The Mathematical Legacy Of Harish Chandra

Author : Harish-Chandra,Robert S. Doran,V. S. Varadarajan
Publisher : American Mathematical Soc.
Page : 551 pages
File Size : 50,6 Mb
Release : 2000
Category : Mathematics
ISBN : 9780821811979

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The Mathematical Legacy of Harish-Chandra by Harish-Chandra,Robert S. Doran,V. S. Varadarajan Pdf

Harish-Chandra was a mathematician of great power, vision, and remarkable ingenuity. His profound contributions to the representation theory of Lie groups, harmonic analysis, and related areas left researchers a rich legacy that continues today. This book presents the proceedings of an AMS Special Session entitled, ""Representation Theory and Noncommutative Harmonic Analysis: A Special Session Honoring the Memory of Harish-Chandra"", which marked 75 years since his birth and 15 years since his untimely death at age 60. Contributions to the volume were written by an outstanding group of internationally known mathematicians. Included are expository and historical surveys and original research papers.The book also includes talks given at the IAS Memorial Service in 1983 by colleagues who knew Harish-Chandra well. Also reprinted are two articles entitled, ""Some Recollections of Harish-Chandra"", by A. Borel, and ""Harish-Chandra's c-Function: A Mathematical Jewel"", by S. Helgason. In addition, an expository paper, ""An Elementary Introduction to Harish-Chandra's Work"", gives an overview of some of his most basic mathematical ideas with references for further study. This volume offers a comprehensive retrospective of Harish-Chandra's professional life and work. Personal recollections give the book particular significance. Readers should have an advanced-level background in the representation theory of Lie groups and harmonic analysis. For other wonderful titles written by this author see: ""Euler through Time: A New Look at Old Themes"", ""Supersymmetry for Mathematicians: An Introduction"", ""The Selected Works of V.S. Varadarajan"", and ""Algebra in Ancient and Modern Times"".

Author : Anonim
Publisher : American Mathematical Society(RI)
Page : 568 pages
File Size : 40,6 Mb
Release : 2014-06-06
Category : MATHEMATICS
ISBN : 0821893734

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The Mathematical Legacy of Harish-Chandra by Anonim Pdf

Harish-Chandra was a mathematician of great power, vision, and remarkable ingenuity. His profound contributions to the representation theory of Lie groups, harmonic analysis, and related areas left researchers a legacy that continues into the 21st century. This book presents the proceedings of an AMS Special Session entitled, Representation Theory and Noncommutative Harmonic Analysis: A Special Session Honouring the Memory of Harish-Chandra, which marked 75 years since his birth and 15 years since his untimely death at age 60. Contributions to the volume were written by internationally known mathematicians. Included are expository and historical surveys and original research papers. The book also includes talks given at the IAS Memorial Service in 1983 by colleagues who knew Harish-Chandra well. Also reprinted are two articles entitled, Some Recollections of Harish-Chandra, by A. Borel, and Harish-Chandra's c-Function: A Mathematical Jewel, by S. Helgason. In addition, an expository paper, An Elementary Introduction to Harish-Chandra's Work, gives an overview of some of his most basic mathematical ideas with references for further study.

Author : M. Ram Murty,V. Kumar Murty
Publisher : Springer Science & Business Media
Page : 188 pages
File Size : 46,5 Mb
Release : 2012-10-05
Category : Mathematics
ISBN : 9788132207702

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The Mathematical Legacy of Srinivasa Ramanujan by M. Ram Murty,V. Kumar Murty Pdf

Srinivasa Ramanujan was a mathematician brilliant beyond comparison who inspired many great mathematicians. There is extensive literature available on the work of Ramanujan. But what is missing in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by Hardy, delivered in 1936, served this purpose at the time they were given. This book presents Ramanujan’s essential mathematical contributions and gives an informal account of some of the major developments that emanated from his work in the 20th and 21st centuries. It contends that his work still has an impact on many different fields of mathematical research. This book examines some of these themes in the landscape of 21st-century mathematics. These essays, based on the lectures given by the authors focus on a subset of Ramanujan’s significant papers and show how these papers shaped the course of modern mathematics.

