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Author : Simon Gindikin
Publisher :
ISBN 13 : 9781461242635
Total Pages : 324 pages
Book Rating : 4.2/5 (426 download)
Download or read book Functional Analysis on the Eve of the 21st Century written by Simon Gindikin and published by . This book was released on 1995-11-01 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 : 9783764338558
Total Pages : 292 pages
Book Rating : 4.3/5 (385 download)
Download or read book Functional Analysis on the Eve of the 21st Century written by and published by . This book was released on 1995 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Simon Gindikin
Publisher : Birkhäuser
ISBN 13 : 9780817638603
Total Pages : 624 pages
Book Rating : 4.6/5 (386 download)
Download or read book Functional Analysis on the Eve of the 21st Century written by Simon Gindikin and published by Birkhäuser. This book was released on 1995-12-01 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: A four-day conference, "Functional Analysis on the Eve of the Twenty First Century," was held at Rutgers University, New Brunswick, New Jersey, from October 24 to 27, 1993, in honor of the eightieth birthday of Professor Israel Moiseyevich Gelfand. He was born in Krasnye Okna, near Odessa, on September 2, 1913. Israel Gelfand has played a crucial role in the development of functional analysis during the last half-century. His work and his philosophy have in fact helped to shape our understanding of the term "functional analysis" itself, as has the celebrated journal Functional Analysis and Its Applications, which he edited for many years. Functional analysis appeared at the beginning of the century in the classic papers of Hilbert on integral operators. Its crucial aspect was the geometric interpretation of families of functions as infinite-dimensional spaces, and of op erators (particularly differential and integral operators) as infinite-dimensional analogues of matrices, directly leading to the geometrization of spectral theory. This view of functional analysis as infinite-dimensional geometry organically included many facets of nineteenth-century classical analysis, such as power series, Fourier series and integrals, and other integral transforms.
Author :
Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.:/5 (9 download)
Download or read book Functional Analysis on the Eve of the 21st Century written by and published by . This book was released on 1995 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Simon Gindikin
Publisher : Springer Science & Business Media
ISBN 13 : 1461225825
Total Pages : 312 pages
Book Rating : 4.4/5 (612 download)
Download or read book Functional Analysis on the Eve of the 21st Century written by Simon Gindikin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: A four-day conference, "Functional Analysis on the Eve of the Twenty First Century," was held at Rutgers University, New Brunswick, New Jersey, from October 24 to 27, 1993, in honor of the eightieth birthday of Professor Israel Moiseyevich Gelfand. He was born in Krasnye Okna, near Odessa, on September 2, 1913. Israel Gelfand has played a crucial role in the development of functional analysis during the last half-century. His work and his philosophy have in fact helped to shape our understanding of the term "functional analysis" itself, as has the celebrated journal Functional Analysis and Its Applications, which he edited for many years. Functional analysis appeared at the beginning of the century in the classic papers of Hilbert on integral operators. Its crucial aspect was the geometric interpretation of families of functions as infinite-dimensional spaces, and of op erators (particularly differential and integral operators) as infinite-dimensional analogues of matrices, directly leading to the geometrization of spectral theory. This view of functional analysis as infinite-dimensional geometry organically included many facets of nineteenth-century classical analysis, such as power series, Fourier series and integrals, and other integral transforms.
Author : Simon Gindikin
Publisher : Springer Science & Business Media
ISBN 13 : 1461240980
Total Pages : 348 pages
Book Rating : 4.4/5 (612 download)
Download or read book Functional Analysis on the Eve of the 21st Century written by Simon Gindikin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes contain eighteen invited papers by distinguished mathematicians in honor of the eightieth birthday of Israel M. Gelfand, one of the most remarkable mathematicians of our time. Gelfand has played a crucial role in the development of functional analysis during the last half-century. His work and his philosophy have in fact helped shape our understanding of the term 'functional analysis'. The papers in these volumes largely concern areas in which Gelfand has a very strong interest today, including geometric quantum field theory, representation theory, combinatorial structures underlying various 'continuous' constructions, quantum groups and geometry.
Author : Simon Gindikin
Publisher :
ISBN 13 : 9781461225836
Total Pages : 324 pages
Book Rating : 4.2/5 (258 download)
Download or read book Functional Analysis on the Eve of the 21st Century written by Simon Gindikin and published by . This book was released on 2014-01-15 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Simon Gindikin
Publisher : Birkhäuser
ISBN 13 : 9780817638559
Total Pages : 328 pages
Book Rating : 4.6/5 (385 download)
Download or read book Functional Analysis on the Eve of the 21st Century written by Simon Gindikin and published by Birkhäuser. This book was released on 1995-12-01 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes contain eighteen invited papers by distinguished mathematicians in honor of the eightieth birthday of Israel M. Gelfand, one of the most remarkable mathematicians of our time. Gelfand has played a crucial role in the development of functional analysis during the last half-century. His work and his philosophy have in fact helped shape our understanding of the term 'functional analysis'. The papers in these volumes largely concern areas in which Gelfand has a very strong interest today, including geometric quantum field theory, representation theory, combinatorial structures underlying various 'continuous' constructions, quantum groups and geometry.
