WorldCat Identities

Berenstein, Carlos A.

Overview
Works: 79 works in 312 publications in 2 languages and 4,515 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Other, htt, Creator, Honoree, Dedicatee
Classifications: QA3, 515.9
Publication Timeline
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Most widely held works by Carlos A Berenstein
Analytically uniform spaces and their applications to convolution equations by Carlos A Berenstein( Book )

25 editions published between 1972 and 2008 in English and German and held by 643 WorldCat member libraries worldwide

Complex variables : an introduction by Carlos A Berenstein( Book )

24 editions published between 1991 and 2012 in English and Undetermined and held by 588 WorldCat member libraries worldwide

This text gives an overview of the basic properties of holomorphic functions of one complex variable. Topics studied in this overview include a detailed description of differential forms, homotopy theory, and homology theory, as the analytic properties of holomorphic functions, the solvability of the inhomogeneous Cauchy-Riemann equation with emphasis on the notation of compact families, the theory of growth of subharmonic functions, and an introduction to the theory of sheaves, covering spaces and Riemann surfaces. To further illuminate the material, a large number of exercises of differing levels of difficulty have been added
Complex analysis : proceedings of the special year held at the University of Maryland, College Park, 1985-86 by Carlos A Berenstein( Book )

42 editions published between 1987 and 2006 in 3 languages and held by 548 WorldCat member libraries worldwide

The past several years have witnessed a striking number of important developments in Complex Analysis. One of the characteristics of these developments has been to bridge the gap existing between the theory of functions of one and of several complex variables. The Special Year in Complex Analysis at the University of Maryland, and these proceedings, were conceived as a forum where these new developments could be presented and where specialists in different areas of complex analysis could exchange ideas. These proceedings contain both surveys of different subjects covered during the year as well as many new results and insights. The manuscripts are accessible not only to specialists but to a broader audience. Among the subjects touched upon are Nevanlinna theory in one and several variables, interpolation problems in Cn, estimations and integral representations of the solutions of the Cauchy-Riemann equations, the complex Monge-Ampre equation, geometric problems in complex analysis in Cn, applications of complex analysis to harmonic analysis, partial differential equations
Harmonic analysis, signal processing, and complexity : festschrift in honor of the 60th birthday of Carlos A. Berenstein by Hyman Bass( )

10 editions published between 2005 and 2006 in English and held by 533 WorldCat member libraries worldwide

Carlos A. Berenstein has had a profound influence on scholars and practitioners alike amid a distinguished mathematical career spanning nearly four decades. His uncommon capability of adroitly moving between these parallel worlds is demonstrated by the breadth of his research interests, from his early theoretical work on interpolation in spaces of entire functions with growth conditions and residue theory to his later work on deconvolution and its applications to issues ranging from optics to the study of blood flow. This volume, which celebrates his sixtieth birthday, reflects the state-of-the-art in these areas. Original articles and survey articles, all refereed, cover topics inharmonic and complex analysis, as well as more applied work in signal processing. TOC:Preface * John Baras * Carlos A. Berenstein* Leon Ehrenpreis * Gerald Kaiser * Christer Kiselman * Steven G. Krantz * Krishnaprasad * Bao Qin Li * Irene Sabadini * Bernard Shiffman * Daniele C. Struppa * Alan Taylor * David F. Walnut
Integral geometry, radon transforms, and complex analysis : lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held in Venezia, Italy, June 3-12, 1996 by Carlos A Berenstein( Book )

23 editions published between 1998 and 2006 in English and German and held by 479 WorldCat member libraries worldwide

This book contains the notes of five short courses delivered at the "Centro Internazionale Matematico Estivo" session "Integral Geometry, Radon Transforms and Complex Analysis" held in Venice (Italy) in June 1996: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share a stress on CR manifolds and related problems. All lectures are accessible to a wide audience, and provide self-contained introductions and short surveys on the subjects, as well as detailed expositions of selected results
Complex analysis and special topics in harmonic analysis by Carlos A Berenstein( Book )

14 editions published in 1995 in English and held by 341 WorldCat member libraries worldwide

By providing an overview of current research and open problems, as well as topics that have wide applications in engineering, this book should be of interest to mathematicians and applied mathematicians, as well as to graduate students beginning their research
Residue currents and Bezout identities( Book )

1 edition published in 1993 in English and held by 220 WorldCat member libraries worldwide

Complex analysis II : proceedings of the special year held at the University of Maryland, College Park, 1985-86 by Carlos A Berenstein( )

18 editions published between 1987 and 2006 in English and Undetermined and held by 160 WorldCat member libraries worldwide

Laguerre calculus and its applications on the Heisenberg group by Carlos A Berenstein( Book )

1 edition published in 2001 in English and held by 159 WorldCat member libraries worldwide

Residue currents and Bezout identities by Carlos A Berenstein( )

11 editions published between 1992 and 1993 in English and German and held by 93 WorldCat member libraries worldwide

