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Works:  2,064 works in 2,113 publications in 2 languages and 30,908 library holdings 

Genres:  Conference papers and proceedings 
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Classifications:  QA3, 510 
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Lectures on SeibergWitten invariants by
John D Moore(
)
2 editions published between 1996 and 2001 in English and held by 62 WorldCat member libraries worldwide
This book gives a streamlined introduction to the theory of SeibergWitten invariants suitable for secondyear graduate students. These invariants can be used to prove that there are many compact topological fourmanifolds which have more than one smooth structure, and that others have no smooth structure at all. This topic provides an excellent example of how global analysis techniques, which have been developed to study nonlinear partial differential equations, can be applied to the solution of interesting geometrical problems. In the second edition, some material has been expanded for better comprehension
2 editions published between 1996 and 2001 in English and held by 62 WorldCat member libraries worldwide
This book gives a streamlined introduction to the theory of SeibergWitten invariants suitable for secondyear graduate students. These invariants can be used to prove that there are many compact topological fourmanifolds which have more than one smooth structure, and that others have no smooth structure at all. This topic provides an excellent example of how global analysis techniques, which have been developed to study nonlinear partial differential equations, can be applied to the solution of interesting geometrical problems. In the second edition, some material has been expanded for better comprehension
Geometric aspects of functional analysis : Israel seminar (GAFA) 198990 by
Bo'az Klartag(
)
2 editions published between 1988 and 1989 in English and held by 55 WorldCat member libraries worldwide
This is the third published volume of the proceedings of the Israel Seminar on Geometric Aspects of Functional Analysis. The large majority of the papers in this volume are original research papers. There was last year a strong emphasis on classical finitedimensional convexity theory and its connection with Banach space theory. In recent years, it has become evident that the notions and results of the local theory of Banach spaces are useful in solving classical questions in convexity theory. The present volume contributes to clarifying this point. In addition this volume contains basic contributions to ergodic theory, invariant subspace theory and qualitative differential geometry
2 editions published between 1988 and 1989 in English and held by 55 WorldCat member libraries worldwide
This is the third published volume of the proceedings of the Israel Seminar on Geometric Aspects of Functional Analysis. The large majority of the papers in this volume are original research papers. There was last year a strong emphasis on classical finitedimensional convexity theory and its connection with Banach space theory. In recent years, it has become evident that the notions and results of the local theory of Banach spaces are useful in solving classical questions in convexity theory. The present volume contributes to clarifying this point. In addition this volume contains basic contributions to ergodic theory, invariant subspace theory and qualitative differential geometry
Equations différentielles et systèmes de Pfaff dans le champ complexe by
R Gérard(
)
2 editions published between 1979 and 1983 in French and held by 54 WorldCat member libraries worldwide
2 editions published between 1979 and 1983 in French and held by 54 WorldCat member libraries worldwide
Rare earths by
Jack D Dunitz(
)
3 editions published between 1973 and 1976 in English and held by 52 WorldCat member libraries worldwide
3 editions published between 1973 and 1976 in English and held by 52 WorldCat member libraries worldwide
Realizations of polylogarithms by
Jörg Wildeshaus(
)
1 edition published in 1997 in English and held by 37 WorldCat member libraries worldwide
Classically, higher logarithms appear as multivalued functions on the projective line. Today they can be interpreted as entries of the period matrix of a certain variation of Hodge structure, itself called the "polylogarithm". The aim of the book is to document the sheaftheoretical foundations of the field of polylogarithms. Earlier, partly unpublished results and constructions of Beilinson, Deligne, and Levin on the classical and elliptic polylog are generalized to the context of Shimura varieties. The reader is expected to have a sound background in algebraic geometry. Large parts of the book are expository, and intended as a reference for the working mathematician. Where a selfcontained exposition was not possible, the author gives references in order to make the material accessible for advanced graduate students
1 edition published in 1997 in English and held by 37 WorldCat member libraries worldwide
Classically, higher logarithms appear as multivalued functions on the projective line. Today they can be interpreted as entries of the period matrix of a certain variation of Hodge structure, itself called the "polylogarithm". The aim of the book is to document the sheaftheoretical foundations of the field of polylogarithms. Earlier, partly unpublished results and constructions of Beilinson, Deligne, and Levin on the classical and elliptic polylog are generalized to the context of Shimura varieties. The reader is expected to have a sound background in algebraic geometry. Large parts of the book are expository, and intended as a reference for the working mathematician. Where a selfcontained exposition was not possible, the author gives references in order to make the material accessible for advanced graduate students
