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Modern Analysis of Automorphic Forms By Example 2 Hardback Book Set, Paul Garrett


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Автор: Paul Garrett
Название:  Modern Analysis of Automorphic Forms By Example 2 Hardback Book Set
ISBN: 9781108697934
Издательство: Cambridge Academ
Классификация:
ISBN-10: 1108697933
Обложка/Формат: Mixed media product
Страницы: 860
Вес: 1.31 кг.
Дата издания: 20.09.2018
Серия: Cambridge studies in advanced mathematics
Язык: English
Иллюстрации: Worked examples or exercises; 00 printed music items; 00 tables, unspecified; 00 tables, color; 00 tables, black and white; 00 plates, unspecified; 00 plates, color; 00 plates, black and white; 00 maps; 00 halftones, unspecified; 00 halftones, color;
Размер: 165 x 240 x 53
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Number theory, MATHEMATICS / Number Theory
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание: This two-volume book provides a self-contained introduction to the theory and application of automorphic forms, using examples to illustrate several critical analytical concepts surrounding and supporting the theory of automorphic forms. The featured critical results, which are proven carefully and in detail, include: discrete decomposition of cuspforms, meromorphic continuation of Eisenstein series, spectral decomposition of pseudo-Eisenstein series, and automorphic Plancherel theorem in Volume 1; and automorphic Greens functions, metrics and topologies on natural function spaces, unbounded operators, vector-valued integrals, vector-valued holomorphic functions, and asymptotics in Volume 2. The book treats three instances, starting with some small unimodular examples, followed by adelic GL2, and finally GLn. With numerous proofs and extensive examples, this classroom-tested introductory text is meant for a second-year or advanced graduate course in automorphic forms, and also as a resource for researchers working in automorphic forms, analytic number theory, and related fields.

Cohomology of Arithmetic Groups and Automorphic Forms

Автор: Jean-Pierre Labesse; Joachim Schwermer
Название: Cohomology of Arithmetic Groups and Automorphic Forms
ISBN: 3540534229 ISBN-13(EAN): 9783540534228
Издательство: Springer
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Цена: 37220.00 T
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Описание: Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp. the geometry of locally symmetric spaces.

Advances in the Theory of Automorphic Forms and Their $L$-functions

Автор: Dihua Jiang, Freydoon Shahidi, David Soudry
Название: Advances in the Theory of Automorphic Forms and Their $L$-functions
ISBN: 147041709X ISBN-13(EAN): 9781470417093
Издательство: Mare Nostrum (Eurospan)
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Цена: 108110.00 T
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Описание: This volume contains the proceedings of the workshop on ``Advances in the Theory of Automorphic Forms and Their $L$-functions'' held in honor of James Cogdell's 60th birthday, held from October 16-25, 2013, at the Erwin Schrodinger Institute (ESI) at the University of Vienna.The workshop and the papers contributed to this volume circle around such topics as the theory of automorphic forms and their $L$-functions, geometry and number theory, covering some of the recent approaches and advances to these subjects. Specifically, the papers cover aspects of representation theory of $p$-adic groups, classification of automorphic representations through their Fourier coefficients and their liftings, $L$-functions for classical groups, special values of $L$-functions, Howe duality, subconvexity for $L$-functions, Kloosterman integrals, arithmetic geometry and cohomology of arithmetic groups, and other important problems on $L$-functions, nodal sets and geometry.

Automorphic Forms and Galois Representations

Автор: Diamond
Название: Automorphic Forms and Galois Representations
ISBN: 1107693632 ISBN-13(EAN): 9781107693630
Издательство: Cambridge Academ
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Цена: 61240.00 T
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Описание: This collection, the second of two volumes arising from an LMS-EPSRC Durham Symposium, explores the importance of automorphic forms and Galois representations in number theory. The expository articles and research papers within cover recent progress in anabelian geometry, p-adic Hodge theory, the Langlands program, and p-adic methods in number theory.

Holomorphic Automorphic Forms and Cohomology

Автор: Roelof Bruggeman, Youngju Choie, Nikolaos Diamantis
Название: Holomorphic Automorphic Forms and Cohomology
ISBN: 1470428555 ISBN-13(EAN): 9781470428556
Издательство: Mare Nostrum (Eurospan)
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Цена: 77610.00 T
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Описание: Investigates the correspondence between holomorphic automorphic forms on the upper half-plane with complex weight and parabolic cocycles. For integral weights at least $2$ this correspondence is given by the Eichler integral. The authors use Knopp`s generalization of this integral to real weights, and apply it to complex weights that are not an integer at least $2$.

Modern analysis of automorphic forms by example 2 hardback book set modern analysis of automorphic forms by example: series number 174

Автор: Garrett, Paul (university Of Minnesota)
Название: Modern analysis of automorphic forms by example 2 hardback book set modern analysis of automorphic forms by example: series number 174
ISBN: 1107154006 ISBN-13(EAN): 9781107154001
Издательство: Cambridge Academ
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Цена: 70740.00 T
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Описание: This is Volume 1 of a two-volume book that provides a self-contained introduction to the analytical aspects of automorphic forms by proving several critical results carefully and in detail. With extensive examples, it will be useful for graduate students and researchers in automorphic forms, number theory, and other related fields.