The objective of this monograph is to present a coherent picture of the almost mysterious role that analytic methods and, in particular, multidimensional residue have recently played in obtaining effective estimates for problems in commutative algebra. Bezout identities, i. e., f1g1 + ... + fmgm = 1, appear naturally in many problems, for example in commutative algebra in the Nullstellensatz, and in signal processing in the deconvolution problem. One way to solve them is by using explicit interpolation formulas in Cn, and these depend on the theory of multidimensional residues. The authors present this theory in detail, in a form developed by them, and illustrate its applications to the effective Nullstellensatz and to the Fundamental Principle for convolution equations
Homogenization of partial differential equations by V. A Marchenko( )

5 editions published in 2006 in English and Undetermined and held by 87 WorldCat member libraries worldwide

Homogenization is a method for modeling processes in microinhomogeneous media, which are encountered in radiophysics, filtration theory, rheology, elasticity theory, and other domains of mechanics, physics, and technology. These processes are described by PDEs with rapidly oscillating coefficients or boundary value problems in domains with complex microstructure. From the technical point of view, given the complexity of these processes, the best techniques to solve a wide variety of problems involve constructing appropriate macroscopic (homogenized) models. The present monograph is a comprehensive study of homogenized problems, based on the asymptotic analysis of boundary value problems as the characteristic scales of the microstructure decrease to zero. The work focuses on the construction of nonstandard models: non-local models, multicomponent models, and models with memory. Along with complete proofs of all main results, numerous examples of typical structures of microinhomogeneous media with their corresponding homogenized models are provided. Graduate students, applied mathematicians, physicists, and engineers will benefit from this monograph, which may be used in the classroom or as a comprehensive reference text
Complex analysis. proceedings of the Special year held at the University of Maryland, College Park, 1985-86 by Carlos A Berenstein( Book )

17 editions published between 1987 and 2006 in English and Undetermined and held by 86 WorldCat member libraries worldwide

The past several years have witnessed a striking number of important developments in Complex Analysis. One of the characteristics of these developments has been to bridge the gap existing between the theory of functions of one and of several complex variables. The Special Year in Complex Analysis at the University of Maryland, and these proceedings, were conceived as a forum where these new developments could be presented and where specialists in different areas of complex analysis could exchange ideas. These proceedings contain both surveys of different subjects covered during the year as well as many new results and insights. The manuscripts are accessible not only to specialists but to a broader audience. Among the subjects touched upon are Nevanlinna theory in one and several variables, interpolation problems in Cn, estimations and integral representations of the solutions of the Cauchy-Riemann equations, the complex Monge-Ampère equation, geometric problems in complex analysis in Cn, applications of complex analysis to harmonic analysis, partial differential equations
Complex analysis by C Berenstein( Book )

5 editions published in 1987 in English and Undetermined and held by 75 WorldCat member libraries worldwide

Complex Analysis I : Proceedings of the Special Year held at the University of Maryland, College Park, 1985-86 by Carlos A Berenstein( )

2 editions published in 1987 in English and held by 73 WorldCat member libraries worldwide

Complex Analysis II : Proceedings of the Special Year held at the University of Maryland, College Park, 1985-86 by Carlos A Berenstein( )

2 editions published in 1987 in English and held by 71 WorldCat member libraries worldwide

Complex Analysis III : Proceedings of the Special Year held at the University of Maryland, College Park, 1985-86 by Carlos A Berenstein( )

2 editions published in 1987 in English and held by 71 WorldCat member libraries worldwide

Laguerre calculus and its applications on the Heisenberg group by Carlos A Berenstein( )

11 editions published in 2001 in English and held by 45 WorldCat member libraries worldwide

For nearly two centuries, the relation between analytic functions of one complex variable, their boundary values, harmonic functions, and the theory of Fourier series has been one of the central topics of study in mathematics. The topic stands on its own, yet also provides very useful mathematical applications. This text provides a self-contained introduction to the corresponding questions in several complex variables: namely, analysis on the Heisenberg group and the study of the solutions of the boundary Cauchy-Riemann equations. In studying this material, readers are exposed to analysis in n
Complex analysis by Carlos A. Berenstein( Book )

3 editions published in 1987 in English and Undetermined and held by 34 WorldCat member libraries worldwide

Complex analysis by Carlos A. Berenstein( Book )

3 editions published in 1987 in English and Undetermined and held by 25 WorldCat member libraries worldwide

 
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Harmonic analysis, signal processing, and complexity : festschrift in honor of the 60th birthday of Carlos A. Berenstein
Covers
Complex variables : an introductionComplex analysis : proceedings of the special year held at the University of Maryland, College Park, 1985-86Harmonic analysis, signal processing, and complexity : festschrift in honor of the 60th birthday of Carlos A. BerensteinIntegral geometry, radon transforms, and complex analysis : lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held in Venezia, Italy, June 3-12, 1996Complex analysis II : proceedings of the special year held at the University of Maryland, College Park, 1985-86Laguerre calculus and its applications on the Heisenberg groupHomogenization of partial differential equationsComplex analysis. proceedings of the Special year held at the University of Maryland, College Park, 1985-86
Alternative Names
Berenstein, C.

Berenstein, C.A.

Berenstein, C. A. 1944-

Berenstein, C. A. (Carlos A.)

Berenstein, C. A. (Carlos A.), 1944-

Berenstein, Carlos

Berenstein, Carlos 1944-

Berenstein, Carlos A.

Berenstein, Carlos Alberto 1944-

Languages
English (209)

German (5)