Zelditch, Steven 1953
Overview
Works:  9 works in 34 publications in 1 language and 710 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Contributor 
Classifications:  QA3, 516.362 
Publication Timeline
.
Most widely held works by
Steven Zelditch
Selberg trace formulae and equidistribution theorems for closed geodesics and Laplace eigenfunctions : finite area surfaces by
Steven Zelditch(
Book
)
14 editions published in 1992 in English and held by 277 WorldCat member libraries worldwide
This memoir extends the author's earlier work and gives a generalization of the Selberg trace formula and applications to generalizations of the eigenvalue counting problem and the prime geodesic theorem. As a consequence of these results, he obtains both a proof of the equidistribution theorem for closed geodesics and sharp error estimates. His previous work derived the relevant trace formulae in the compact quotient case, and this paper is concerned largely with the additional complications that occur in the noncompact case, both in terms of deriving the relevant formulae and in estimating various terms
14 editions published in 1992 in English and held by 277 WorldCat member libraries worldwide
This memoir extends the author's earlier work and gives a generalization of the Selberg trace formula and applications to generalizations of the eigenvalue counting problem and the prime geodesic theorem. As a consequence of these results, he obtains both a proof of the equidistribution theorem for closed geodesics and sharp error estimates. His previous work derived the relevant trace formulae in the compact quotient case, and this paper is concerned largely with the additional complications that occur in the noncompact case, both in terms of deriving the relevant formulae and in estimating various terms
Eigenfunctions of the Laplacian on a Riemannian manifold by
Steven Zelditch(
Book
)
10 editions published between 2017 and 2018 in English and held by 185 WorldCat member libraries worldwide
"Eigenfunctions of the Laplacian of a Riemannian manifold can be described in terms of vibrating membranes as well as quantum energy eigenstates. This book is an introduction to both the local and global analysis of eigenfunctions. The local analysis of eigenfunctions pertains to the behavior of the eigenfunctions on wavelength scale balls. After rescaling to a unit ball, the eigenfunctions resemble almostharmonic functions. Global analysis refers to the use of wave equation methods to relate properties of eigenfunctions to properties of the geodesic flow. The emphasis is on the global methods and the use of Fourier integral operator methods to analyze norms and nodal sets of eigenfunctions. A somewhat unusual topic is the analytic continuation of eigenfunctions to Grauert tubes in the real analytic case, and the study of nodal sets in the complex domain. The book, which grew out of lectures given by the author at a CBMS conference in 2011, provides complete proofs of some model results, but more often it gives informal and intuitive explanations of proofs of fairly recent results. It conveys interrelated themes and results and offers an uptodate comprehensive treatment of this important active area of research"Back cover
10 editions published between 2017 and 2018 in English and held by 185 WorldCat member libraries worldwide
"Eigenfunctions of the Laplacian of a Riemannian manifold can be described in terms of vibrating membranes as well as quantum energy eigenstates. This book is an introduction to both the local and global analysis of eigenfunctions. The local analysis of eigenfunctions pertains to the behavior of the eigenfunctions on wavelength scale balls. After rescaling to a unit ball, the eigenfunctions resemble almostharmonic functions. Global analysis refers to the use of wave equation methods to relate properties of eigenfunctions to properties of the geodesic flow. The emphasis is on the global methods and the use of Fourier integral operator methods to analyze norms and nodal sets of eigenfunctions. A somewhat unusual topic is the analytic continuation of eigenfunctions to Grauert tubes in the real analytic case, and the study of nodal sets in the complex domain. The book, which grew out of lectures given by the author at a CBMS conference in 2011, provides complete proofs of some model results, but more often it gives informal and intuitive explanations of proofs of fairly recent results. It conveys interrelated themes and results and offers an uptodate comprehensive treatment of this important active area of research"Back cover