Author : M. Ram Murty,V. Kumar Murty
Publisher : Springer Science & Business Media
Page : 185 pages
File Size : 55,6 Mb
Release : 2012-10-06
Category : Mathematics
ISBN : 9788132207696

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The Mathematical Legacy of Srinivasa Ramanujan by M. Ram Murty,V. Kumar Murty Pdf

Srinivasa Ramanujan was a mathematician brilliant beyond comparison who inspired many great mathematicians. There is extensive literature available on the work of Ramanujan. But what is missing in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by Hardy, delivered in 1936, served this purpose at the time they were given. This book presents Ramanujan’s essential mathematical contributions and gives an informal account of some of the major developments that emanated from his work in the 20th and 21st centuries. It contends that his work still has an impact on many different fields of mathematical research. This book examines some of these themes in the landscape of 21st-century mathematics. These essays, based on the lectures given by the authors focus on a subset of Ramanujan’s significant papers and show how these papers shaped the course of modern mathematics.

Author : Palle E.T. Jorgensen
Publisher : Courier Dover Publications
Page : 307 pages
File Size : 54,7 Mb
Release : 2017-06-21
Category : Science
ISBN : 9780486815725

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Operators and Representation Theory by Palle E.T. Jorgensen Pdf

Three-part treatment covers background material on definitions, terminology, operators in Hilbert space domains of representations, operators in the enveloping algebra, spectral theory; and covariant representation and connections. 2017 edition.

Author : Jean-Paul Pier
Publisher : OUP Oxford
Page : 440 pages
File Size : 45,8 Mb
Release : 2001-07-05
Category : Mathematics
ISBN : 9780191544941

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Mathematical Analysis during the 20th Century by Jean-Paul Pier Pdf

For several centuries, analysis has been one of the most prestigious and important subjects in mathematics. The present book sets off by tracing the evolution of mathematical analysis, and then endeavours to understand the developments of main trends, problems, and conjectures. It features chapters on general topology, 'classical' integration and measure theory, functional analysis, harmonic analysis and Lie groups, theory of functions and analytic geometry, differential and partial differential equations, topological and differential geometry. The ubiquitous presence of analysis also requires the consideration of related topics such as probability theory or algebraic geometry. Each chapter features a comprehensive first part on developments during the period 1900-1950, and then provides outlooks on representative achievements during the later part of the century. The book provides many original quotations from outstanding mathematicians as well as an extensive bibliography of the seminal publications. It will be an interesting and useful reference work for graduate students, lecturers, and all professional mathematicians and other scientists with an interest in the history of mathematics.

Author : Motoko Kotani,Hisashi Naito,Tatsuya Tate
Publisher : American Mathematical Soc.
Page : 363 pages
File Size : 46,6 Mb
Release : 2009
Category : Number theory
ISBN : 9780821842690

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Spectral Analysis in Geometry and Number Theory by Motoko Kotani,Hisashi Naito,Tatsuya Tate Pdf

This volume is an outgrowth of an international conference in honor of Toshikazu Sunada on the occasion of his sixtieth birthday. The conference took place at Nagoya University, Japan, in 2007. Sunada's research covers a wide spectrum of spectral analysis, including interactions among geometry, number theory, dynamical systems, probability theory and mathematical physics. Readers will find papers on trace formulae, isospectral problems, zeta functions, quantum ergodicity, random waves, discrete geometric analysis, value distribution, and semiclassical analysis. This volume also contains an article that presents an overview of Sunada's work in mathematics up to the age of sixty.