Theory of a higherorder SturmLiouville equation by
Vladimir Kozlov(
)
1 edition published in 1997 in English and held by 36 WorldCat member libraries worldwide
This book develops a detailed theory of a generalized SturmLiouville Equation, which includes conditions of solvability, classes of uniqueness, positivity properties of solutions and Green's functions, asymptotic properties of solutions at infinity. Of independent interest, the higherorder SturmLiouville equation also proved to have important applications to differential equations with operator coefficients and elliptic boundary value problems for domains with nonsmooth boundaries. The book addresses graduate students and researchers in ordinary and partial differential equations, and is accessible with a standard undergraduate course in real analysis
1 edition published in 1997 in English and held by 36 WorldCat member libraries worldwide
This book develops a detailed theory of a generalized SturmLiouville Equation, which includes conditions of solvability, classes of uniqueness, positivity properties of solutions and Green's functions, asymptotic properties of solutions at infinity. Of independent interest, the higherorder SturmLiouville equation also proved to have important applications to differential equations with operator coefficients and elliptic boundary value problems for domains with nonsmooth boundaries. The book addresses graduate students and researchers in ordinary and partial differential equations, and is accessible with a standard undergraduate course in real analysis
Threespace problems in Banach space theory by
Jesús M. F Castillo(
)
1 edition published in 1997 in English and held by 36 WorldCat member libraries worldwide
This book on Banach space theory focuses on what have been called threespace problems. It contains a fairly complete description of ideas, methods, results and counterexamples. It can be considered selfcontained, beyond a course in functional analysis and some familiarity with modern Banach space methods. It will be of interest to researchers for its methods and open problems, and to students for the exposition of techniques and examples
1 edition published in 1997 in English and held by 36 WorldCat member libraries worldwide
This book on Banach space theory focuses on what have been called threespace problems. It contains a fairly complete description of ideas, methods, results and counterexamples. It can be considered selfcontained, beyond a course in functional analysis and some familiarity with modern Banach space methods. It will be of interest to researchers for its methods and open problems, and to students for the exposition of techniques and examples
Vector bundles on curvesnew directions : lectures given at the 3rd session of the Centro internazionale matematico estivo
(C.I.M.E.) held in Cetraro (Cosenza), Italy, June 1927, 1995 by
S Kumar(
)
1 edition published in 1997 in English and held by 36 WorldCat member libraries worldwide
The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming from Theoretical Physics. It deals with: 1. The relation between conformal blocks and generalised theta functions (Lectures by S. Kumar) 2. Drinfeld Shtukas (Lectures by G. Laumon) 3. Drinfeld modules and Elliptic Sheaves (Lectures by U. Stuhler) The latter topics are useful in connection with Langlands programme for function fields. The contents of the book would give a comprehensive introduction of these topics to graduate students and researchers
1 edition published in 1997 in English and held by 36 WorldCat member libraries worldwide
The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming from Theoretical Physics. It deals with: 1. The relation between conformal blocks and generalised theta functions (Lectures by S. Kumar) 2. Drinfeld Shtukas (Lectures by G. Laumon) 3. Drinfeld modules and Elliptic Sheaves (Lectures by U. Stuhler) The latter topics are useful in connection with Langlands programme for function fields. The contents of the book would give a comprehensive introduction of these topics to graduate students and researchers
Potential theory : selected topics by
Hiroaki Aikawa(
)
1 edition published in 1996 in English and held by 35 WorldCat member libraries worldwide
The first part of these lecture notes is an introduction to potential theory to prepare the reader for later parts, which can be used as the basis for a series of advanced lectures/seminars on potential theory/harmonic analysis. Topics covered in the book include minimal thinness, quasiadditivity of capacity, applications of singular integrals to potential theory, L(p)capacity theory, fine limits of the NagelStein boundary limit theorem and integrability of superharmonic functions. The notes are written for an audience familiar with the theory of integration, distributions and basic functional analysis
1 edition published in 1996 in English and held by 35 WorldCat member libraries worldwide
The first part of these lecture notes is an introduction to potential theory to prepare the reader for later parts, which can be used as the basis for a series of advanced lectures/seminars on potential theory/harmonic analysis. Topics covered in the book include minimal thinness, quasiadditivity of capacity, applications of singular integrals to potential theory, L(p)capacity theory, fine limits of the NagelStein boundary limit theorem and integrability of superharmonic functions. The notes are written for an audience familiar with the theory of integration, distributions and basic functional analysis
Probability and analysis : lectures given at the 1st 1985 session of the Centro internazionale matematico estivo (C.I.M.E.)
