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Geometric Aspects of the Trace Formula, M?ller


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Автор: M?ller
Название:  Geometric Aspects of the Trace Formula
ISBN: 9783319948324
Издательство: Springer
Классификация:

ISBN-10: 3319948326
Обложка/Формат: Hardcover
Страницы: 408
Вес: 0.82 кг.
Дата издания: 2018
Серия: Simons Symposia
Язык: English
Издание: 2018 ed.
Иллюстрации: Bibliography; 11 illustrations, black and white
Размер: 234 x 156 x 25
Читательская аудитория: General (us: trade)
Основная тема: Number Theory
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Based on research presented at the 2016 Simons Symposium on Geometric Aspects of the Trace Formula that took place in Schloss Elmau, Germany, the volume contains both original research articles and articles that synthesize current knowledge and future directions in the field.

On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2

Автор: Werner Hoffmann, Satoshi Wakatsuki
Название: On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2
ISBN: 1470431025 ISBN-13(EAN): 9781470431020
Издательство: Mare Nostrum (Eurospan)
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Цена: 77610.00 T
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Описание: Studies the non-semisimple terms in the geometric side of the Arthur trace formula for the split symplectic similitude group and the split symplectic group of rank $2$ over any algebraic number field.

A Local Relative Trace Formula for the Ginzburg-Rallis Model: The Geometric Side

Автор: Chen Wan
Название: A Local Relative Trace Formula for the Ginzburg-Rallis Model: The Geometric Side
ISBN: 1470436868 ISBN-13(EAN): 9781470436865
Издательство: Mare Nostrum (Eurospan)
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Цена: 83160.00 T
Наличие на складе: Нет в наличии.
Описание: Following the method developed by Waldspurger and Beuzart-Plessis in their proofs of the local Gan-Gross-Prasad conjecture, the author is able to prove the geometric side of a local relative trace formula for the Ginzburg-Rallis model.

Analytic, Algebraic and Geometric Aspects of Differential Equations

Автор: Galina Filipuk; Yoshishige Haraoka; S?awomir Micha
Название: Analytic, Algebraic and Geometric Aspects of Differential Equations
ISBN: 3319528416 ISBN-13(EAN): 9783319528410
Издательство: Springer
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Цена: 149060.00 T
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Описание: Preface.- An introduction to Dunkl theory and its analytic aspects.- Holonomic Systems.- Sub-Riemannian geometry and hypoelliptic operators.- Asymptotic analysis and summability of formal power series.- WKB analysis and Stokes geometry of differential equations.- Transcendental Meromorphic Solutions of P34and Small Targets.- Towards the convergence of generalized power series solutions of algebraic ODEs.- Connection problem for regular holonomic systems in several variables.- On k-summability of formal solutions for certain higher order partial differential operators with polynomial coefficients.- On Stokes phenomena for the alternate discrete PI equation.- Flat structures and algebraic solutions toPainlevй VI equation.- Relation of Semi-classical orthogonal polynomials to General Schlesinger systems via Twistor theory.- Some notes on the multi-level Gevrey solutions of singularly perturbed linear partial differential equations.- Reducibility of hypergeometric equations.- Parametric Borel summability of partial differential equations of irregular singular type.

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.

Arthur`s Invariant Trace Formula and Comparison of Inner Forms

Автор: Flicker
Название: Arthur`s Invariant Trace Formula and Comparison of Inner Forms
ISBN: 3319315919 ISBN-13(EAN): 9783319315911
Издательство: Springer
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Цена: 101550.00 T
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Описание: This monograph provides an accessible and comprehensive introduction to James Arthur’s invariant trace formula, a crucial tool in the theory of automorphic representations. It synthesizes two decades of Arthur’s research and writing into one volume, treating a highly detailed and often difficult subject in a clearer and more uniform manner without sacrificing any technical details.

The book begins with a brief overview of Arthur’s work and a proof of the correspondence between GL(n) and its inner forms in general. Subsequent chapters develop the invariant trace formula in a form fit for applications, starting with Arthur’s proof of the basic, non-invariant trace formula, followed by a study of the non-invariance of the terms in the basic trace formula, and, finally, an in-depth look at the development of the invariant formula. The final chapter illustrates the use of the formula by comparing it for G’ = GL(n) and its inner form G< and for functions with matching orbital integrals.
Arthur’s Invariant Trace Formula and Comparison of Inner Forms will appeal to advanced graduate students, researchers, and others interested in automorphic forms and trace formulae. Additionally, it can be used as a supplemental text in graduate courses on representation theory.

Local Analysis of Selberg`s Trace Formula

Автор: A. Good
Название: Local Analysis of Selberg`s Trace Formula
ISBN: 3540127135 ISBN-13(EAN): 9783540127130
Издательство: Springer
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Цена: 23280.00 T
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The Selberg Trace Formula for PSL (2,R)

Автор: Dennis A. Hejhal
Название: The Selberg Trace Formula for PSL (2,R)
ISBN: 3540079882 ISBN-13(EAN): 9783540079880
Издательство: Springer
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Цена: 25110.00 T
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An Approach to the Selberg Trace Formula via the Selberg Zeta-Function

Автор: J?rgen Fischer
Название: An Approach to the Selberg Trace Formula via the Selberg Zeta-Function
ISBN: 3540152083 ISBN-13(EAN): 9783540152088
Издательство: Springer
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Цена: 23250.00 T
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Описание: Finally the general Selberg trace formula is deduced easily from the properties of the Selberg zeta-function: this is similar to the procedure in analytic number theory where the explicit formulae are deduced from the properties of the Riemann zeta-function.

The Selberg-Arthur Trace Formula

Автор: Salahoddin Shokranian
Название: The Selberg-Arthur Trace Formula
ISBN: 3540550216 ISBN-13(EAN): 9783540550211
Издательство: Springer
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Цена: 23250.00 T
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Описание: This book based on lectures given by James Arthur discussesthe trace formula of Selberg and Arthur. The emphasis islaid on Arthur`s trace formula for GL(r), with severalexamples in order to illustrate the basic concepts. Orbital integrals andSelberg`s trace formula, 2.3.Three examples, 2.4.

Hidden Harmony—Geometric Fantasies

Автор: Umberto Bottazzini; Jeremy Gray
Название: Hidden Harmony—Geometric Fantasies
ISBN: 1493946110 ISBN-13(EAN): 9781493946112
Издательство: Springer
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Цена: 130430.00 T
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Описание: This book details the history of complex function theory. It examines the rise of elliptic function theory, differential equations in the complex domain, geometric function theory, and the early years of complex function theory in several variables.

Geometric and Harmonic Analysis on Homogeneous Spaces and Applications

Автор: Ali Baklouti; Takaaki Nomura
Название: Geometric and Harmonic Analysis on Homogeneous Spaces and Applications
ISBN: 3319651803 ISBN-13(EAN): 9783319651804
Издательство: Springer
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Цена: 102480.00 T
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Описание: It also includes the most recent developments on other areas of mathematics including algebra and geometry.Lie group representation theory and harmonic analysis on Lie groups and on their homogeneous spaces form a significant and important area of mathematical research.

Geometric discrepancy

Автор: Matousek, Jiri
Название: Geometric discrepancy
ISBN: 3642039413 ISBN-13(EAN): 9783642039416
Издательство: Springer
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Цена: 102480.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: What is the "most uniform" way of distributing n points in the unit square? This book is an accessible and lively introduction to the area of geometric discrepancy theory, with numerous exercises and illustrations. In separate, more specialized parts, it also provides a comprehensive guide to recent research.


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