Author : Simon Gindikin
Publisher : Birkhäuser
ISBN 13 : 9780817638559
Total Pages : 328 pages
Book Rating : 4.6/5 (385 download)
Download or read book Functional Analysis on the Eve of the 21st Century written by Simon Gindikin and published by Birkhäuser. This book was released on 1995-12-01 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes contain eighteen invited papers by distinguished mathematicians in honor of the eightieth birthday of Israel M. Gelfand, one of the most remarkable mathematicians of our time. Gelfand has played a crucial role in the development of functional analysis during the last half-century. His work and his philosophy have in fact helped shape our understanding of the term 'functional analysis'. The papers in these volumes largely concern areas in which Gelfand has a very strong interest today, including geometric quantum field theory, representation theory, combinatorial structures underlying various 'continuous' constructions, quantum groups and geometry.
Author : Simon Gindikin
Publisher : Birkhäuser
ISBN 13 : 9780817637552
Total Pages : 296 pages
Book Rating : 4.6/5 (375 download)
Download or read book Functional Analysis on the Eve of the 21st Century written by Simon Gindikin and published by Birkhäuser. This book was released on 1995-11-01 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes contain eighteen invited papers by distinguished mathematicians in honor of the eightieth birthday of Israel M. Gelfand, one of the most remarkable mathematicians of our time. Gelfand has played a crucial role in the development of functional analysis during the last half-century. His work and his philosophy have in fact helped shape our understanding of the term 'functional analysis'. The papers in these volumes largely concern areas in which Gelfand has a very strong interest today, including geometric quantum field theory, representation theory, combinatorial structures underlying various 'continuous' constructions, quantum groups and geometry.
Author : Gerard Ben Arous
Publisher : World Scientific
ISBN 13 : 981279154X
Total Pages : 158 pages
Book Rating : 4.8/5 (127 download)
Download or read book Stochastic Analysis in Mathematical Physics written by Gerard Ben Arous and published by World Scientific. This book was released on 2008 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ideas and principles of stochastic analysis have managed to penetrate into various fields of pure and applied mathematics in the last 15 years; it is particularly true for mathematical physics. This volume provides a wide range of applications of stochastic analysis in fields as varied as statistical mechanics, hydrodynamics, Yang-Mills theory and spin-glass theory.The proper concept of stochastic dynamics relevant to each type of application is described in detail here. Altogether, these approaches illustrate the reasons why their dissemination in other fields is likely to accelerate in the years to come.
Author : Gerard Ben Arous
Publisher : World Scientific
ISBN 13 : 9814471879
Total Pages : 158 pages
Book Rating : 4.8/5 (144 download)
Download or read book Stochastic Analysis In Mathematical Physics - Proceedings Of A Satellite Conference Of Icm 2006 written by Gerard Ben Arous and published by World Scientific. This book was released on 2007-12-31 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ideas and principles of stochastic analysis have managed to penetrate into various fields of pure and applied mathematics in the last 15 years; it is particularly true for mathematical physics. This volume provides a wide range of applications of stochastic analysis in fields as varied as statistical mechanics, hydrodynamics, Yang-Mills theory and spin-glass theory.The proper concept of stochastic dynamics relevant to each type of application is described in detail here. Altogether, these approaches illustrate the reasons why their dissemination in other fields is likely to accelerate in the years to come./a
Author : Alberto Facchini
Publisher : Springer Science & Business Media
ISBN 13 : 9783764359089
Total Pages : 312 pages
Book Rating : 4.3/5 (59 download)
Download or read book Module Theory written by Alberto Facchini and published by Springer Science & Business Media. This book was released on 1998-06-16 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expository monograph was written for three reasons. Firstly, we wanted to present the solution to a problem posed by Wolfgang Krull in 1932 [Krull 32]. He asked whether what we now call the "Krull-Schmidt Theorem" holds for ar tinian modules. The problem remained open for 63 years: its solution, a negative answer to Krull's question, was published only in 1995 (see [Facchini, Herbera, Levy and Vamos]). Secondly, we wanted to present the answer to a question posed by Warfield in 1975 [Warfield 75]. He proved that every finitely pre sented module over a serial ring is a direct sum of uniserial modules, and asked if such a decomposition was unique. In other words, Warfield asked whether the "Krull-Schmidt Theorem" holds for serial modules. The solution to this problem, a negative answer again, appeared in [Facchini 96]. Thirdly, the so lution to Warfield's problem shows interesting behavior, a rare phenomenon in the history of Krull-Schmidt type theorems. Essentially, the Krull-Schmidt Theorem holds for some classes of modules and not for others. When it does hold, any two indecomposable decompositions are uniquely determined up to a permutation, and when it does not hold for a class of modules, this is proved via an example. For serial modules the Krull-Schmidt Theorem does not hold, but any two indecomposable decompositions are uniquely determined up to two permutations. We wanted to present such a phenomenon to a wider math ematical audience.