held at Varenna, Como, Italy, May 31June 8, 1985 by
Centro internazionale matematico estivo(
)
1 edition published in 1986 in English and held by 35 WorldCat member libraries worldwide
Annotation
1 edition published in 1986 in English and held by 35 WorldCat member libraries worldwide
Annotation
Sequences, discrepancies, and applications by
Michael Drmota(
)
1 edition published in 1997 in English and held by 35 WorldCat member libraries worldwide
The main purpose of this book is to give an overview of the developments during the last 20 years in the theory of uniformly distributed sequences. The authors focus on various aspects such as special sequences, metric theory, geometric concepts of discrepancy, irregularities of distribution, continuous uniform distribution and uniform distribution in discrete spaces. Specific applications are presented in detail: numerical integration, spherical designs, random number generation and mathematical finance. Furthermore over 1000 references are collected and discussed. While written in the style of a research monograph, the book is readable with basic knowledge in analysis, number theory and measure theory
1 edition published in 1997 in English and held by 35 WorldCat member libraries worldwide
The main purpose of this book is to give an overview of the developments during the last 20 years in the theory of uniformly distributed sequences. The authors focus on various aspects such as special sequences, metric theory, geometric concepts of discrepancy, irregularities of distribution, continuous uniform distribution and uniform distribution in discrete spaces. Specific applications are presented in detail: numerical integration, spherical designs, random number generation and mathematical finance. Furthermore over 1000 references are collected and discussed. While written in the style of a research monograph, the book is readable with basic knowledge in analysis, number theory and measure theory
Total colourings of graphs by
H. P Yap(
)
1 edition published in 1996 in English and held by 35 WorldCat member libraries worldwide
This book provides an uptodate and rapid introduction to an important and currently active topic in graph theory. The author leads the reader to the forefront of research in this area. Complete and easily readable proofs of all the main theorems, together with numerous examples, exercises and open problems are given. The book is suitable for use as a textbook or as seminar material for advanced undergraduate and graduate students. The references are comprehensive and so it will also be useful for researchers as a handbook
1 edition published in 1996 in English and held by 35 WorldCat member libraries worldwide
This book provides an uptodate and rapid introduction to an important and currently active topic in graph theory. The author leads the reader to the forefront of research in this area. Complete and easily readable proofs of all the main theorems, together with numerous examples, exercises and open problems are given. The book is suitable for use as a textbook or as seminar material for advanced undergraduate and graduate students. The references are comprehensive and so it will also be useful for researchers as a handbook
Ideal spaces by
Martin Väth(
)
1 edition published in 1997 in English and held by 35 WorldCat member libraries worldwide
Ideal spaces are a very general class of normed spaces of measurable functions, which includes e.g. Lebesgue and Orlicz spaces. Their most important application is in functional analysis in the theory of (usual and partial) integral and integrodifferential equations. The book is a rather complete and selfcontained introduction into the general theory of ideal spaces. Some emphasis is put on spaces of vectorvalued functions and on the constructive viewpoint of the theory (without the axiom of choice). The reader should have basic knowledge in functional analysis and measure theory
1 edition published in 1997 in English and held by 35 WorldCat member libraries worldwide
Ideal spaces are a very general class of normed spaces of measurable functions, which includes e.g. Lebesgue and Orlicz spaces. Their most important application is in functional analysis in the theory of (usual and partial) integral and integrodifferential equations. The book is a rather complete and selfcontained introduction into the general theory of ideal spaces. Some emphasis is put on spaces of vectorvalued functions and on the constructive viewpoint of the theory (without the axiom of choice). The reader should have basic knowledge in functional analysis and measure theory
Probabilistic models for nonlinear partial differential equations : lectures given at the 1st session of the Centro internazionale
matematico estivo (C.I.M.E.) held in Montecatini Terme, Italy, May 2230, 1995 by
Centro internazionale matematico estivo(
)
1 edition published in 1996 in English and held by 35 WorldCat member libraries worldwide
The lecture courses of the CIME Summer School on Probabilistic Models for Nonlinear PDE's and their Numerical Applications (April 1995) had a threefold emphasis: first, on the weak convergence of stochastic integrals; second, on the probabilistic interpretation and the particle approximation of equations coming from Physics (conservation laws, Boltzmannlike and NavierStokes equations); third, on the modelling of networks by interacting particle systems. This book, collecting the notes of these courses, will be useful to probabilists working on stochastic particle methods and on the approximation of SPDEs, in particular, to PhD students and young researchers