Author : Avraham Aizenbud,Dmitry Gourevitch,David Kazhdan,Erez M. Lapid
Publisher : American Mathematical Soc.
Page : 450 pages
File Size : 54,9 Mb
Release : 2019-02-20
Category : Representations of algebras
ISBN : 9781470442842

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Representations of Reductive Groups by Avraham Aizenbud,Dmitry Gourevitch,David Kazhdan,Erez M. Lapid Pdf

This volume contains the proceedings of the Conference on Representation Theory and Algebraic Geometry, held in honor of Joseph Bernstein, from June 11–16, 2017, at the Weizmann Institute of Science and The Hebrew University of Jerusalem. The topics reflect the decisive and diverse impact of Bernstein on representation theory in its broadest scope. The themes include representations of p -adic groups and Hecke algebras in all characteristics, representations of real groups and supergroups, theta correspondence, and automorphic forms.

Author : Harald Grobner
Publisher : World Scientific
Page : 262 pages
File Size : 52,8 Mb
Release : 2023-06-09
Category : Mathematics
ISBN : 9789811246180

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Smooth-automorphic Forms And Smooth-automorphic Representations by Harald Grobner Pdf

This book provides a conceptual introduction into the representation theory of local and global groups, with final emphasis on automorphic representations of reductive groups G over number fields F.Our approach to automorphic representations differs from the usual literature: We do not consider 'K-finite' automorphic forms, but we allow a richer class of smooth functions of uniform moderate growth. Contrasting the usual approach, our space of 'smooth-automorphic forms' is intrinsic to the group scheme G/F.This setup also covers the advantage that a perfect representation-theoretical symmetry between the archimedean and non-archimedean places of the number field F is regained, by making the bigger space of smooth-automorphic forms into a proper, continuous representation of the full group of adelic points of G.Graduate students and researchers will find the covered topics appear for the first time in a book, where the theory of smooth-automorphic representations is robustly developed and presented in great detail.

Author : Fritz Gesztesy
Publisher : American Mathematical Soc.
Page : 528 pages
File Size : 40,7 Mb
Release : 2007
Category : Mathematical physics
ISBN : 9780821842485

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Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday by Fritz Gesztesy Pdf

This Festschrift had its origins in a conference called SimonFest held at Caltech, March 27-31, 2006, to honor Barry Simon's 60th birthday. It is not a proceedings volume in the usual sense since the emphasis of the majority of the contributions is on reviews of the state of the art of certain fields, with particular focus on recent developments and open problems. The bulk of the articles in this Festschrift are of this survey form, and a few review Simon's contributions to aparticular area. Part 1 contains surveys in the areas of Quantum Field Theory, Statistical Mechanics, Nonrelativistic Two-Body and $N$-Body Quantum Systems, Resonances, Quantum Mechanics with Electric and Magnetic Fields, and the Semiclassical Limit. Part 2 contains surveys in the areas of Random andErgodic Schrodinger Operators, Singular Continuous Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory. In several cases, this collection of surveys portrays both the history of a subject and its current state of the art. A substantial part of the contributions to this Festschrift are survey articles on the state of the art of certain areas with special emphasis on open problems. This will benefit graduate students as well as researchers who want to get a quick, yet comprehensiveintroduction into an area covered in this volume.

Author : James W. Cogdell,Dihua Jiang,Stephen S. Kudla,David Soudry,Robert J. Stanton
Publisher : Walter de Gruyter
Page : 441 pages
File Size : 53,7 Mb
Release : 2011-06-24
Category : Mathematics
ISBN : 9783110892703

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Automorphic Representations, L-Functions and Applications: Progress and Prospects by James W. Cogdell,Dihua Jiang,Stephen S. Kudla,David Soudry,Robert J. Stanton Pdf

