Last edited by Dot
Friday, May 22, 2020 | History

8 edition of Spectral decomposition and Eisenstein series found in the catalog.

Spectral decomposition and Eisenstein series

by Colette Moeglin

Written in English

Subjects:
• Eisenstein series.,
• Automorphic forms.,
• Spectral theory (Mathematics),
• Decomposition (Mathematics)

• Edition Notes

Includes bibliographical references (p. [334]-336) and index.

Classifications The Physical Object Statement C. Moeglin, J.-L. Waldspurger. Series Cambridge tracts in mathematics ;, 113 Contributions Waldspurger, Jean-Loup, 1953- LC Classifications QA295 .M62 1995 Pagination xxvii, 338 p. : Number of Pages 338 Open Library OL1087439M ISBN 10 0521418933 LC Control Number 94011429

Publisher Summary. This chapter discusses the spherical functions of type χ on a Riemannian symmetric space. The theory of spherical functions (corresponding to the trivial K-type) is a beautiful part of harmonic analysis going back to the work of Gel'fand, Godement (for the abstract setting), and Harish-Chandra (in the concrete setting for a Riemannian symmetric space). Eisenstein Series: Definition and convergence of Eisenstein series; Analytic continuation of the Eisenstein series; Eisenstein series and automorphic forms orthogonal to cusp forms; Part IV. Spectral Decomposition and Representations: Spectral decomposition of L2(G\G)m with respect to C; Generalities on representations of G; Price: $"The two-volume book treats three instances, starting with some small unimodular examples, followed by adelic GL2, and finally GLn. Volume 1 features critical results, which are proven carefully and in detail, including discrete decomposition of cuspforms, meromorphic continuation of Eisenstein series, spectral decomposition of pseudo-Eisenstein series, and automorphic Plancherel theorem. The Riemann zeta function is one of the most studied objects in mathematics, and is of fundamental importance. In this book, based on his own research, Professor Motohashi shows that the function is closely bound with automorphic forms and that many results from there can be woven with techniques and ideas from analytic number theory to yield new insights into, and views of, the zeta function. where L o 2 (Γ\G) is the space of cusp forms and is discrete, L sp 2 (Γ\G) is the discrete part of $${\left({L_o^2} \right)^\bot }$$, given by residues of Eisenstein series, and L cont 2 is the continuous part of the spectrum, given by integrals of Eisenstein series. If φ is a function of compact support or of sufficiently rapid decay on G, then convolution with φ defines an Cited by: Eisenstein. Eisenstein Selected Works In Six Volumes. - Russian Book.$

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Spectral decomposition and Eisenstein series by Colette Moeglin Download PDF EPUB FB2

To make the book reasonably self-contained, the authors also provide essential background in subjects such as: automorphic forms; Eisenstein series; Eisenstein pseudo-series, and their properties. It is thus also an introduction, suitable for graduate students, to the theory of automorphic forms, the first written using contemporary by: The decomposition of the space L2 (G(Q)\G(A)), where G is a reductive group defined over Q and A is the ring of adeles of Q, is a deep problem at the intersection of number and group theory.

Langlands reduced this decomposition to that of the (smaller) spaces of cuspidal automorphic forms for Cited by: Spectral Decomposition and Eisenstein Series: A Paraphrase of the Scriptures (Cambridge Tracts in Mathematics) 1st Edition by C.

Moeglin (Author), J. Waldspurger (Author), Leila Schneps (Translator) & ISBN ISBN Cited by:   Spectral Decomposition and Eisenstein Series by C. Moeglin,available at Book Depository with free delivery worldwide.

Spectral Decomposition and Eisenstein Series A Paraphrase of the Scriptures by Moeglin, C. & J. Waldspurger; Schneps, Leila and a great selection of related books. these Eisenstein series to two further and intimately related problems: describing (1) the complete discrete spectra of arithmetic quotients Γ\G where G is a reductive group and Γ an arithmetic subgroup; (2) the complete spectral decomposition of L 2 (Γ\G) in terms of.

Get this from a library. Spectral decomposition and Eisenstein series: une paraphrase de l'écriture. [Colette Moeglin; Jean-Loup Waldspurger] -- The decomposition of the space L[superscript 2] (G(Q)\G(A)), where G is a reductive group defined over Q and A is the ring of adeles of Q, is a deep problem at the intersection of number and group.