Author : Alan L. Carey
Publisher : European Mathematical Society
ISBN 13 : 9783037190081
Total Pages : 288 pages
Book Rating : 4.1/5 (9 download)
Download or read book Noncommutative Geometry and Physics written by Alan L. Carey and published by European Mathematical Society. This book was released on 2011 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of expository articles grew out of the workshop ``Number Theory and Physics'' held in March 2009 at The Erwin Schrodinger International Institute for Mathematical Physics, Vienna. The common theme of the articles is the influence of ideas from noncommutative geometry (NCG) on subjects ranging from number theory to Lie algebras, index theory, and mathematical physics. Matilde Marcolli's article gives a survey of relevant aspects of NCG in number theory, building on an introduction to motives for beginners by Jorge Plazas and Sujatha Ramdorai. A mildly unconventional view of index theory, from the viewpoint of NCG, is described in the article by Alan Carey, John Phillips, and Adam Rennie. As developed by Alain Connes and Dirk Kreimer, NCG also provides insight into novel algebraic structures underlying many analytic aspects of quantum field theory. Dominique Manchon's article on pre-Lie algebras fits into this developing research area. This interplay of algebraic and analytic techniques also appears in the articles by Christoph Bergbauer, who introduces renormalization theory and Feynman diagram methods, and Sylvie Paycha, who focuses on relations between renormalization and zeta function techniques.
Author : Helge Holden
Publisher : Springer Science & Business Media
ISBN 13 : 3642394493
Total Pages : 561 pages
Book Rating : 4.6/5 (423 download)
Download or read book The Abel Prize 2008-2012 written by Helge Holden and published by Springer Science & Business Media. This book was released on 2014-01-21 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the years 2008-2012, this book profiles the life and work of recent winners of the Abel Prize: · John G. Thompson and Jacques Tits, 2008 · Mikhail Gromov, 2009 · John T. Tate Jr., 2010 · John W. Milnor, 2011 · Endre Szemerédi, 2012. The profiles feature autobiographical information as well as a description of each mathematician's work. In addition, each profile contains a complete bibliography, a curriculum vitae, as well as photos — old and new. As an added feature, interviews with the Laureates are presented on an accompanying web site (http://extras.springer.com/). The book also presents a history of the Abel Prize written by the historian Kim Helsvig, and includes a facsimile of a letter from Niels Henrik Abel, which is transcribed, translated into English, and placed into historical perspective by Christian Skau. This book follows on The Abel Prize: 2003-2007, The First Five Years (Springer, 2010), which profiles the work of the first Abel Prize winners.
Author : Alan Huckleberry
Publisher : Springer Science & Business Media
ISBN 13 : 9783764366025
Total Pages : 394 pages
Book Rating : 4.3/5 (66 download)
Download or read book Infinite Dimensional Kähler Manifolds written by Alan Huckleberry and published by Springer Science & Business Media. This book was released on 2001-09-01 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinite dimensional manifolds, Lie groups and algebras arise naturally in many areas of mathematics and physics. Having been used mainly as a tool for the study of finite dimensional objects, the emphasis has changed and they are now frequently studied for their own independent interest. On the one hand this is a collection of closely related articles on infinite dimensional Kähler manifolds and associated group actions which grew out of a DMV-Seminar on the same subject. On the other hand it covers significantly more ground than was possible during the seminar in Oberwolfach and is in a certain sense intended as a systematic approach which ranges from the foundations of the subject to recent developments. It should be accessible to doctoral students and as well researchers coming from a wide range of areas. The initial chapters are devoted to a rather selfcontained introduction to group actions on complex and symplectic manifolds and to Borel-Weil theory in finite dimensions. These are followed by a treatment of the basics of infinite dimensional Lie groups, their actions and their representations. Finally, a number of more specialized and advanced topics are discussed, e.g., Borel-Weil theory for loop groups, aspects of the Virasoro algebra, (gauge) group actions and determinant bundles, and second quantization and the geometry of the infinite dimensional Grassmann manifold.
Author : Ana Hurtado
Publisher : Springer Nature
ISBN 13 : 3030552934
Total Pages : 121 pages
Book Rating : 4.0/5 (35 download)
Download or read book Global Riemannian Geometry: Curvature and Topology written by Ana Hurtado and published by Springer Nature. This book was released on 2020-08-19 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a clear exposition of two contemporary topics in modern differential geometry: distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature the application of the Lichnerowicz formula for Dirac operators to the study of Gromov's invariants to measure the K-theoretic size of a Riemannian manifold. It is intended for both graduate students and researchers.