This volume is the proceedings of the conference on Automorphic Representations, L-functions and Applications: Progress and Prospects, held at the Department of Mathematics of The Ohio State University, March 27–30, 2003, in honor of the 60th birthday of Steve Rallis. The theory of automorphic representations, automorphic L-functions and their applications to arithmetic continues to be an area of vigorous and fruitful research. The contributed papers in this volume represent many of the most recent developments and directions, including Rankin–Selberg L-functions (Bump, Ginzburg–Jiang–Rallis, Lapid–Rallis) the relative trace formula (Jacquet, Mao–Rallis) automorphic representations (Gan–Gurevich, Ginzburg–Rallis–Soudry) representation theory of p-adic groups (Baruch, Kudla–Rallis, Mœglin, Cogdell–Piatetski-Shapiro–Shahidi) p-adic methods (Harris–Li–Skinner, Vigneras), and arithmetic applications (Chinta–Friedberg–Hoffstein). The survey articles by Bump, on the Rankin–Selberg method, and by Jacquet, on the relative trace formula, should be particularly useful as an introduction to the key ideas about these important topics. This volume should be of interest both to researchers and students in the area of automorphic representations, as well as to mathematicians in other areas interested in having an overview of current developments in this important field.

Author : Toshiyuki Kobayashi,Wilfried Schmid,Jae-Hyun Yang
Publisher : Springer Science & Business Media
Page : 220 pages
File Size : 44,5 Mb
Release : 2007-10-10
Category : Mathematics
ISBN : 9780817646462

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Representation Theory and Automorphic Forms by Toshiyuki Kobayashi,Wilfried Schmid,Jae-Hyun Yang Pdf

This volume uses a unified approach to representation theory and automorphic forms. It collects papers, written by leading mathematicians, that track recent progress in the expanding fields of representation theory and automorphic forms and their association with number theory and differential geometry. Topics include: Automorphic forms and distributions, modular forms, visible-actions, Dirac cohomology, holomorphic forms, harmonic analysis, self-dual representations, and Langlands Functoriality Conjecture, Both graduate students and researchers will find inspiration in this volume.

Author : Anonim
Publisher : Springer Nature
Page : 876 pages
File Size : 47,6 Mb
Release : 2024-05-31
Category : Electronic
ISBN : 9783031339738

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by Anonim Pdf

Author : Roger Godement
Publisher : Springer
Page : 527 pages
File Size : 50,9 Mb
Release : 2015-04-30
Category : Mathematics
ISBN : 9783319169071

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Analysis IV by Roger Godement Pdf

Analysis Volume IV introduces the reader to functional analysis (integration, Hilbert spaces, harmonic analysis in group theory) and to the methods of the theory of modular functions (theta and L series, elliptic functions, use of the Lie algebra of SL2). As in volumes I to III, the inimitable style of the author is recognizable here too, not only because of his refusal to write in the compact style used nowadays in many textbooks. The first part (Integration), a wise combination of mathematics said to be `modern' and `classical', is universally useful whereas the second part leads the reader towards a very active and specialized field of research, with possibly broad generalizations.

Author : Jeffrey Adams,Bong Lian,Siddhartha Sahi
Publisher : American Mathematical Soc.
Page : 404 pages
File Size : 55,6 Mb
Release : 2011-11-07
Category : Mathematics
ISBN : 9780821852460

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Representation Theory and Mathematical Physics by Jeffrey Adams,Bong Lian,Siddhartha Sahi Pdf

This volume contains the proceedings of the conference on Representation Theory and Mathematical Physics, in honor of Gregg Zuckerman's 60th birthday, held October 24-27, 2009, at Yale University. Lie groups and their representations play a fundamental role in mathematics, in particular because of connections to geometry, topology, number theory, physics, combinatorics, and many other areas. Representation theory is one of the cornerstones of the Langlands program in number theory, dating to the 1970s. Zuckerman's work on derived functors, the translation principle, and coherent continuation lie at the heart of the modern theory of representations of Lie groups. One of the major unsolved problems in representation theory is that of the unitary dual. The fact that there is, in principle, a finite algorithm for computing the unitary dual relies heavily on Zuckerman's work. In recent years there has been a fruitful interplay between mathematics and physics, in geometric representation theory, string theory, and other areas. New developments on chiral algebras, representation theory of affine Kac-Moody algebras, and the geometric Langlands correspondence are some of the focal points of this volume. Recent developments in the geometric Langlands program point to exciting connections between certain automorphic representations and dual fibrations in geometric mirror symmetry.