Analytic D Modules And Applications

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Analytic D Modules And Applications

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Author : Jan-Erik Björk
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Analytic D Modules And Applications written by Jan-Erik Björk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.

This is the first monograph to be published on analytic D-modules and it offers a complete and systematic treatment of the foundations together with a thorough discussion of such modern topics as the Riemann--Hilbert correspondence, Bernstein--Sata polynomials and a large variety of results concerning microdifferential analysis. Analytic D-module theory studies holomorphic differential systems on complex manifolds. It brings new insight and methods into many areas, such as infinite dimensional representations of Lie groups, asymptotic expansions of hypergeometric functions, intersection cohomology on Kahler manifolds and the calculus of residues in several complex variables. The book contains seven chapters and has an extensive appendix which is devoted to the most important tools which are used in D-module theory. This includes an account of sheaf theory in the context of derived categories, a detailed study of filtered non-commutative rings and homological algebra, and the basic material in symplectic geometry and stratifications on complex analytic sets. For graduate students and researchers.

Analytic D Modules And Applications

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Author : Jan-Erik Bjork
language : en
Publisher:
Release Date : 2014-01-15

Analytic D Modules And Applications written by Jan-Erik Bjork and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.

D Modules Perverse Sheaves And Representation Theory

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Author : Kiyoshi Takeuchi
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-12

D Modules Perverse Sheaves And Representation Theory written by Kiyoshi Takeuchi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-12 with Mathematics categories.

D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, representation theory.

The Heart Of Cohomology

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Author : Goro Kato
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-11-08

The Heart Of Cohomology written by Goro Kato and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-08 with Mathematics categories.

If you have not heard about cohomology, this book may be suited for you. Fundamental notions in cohomology for examples, functors, representable functors, Yoneda embedding, derived functors, spectral sequences, derived categories are explained in elementary fashion. Applications to sheaf cohomology are given. Also cohomological aspects of D-modules and of the computation of zeta functions of the Weierstrass family are provided.

D Modules And Microlocal Calculus

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Author : Masaki Kashiwara
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

D Modules And Microlocal Calculus written by Masaki Kashiwara and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

The original title of this work translated as "Foundation of Algebraic Analysis." Kashiwara (Kyoto U., Japan) changed the title to more precisely reflect the nature of the text's contents and to signal his belief that "the microlocal point of view helps concrete calculations, as powerfully as the Cauchy integral formula provides the values of many definite integrals." Chapters cover basic properties of D-modules, characteristic varieties, construction of D-modules, their functorial properties, regular holonomic systems, b-functions, ring of formal microdifferential operators, microlocal analysis of holonomic systems, and microlocal calculus of b-functions. Translated from the Japanese work Daisu Kaiseki Gairon (2000). Annotation copyrighted by Book News, Inc., Portland, OR

From Fourier Analysis And Number Theory To Radon Transforms And Geometry

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Author : Hershel M. Farkas
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-18

From Fourier Analysis And Number Theory To Radon Transforms And Geometry written by Hershel M. Farkas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-18 with Mathematics categories.

​​​A memorial conference for Leon Ehrenpreis was held at Temple University, November 15-16, 2010. In the spirit of Ehrenpreis’s contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide breadth of subjects that Ehrenpreis traversed in his career, including partial differential equations, combinatorics, number theory, complex analysis and a bit of applied mathematics. With the exception of one survey article, the papers in this volume are all new results in the various fields in which Ehrenpreis worked . There are papers in pure analysis, papers in number theory, papers in what may be called applied mathematics such as population biology and parallel refractors and papers in partial differential equations. The mature mathematician will find new mathematics and the advanced graduate student will find many new ideas to explore.​A biographical sketch of Leon Ehrenpreis by his daughter, a professional journalist, enhances the memorial tribute and gives the reader a glimpse into the life and career of a great mathematician.

Equivariant Analytic Localization Of Group Representations

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Author : Laura Ann Smithies
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Equivariant Analytic Localization Of Group Representations written by Laura Ann Smithies and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

This book is intended for graduate students and research mathematicians interested in topological groups, Lie groups, category theory, and homological algebra.

Analysis Geometry Number Theory The Mathematics Of Leon Ehrenpreis

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Author : Eric Grinberg
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Analysis Geometry Number Theory The Mathematics Of Leon Ehrenpreis written by Eric Grinberg and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

This book presents the proceedings from the conference honoring the work of Leon Ehrenpreis. Professor Ehrenpreis worked in many different areas of mathematics and found connections among all of them. For example, one can find his analytic ideas in the context of number theory, geometric thinking within analysis, transcendental number theory applied to partial differential equations, and more. The conference brought together the communities of mathematicians working in the areas of interest to Professor Ehrenpreis and allowed them to share the research inspired by his work. The collection of articles here presents current research on PDEs, several complex variables, analytic number theory, integral geometry, and tomography. The work of Professor Ehrenpreis has contributed to basic definitions in these areas and has motivated a wealth of research results. This volume offers a survey of the fundamental principles that unified the conference and influenced the mathematics of Leon Ehrenpreis.

Gr Bner Bases In Symbolic Analysis

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Author : Markus Rosenkranz
language : en
Publisher: Walter de Gruyter
Release Date : 2011-12-22

Gr Bner Bases In Symbolic Analysis written by Markus Rosenkranz and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-22 with Mathematics categories.

This volume contains survey articles and original research papers, presenting the state of the art on applying the symbolic approach of Gröbner bases and related methods to differential and difference equations. The contributions are based on talks delivered at the Special Semester on Gröbner Bases and Related Methods hosted by the Johann Radon Institute of Computational and Applied Mathematics, Linz, Austria, in May 2006.