Modern analysis of automorphic forms by example 2 hardback book set modern analysis of automorphic forms by example: series number 174

Автор: Garrett, Paul (university Of Minnesota)
Название: Modern analysis of automorphic forms by example 2 hardback book set modern analysis of automorphic forms by example: series number 174
ISBN: 1108473849 ISBN-13(EAN): 9781108473842
Издательство: Cambridge Academ
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Цена: 70740.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is Volume 2 of a two-volume book that provides a self-contained introduction to the analytical aspects of automorphic forms by proving several critical results carefully and in detail. With extensive examples, it will be useful for graduate students and researchers in automorphic forms, number theory, and other related fields.

Automorphic Forms and L-Functions for the Group GL(n,R)

Автор: Goldfeld
Название: Automorphic Forms and L-Functions for the Group GL(n,R)
ISBN: 1107565022 ISBN-13(EAN): 9781107565029
Издательство: Cambridge Academ
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Цена: 60190.00 T
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Описание: L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with basic knowledge of classical analysis, complex variable theory, and algebra.

Automorphic Pseudodifferential Analysis and Higher Level Weyl Calculi

Автор: Andr? Unterberger
Название: Automorphic Pseudodifferential Analysis and Higher Level Weyl Calculi
ISBN: 3034896417 ISBN-13(EAN): 9783034896412
Издательство: Springer
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Цена: 46570.00 T
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Families of Automorphic Forms and the Trace Formula

Автор: M?ller
Название: Families of Automorphic Forms and the Trace Formula
ISBN: 3319414224 ISBN-13(EAN): 9783319414225
Издательство: Springer
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Цена: 153720.00 T
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Описание:

Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory.
Each peer-reviewed submission in this volume, based on the Simons Foundation symposium on families of automorphic forms and the trace formula held in Puerto Rico in January-February 2014, is the product of intensive research collaboration by the participants over the course of the seven-day workshop. The goal of each session in the symposium was to bring together researchers with diverse specialties in order to identify key difficulties as well as fruitful approaches being explored in the field. The respective themes were counting cohomological forms, p-adic trace formulas, Hecke fields, slopes of modular forms, and orbital integrals.

Conformal Field Theory, Automorphic Forms and Related Topics

Автор: Winfried Kohnen; Rainer Weissauer
Название: Conformal Field Theory, Automorphic Forms and Related Topics
ISBN: 3662512505 ISBN-13(EAN): 9783662512500
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book, part of the series Contributions in Mathematical and Computational Sciences, reviews recent developments in the theory of vertex operator algebras (VOAs) and their applications to mathematics and physics.The mathematical theory of VOAs originated from the famous monstrous moonshine conjectures of J.H.

Automorphic Forms and Even Unimodular Lattices

Название: Automorphic Forms and Even Unimodular Lattices
ISBN: 3319958909 ISBN-13(EAN): 9783319958903
Издательство: Springer
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Цена: 130430.00 T
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Описание: This book includes a self-contained approach of the general theory of quadratic forms and integral Euclidean lattices, as well as a presentation of the theory of automorphic forms and Langlands' conjectures, ranging from the first definitions to the recent and deep classification results due to James Arthur.Its connecting thread is a question about lattices of rank 24: the problem of p-neighborhoods between Niemeier lattices. This question, whose expression is quite elementary, is in fact very natural from the automorphic point of view, and turns out to be surprisingly intriguing. We explain how the new advances in the Langlands program mentioned above pave the way for a solution. This study proves to be very rich, leading us to classical themes such as theta series, Siegel modular forms, the triality principle, L-functions and congruences between Galois representations.This monograph is intended for any mathematician with an interest in Euclidean lattices, automorphic forms or number theory. A large part of it is meant to be accessible to non-specialists.

P-adic automorphic forms on shimura varieties

Автор: Hida, Haruzo
Название: P-adic automorphic forms on shimura varieties
ISBN: 1441919236 ISBN-13(EAN): 9781441919236
Издательство: Springer
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Цена: 153720.00 T
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Описание: In the early years of the 1980s, while I was visiting the Institute for Ad- vanced Study (lAS) at Princeton as a postdoctoral member, I got a fascinating view, studying congruence modulo a prime among elliptic modular forms, that an automorphic L-function of a given algebraic group G should have a canon- ical p-adic counterpart of several variables. I immediately decided to find out the reason behind this phenomenon and to develop the theory of ordinary p-adic automorphic forms, allocating 10 to 15 years from that point, putting off the intended arithmetic study of Shimura varieties via L-functions and Eisenstein series (for which I visited lAS). Although it took more than 15 years, we now know (at least conjecturally) the exact number of variables for a given G, and it has been shown that this is a universal phenomenon valid for holomorphic automorphic forms on Shimura varieties and also for more general (nonholomorphic) cohomological automorphic forms on automorphic manifolds (in a markedly different way). When I was asked to give a series of lectures in the Automorphic Semester in the year 2000 at the Emile Borel Center (Centre Emile Borel) at the Poincare Institute in Paris, I chose to give an exposition of the theory of p-adic (ordinary) families of such automorphic forms p-adic analytically de- pending on their weights, and this book is the outgrowth of the lectures given there.


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