Algebraic and analytic microlocal analysis : AAMA, Evanston, Illinois, USA, 2012 And 2013(
)
3 editions published in 2018 in English and held by 145 WorldCat member libraries worldwide
3 editions published in 2018 in English and held by 145 WorldCat member libraries worldwide
Geometry and topology : lectures given at the Geometry and Topology conferences at Harvard University in 2011 and at Lehigh
University in 2012(
Book
)
1 edition published in 2013 in English and held by 60 WorldCat member libraries worldwide
This volume includes papers presented by several speakers at the Geometry and Topology conferences at Harvard University in 2011 and at Lehigh University in 2012. Included are works by Simon Brendle, on the Lagrangian minimal surface equation and related problems; by Sergio Cecotti and Cumrun Vafa, concerning classification of complete N=2 supersymmetric theories in four dimensions; by F. Reese Harvey and H. Blaine Lawson Jr., on existence, uniqueness, and removable singularities for nonlinear PDEs in geometry; by János Kollár, concerning links of complex analytic singularities; by Claude LeBrun, on Calabi energies of extremal toric surfaces; by MuTao Wang, concerning mean curvature flows and isotopy problems; and by Steve Zelditch, on eigenfunctions and nodal sets
1 edition published in 2013 in English and held by 60 WorldCat member libraries worldwide
This volume includes papers presented by several speakers at the Geometry and Topology conferences at Harvard University in 2011 and at Lehigh University in 2012. Included are works by Simon Brendle, on the Lagrangian minimal surface equation and related problems; by Sergio Cecotti and Cumrun Vafa, concerning classification of complete N=2 supersymmetric theories in four dimensions; by F. Reese Harvey and H. Blaine Lawson Jr., on existence, uniqueness, and removable singularities for nonlinear PDEs in geometry; by János Kollár, concerning links of complex analytic singularities; by Claude LeBrun, on Calabi energies of extremal toric surfaces; by MuTao Wang, concerning mean curvature flows and isotopy problems; and by Steve Zelditch, on eigenfunctions and nodal sets
Algebraic and Analytic Microlocal Analysis : AAMA, Evanston, Illinois, USA, 2012 and 2013(
)
1 edition published in 2018 in English and held by 25 WorldCat member libraries worldwide
1 edition published in 2018 in English and held by 25 WorldCat member libraries worldwide
Selberg trace formulae and equidistribution theorems for closed geodesics and Laplace eigenfunctions : finite area surfaces by
Steven Zelditch(
Book
)
1 edition published in 1992 in English and held by 14 WorldCat member libraries worldwide
1 edition published in 1992 in English and held by 14 WorldCat member libraries worldwide
Determinants of Laplacians in exterior domains by
Andrew Hassell(
Book
)
2 editions published in 1999 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1999 in English and held by 2 WorldCat member libraries worldwide
Memoirs of the American Mathematical Society(
Book
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Selberg trace formulae and equidistribution theorems for closed geodesics and Laplace eigenfuntions: finite area surfaces by
Steven Zelditch(
Book
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Hitrik, Michael Editor
 Tamarkin, Dmitry Editor
 Tsygan, Boris Editor
 National Science Foundation (U.S.)
 American Mathematical Society
 LeBrun, Claude 1956 Contributor
 Yau, ShingTung 1949 Editor
 Cecottie, Sergio Contributor
 Harvey, F. Reese Contributor
 Wang, MuTao Contributor
Useful Links
Associated Subjects
Algebraic functions Curves on surfaces Cusp forms (Mathematics) Differential equations, Partial Differential operators Eigenfunctions Eisenstein series Geodesics (Mathematics) Geometry, Differential Laplacian operator Mathematics Microlocal analysis Riemannian manifolds Scattering (Mathematics) Topology
Alternative Names
Steven Zelditch American mathematician
Steven Zelditch Amerikaans wiskundige
Steven Zelditch matemàtic estatunidenc
Steven Zelditch matemático estadounidense
Steven Zelditch USamerikanischer Mathematiker
Zelditch, S.
Zelditch, Steve.
Zelditch, Steve 1953
Languages