Modern analysis of automorphic forms by examples Paul Garrett version Aug c Paul Garrett This is a prepublication version of a book to be published by Cambridge University Press, Per contractual agreement, I can keep a PDF copy on-line (especially for corrections and updates), and.

Journal of the London Mathematical Society; Bulletin of the London Mathematical Society. Vol Issue 5. Book reviews. SPECTRAL DECOMPOSITION AND EISENSTEIN SERIES (Cambridge Tracts in Mathematics ) Lawrence Morris. Clark University, Worcester, MA. Search for more papers by this by: Get this from a library.

Spectral decomposition and Eisenstein series: une paraphrase de l'écriture. [Colette Moeglin; Jean-Loup Waldspurger; Cambridge University Press.] -- The decomposition of the space L2(G(Q)\"G(A)), where G is a reductive group defined over Q and A is the ring of adeles of Q, is a deep problem at the intersection of number and group theory.

To make the book reasonably self-contained, the authors also provide essential background in subjects such as: automorphic forms; Eisenstein series; Eisenstein pseudo-series, and their properties. It is thus also an introduction, suitable for graduate students, to the theory of automorphic forms, the first written using contemporary terminology.

Book reviews. SPECTRAL DECOMPOSITION AND EISENSTEIN SERIES (Cambridge Tracts in Mathematics ) Lawrence Morris. Clark University, Worcester, MA. Search for more papers by this author. Lawrence Morris. Clark University, Worcester, MA. Search for more papers by this author.

First published: 23 December Cited by: May 4, - Download the Book:Spectral Decomposition And Eisenstein Series: A Paraphrase Of The Scriptures PDF For Free, Preface: The decomposition of the space L2. Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share.

The decomposition of the space L2 (G(Q)\\G(/A)), where G is a reductive group defined over (Q and /A is the ring of adeles of (Q, is a deep problem at the intersection of number and group theory.

Langlands reduced this decomposition to that of the (smaller) spaces of cuspidal automorphic forms for certain subgroups of G. The present book describes. Series on Number Theory and Its Applications Arithmetic Geometry and Number Theory, pp.

() No Access Automorphic Forms, Eisenstein Series and Spectral Decompositions Lin WENG. As the Eisenstein series is very central to all things automorphic from Langlands-Shahidi, Rankin-Selberg integrals, the spectral decomposition as well as the many arithmetic applications, I find it disturbing when the properties of the series are referred to as a massive black box.

The two-volume book treats three instances, starting with some small unimodular examples, followed by adelic GL2, and finally GLn. Volume 1 features critical results, which are proven carefully and in detail, including discrete decomposition of cuspforms, meromorphic continuation of Eisenstein series, spectral decomposition of pseudo-Eisenstein Cited by: 3.

This is a draft version of an invited article for a forthcoming book The genesis of Langlands Program', eds.

Julia Mueller and Freydoon Shahidi, which will be published by Cambridge University Press. This is a survey of Langlands spectral decomposition theorem based on the meromorphic continuation of Eisenstein series and intertwining operators that show up in their functional : Jean-Pierre Labesse. 6 Eisenstein Series, the Trace Formula, and the Modern Theory of Automorphic Forms R.

LANGLANDS 1. Eisenstein Series and Automorphic L-functions The modern theory of automorphic forms is a response to many different impulses and influences, above all the work of Hecke, but also class-field theory and the study of quadratic forms, the theory of representations of reductive groups, and of Cited by: 8.

This is a draft version of an invited article for a forthcoming book The genesis of Langlands Program', eds. Julia Mueller and Freydoon Shahidi, which will be published by Cambridge University Press.

This is a survey of Langlands spectral decomposition theorem based on the meromorphic continuation of Eisenstein series and intertwining operators that show up in their Author: Jean-Pierre Labesse.C. Moeglin and J.-L. Waldspurger, Décomposition Spectrale et Séries d’Eisenstein, Birkhäuser, Basel, (in French); Spectral Decomposition and Eisenstein Series, Cambridge University Press, Cambridge, UK, (in English).

Google ScholarCited by: 4.Since the hyperbolic Eisenstein series are in L 2 (M), the expression (1) admits a spectral expansion which involves the parabolic Eisenstein series; see [JKvP10] and [KM79].

If one considers a.