1 edition published in 1996 in English and held by 35 WorldCat member libraries worldwide
The lecture courses of the CIME Summer School on Probabilistic Models for Nonlinear PDE's and their Numerical Applications (April 1995) had a threefold emphasis: first, on the weak convergence of stochastic integrals; second, on the probabilistic interpretation and the particle approximation of equations coming from Physics (conservation laws, Boltzmannlike and NavierStokes equations); third, on the modelling of networks by interacting particle systems. This book, collecting the notes of these courses, will be useful to probabilists working on stochastic particle methods and on the approximation of SPDEs, in particular, to PhD students and young researchers
Séminaire de probabilités 19671980 : a selection in Martingale theory by
Michel Emery(
)
1 edition published in 2002 in French and held by 35 WorldCat member libraries worldwide
Annotation
1 edition published in 2002 in French and held by 35 WorldCat member libraries worldwide
Annotation
Coexistence and persistence of strange attractors by
Antonio Pumariño(
)
1 edition published in 1997 in English and held by 35 WorldCat member libraries worldwide
Although chaotic behaviour had often been observed numerically earlier, the first mathematical proof of the existence, with positive probability (persistence) of strange attractors was given by Benedicks and Carleson for the Henon family, at the beginning of 1990's. Later, Mora and Viana demonstrated that a strange attractor is also persistent in generic oneparameter families of diffeomorphims on a surface which unfolds homoclinic tangency. This book is about the persistence of any number of strange attractors in saddlefocus connections. The coexistence and persistence of any number of strange attractors in a simple threedimensional scenario are proved, as well as the fact that infinitely many of them exist simultaneously
1 edition published in 1997 in English and held by 35 WorldCat member libraries worldwide
Although chaotic behaviour had often been observed numerically earlier, the first mathematical proof of the existence, with positive probability (persistence) of strange attractors was given by Benedicks and Carleson for the Henon family, at the beginning of 1990's. Later, Mora and Viana demonstrated that a strange attractor is also persistent in generic oneparameter families of diffeomorphims on a surface which unfolds homoclinic tangency. This book is about the persistence of any number of strange attractors in saddlefocus connections. The coexistence and persistence of any number of strange attractors in a simple threedimensional scenario are proved, as well as the fact that infinitely many of them exist simultaneously
The principle of least action in geometry and dynamics by
Karl Friedrich Siburg(
)
1 edition published in 2004 in English and held by 35 WorldCat member libraries worldwide
New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mather's minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book
1 edition published in 2004 in English and held by 35 WorldCat member libraries worldwide
New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mather's minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book
Twoparameter martingales and their quadratic variation by
Peter Imkeller(
)
1 edition published in 1988 in English and held by 35 WorldCat member libraries worldwide
This book has twofold aims. In a first part it gives an introductory, thorough and essentially selfcontained treatment of the general theory of twoparameter processes that has developed since around 1975. Apart from two survey papers by Merzbach and Meyer it is the first text of this kind. The second part presents the results of recent research by the author on martingale theory and stochastic calculus for twoparameter processes. Both the results and the methods of these two chapters are almost entirely new, and are of particular interest. They provide the fundamentals of a general stochastic analysis of twoparameter processes including, in particular, so far inaccessible jump phenomena. The typical rader is assumed to have some basic knowledge of the general theory of oneparameter martingales. The book should be accessible to probabilistically interested mathematicians who a) wish to become acquainted with or have a complete treatment of the main features of the general theory of twoparameter processes and basics of their stochastic calculus, b) intend to learn about the most recent developments in this area
1 edition published in 1988 in English and held by 35 WorldCat member libraries worldwide
This book has twofold aims. In a first part it gives an introductory, thorough and essentially selfcontained treatment of the general theory of twoparameter processes that has developed since around 1975. Apart from two survey papers by Merzbach and Meyer it is the first text of this kind. The second part presents the results of recent research by the author on martingale theory and stochastic calculus for twoparameter processes. Both the results and the methods of these two chapters are almost entirely new, and are of particular interest. They provide the fundamentals of a general stochastic analysis of twoparameter processes including, in particular, so far inaccessible jump phenomena. The typical rader is assumed to have some basic knowledge of the general theory of oneparameter martingales. The book should be accessible to probabilistically interested mathematicians who a) wish to become acquainted with or have a complete treatment of the main features of the general theory of twoparameter processes and basics of their stochastic calculus, b) intend to learn about the most recent developments in this area
Projective modules and complete intersections by
Satya Mandal(
)
1 edition published in 1997 in English and held by 35 WorldCat member libraries worldwide
In these notes on "Projective Modules and Complete Intersections" an account on the recent developments in research on this subject is presented. The author's preference for the technique of Patching isotopic isomorphisms due to Quillen, formalized by Plumsted, over the techniques of elementary matrices is evident here. The treatment of Basic Element theory here incorporates Plumstead's idea of the "generalized dimension functions". These notes are highly selfcontained and should be accessible to any graduate student in commutative algebra or algebraic geometry. They include fully selfcontained presentations of the theorems of FerrandSzpiro, CowsikNori and the techniques of Lindel
1 edition published in 1997 in English and held by 35 WorldCat member libraries worldwide
In these notes on "Projective Modules and Complete Intersections" an account on the recent developments in research on this subject is presented. The author's preference for the technique of Patching isotopic isomorphisms due to Quillen, formalized by Plumsted, over the techniques of elementary matrices is evident here. The treatment of Basic Element theory here incorporates Plumstead's idea of the "generalized dimension functions". These notes are highly selfcontained and should be accessible to any graduate student in commutative algebra or algebraic geometry. They include fully selfcontained presentations of the theorems of FerrandSzpiro, CowsikNori and the techniques of Lindel
Moment theory and some inverse problems in potential theory and heat conduction by
Dang Dinh Ang(
)
1 edition published in 2002 in English and held by 35 WorldCat member libraries worldwide
Moment Theory is not a new subject; however, in classical treatments, the illposedness of the problem is not taken into account  hence this monograph. Assuming a "true" solution to be uniquely determined by a sequence of moments (given as integrals) of which only finitely many are inaccurately given, the authors describe and analyze several regularization methods and derive stability estimates. Mathematically, the task often consists in the reconstruction of an analytic or harmonic function, as is natural from concrete applications discussed (e.g. inverse heat conduction problems, Cauchy's problem for the Laplace equation, gravimetry). The book can be used in a graduate or upper undergraduate course in Inverse Problems, or as supplementary reading for a course on Applied Partial Differential Equations
1 edition published in 2002 in English and held by 35 WorldCat member libraries worldwide
Moment Theory is not a new subject; however, in classical treatments, the illposedness of the problem is not taken into account  hence this monograph. Assuming a "true" solution to be uniquely determined by a sequence of moments (given as integrals) of which only finitely many are inaccurately given, the authors describe and analyze several regularization methods and derive stability estimates. Mathematically, the task often consists in the reconstruction of an analytic or harmonic function, as is natural from concrete applications discussed (e.g. inverse heat conduction problems, Cauchy's problem for the Laplace equation, gravimetry). The book can be used in a graduate or upper undergraduate course in Inverse Problems, or as supplementary reading for a course on Applied Partial Differential Equations
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Actinium compounds Banach spaces Chaotic behavior in systems Chemical bonds Convergence Differential equations Differential equations, NonlinearNumerical solutions Differential equations, Partial Drinfeld modules Duality theory (Mathematics) Dynamics Ergodic theory Fourmanifolds (Topology) Functional analysis Functions of complex variables Geometric measure theory Geometry Geometry, Algebraic Geometry, Differential Global analysis (Mathematics) Global differential geometry Graph coloring HeatConductionMathematical models Ideal spaces Integral transforms Intersection theory (Mathematics) Inverse problems (Differential equations) Least action Logarithmic functions Logic, Symbolic and mathematical Manifolds (Mathematics) Martingales (Mathematics) Mathematical optimization Moment problems (Mathematics) Organometallic compounds Pfaffian problem Pfaffian systems Potential theory (Mathematics) Probabilities Projective modules (Algebra) Rare earths Sequences (Mathematics) Statistical physics Stochastic partial differential equationsNumerical solutions SturmLiouville equation Thermodynamics Topological groups Ultraproducts Uniform distribution (Probability theory) Vector bundles