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Harmonic Analysis, Group Representations, Automorphic Forms, and Invariant Theory

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Release : 2007
Genre : Mathematics
Kind : eBook
Book Rating : 798/5 ( reviews)

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Book Synopsis Harmonic Analysis, Group Representations, Automorphic Forms, and Invariant Theory by : Roger Howe

Download or read book Harmonic Analysis, Group Representations, Automorphic Forms, and Invariant Theory written by Roger Howe. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: This volume carries the same title as that of an international conference held at the National University of Singapore, 9OCo11 January 2006 on the occasion of Roger E. Howe''s 60th birthday. Authored by leading members of the Lie theory community, these contributions, expanded from invited lectures given at the conference, are a fitting tribute to the originality, depth and influence of Howe''s mathematical work. The range and diversity of the topics will appeal to a broad audience of research mathematicians and graduate students interested in symmetry and its profound applications. Sample Chapter(s). Foreword (21 KB). Chapter 1: The Theta Correspondence Over R (342 KB). Contents: The Theta Correspondence over R (J Adams); The Heisenberg Group, SL (3, R), and Rigidity (A iap et al.); Pfaffians and Strategies for Integer Choice Games (R Evans & N Wallach); When is an L -Function Non-Vanishing in Part of the Critical Strip? (S Gelbart); Cohomological Automorphic Forms on Unitary Groups, II: Period Relations and Values of L -Functions (M Harris); The Inversion Formula and Holomorphic Extension of the Minimal Representation of the Conformal Group (T Kobayashi & G Mano); Classification des S(r)ries Discr tes pour Certains Groupes Classiques p- Adiques (C Moeglin); Some Algebras of Essentially Compact Distributions of a Reductive p -Adic Group (A Moy & M Tadic); Annihilators of Generalized Verma Modules of the Scalar Type for Classical Lie Algebras (T Oshima); Branching to a Maximal Compact Subgroup (D A Vogan, Jr.); Small Semisimple Subalgebras of Semisimple Lie Algebras (J F Willenbring & G J Zuckerman). Readership: Graduate students and research mathematicians in harmonic analysis, group representations, automorphic forms and invariant theory."

Selected Papers on Harmonic Analysis, Groups, and Invariants

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Release : 1997
Genre : Mathematics
Kind : eBook
Book Rating : 405/5 ( reviews)

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Book Synopsis Selected Papers on Harmonic Analysis, Groups, and Invariants by : Katsumi Nomizu

Download or read book Selected Papers on Harmonic Analysis, Groups, and Invariants written by Katsumi Nomizu. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: The five papers originally appeared in Japanese in the journal Sugaku and would ordinarily appear in the Society's translation of that journal, but are published separately here to expedite their dissemination. They explore such aspects as representation theory, differential geometry, invariant theory, and complex analysis. No index. Member prices are $47 for institutions and $35 for individual. Annotation copyrighted by Book News, Inc., Portland, OR.

Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees

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Release : 1991-06-28
Genre : Mathematics
Kind : eBook
Book Rating : 445/5 ( reviews)

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Book Synopsis Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees by : Alessandro Figá-Talamanca

Download or read book Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees written by Alessandro Figá-Talamanca. This book was released on 1991-06-28. Available in PDF, EPUB and Kindle. Book excerpt: These notes treat in full detail the theory of representations of the group of automorphisms of a homogeneous tree. The unitary irreducible representations are classified in three types: a continuous series of spherical representations; two special representations; and a countable series of cuspidal representations as defined by G.I. Ol'shiankii. Several notable subgroups of the full automorphism group are also considered. The theory of spherical functions as eigenvalues of a Laplace (or Hecke) operator on the tree is used to introduce spherical representations and their restrictions to discrete subgroups. This will be an excellent companion for all researchers into harmonic analysis or representation theory.

Representation Theory and Automorphic Forms

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Release : 1997
Genre : Mathematics
Kind : eBook
Book Rating : 092/5 ( reviews)

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Book Synopsis Representation Theory and Automorphic Forms by : T. N. Bailey

Download or read book Representation Theory and Automorphic Forms written by T. N. Bailey. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: The lectures from a course in the representation theory of semi- simple groups, automorphic forms, and the relations between them. The purpose is to help analysts make systematic use of Lie groups in work on harmonic analysis, differential equations, and mathematical physics; and to provide number theorists with the representation-theoretic input to Wiles's proof of Fermat's Last Theorem. Begins with an introductory treatment of structure theory and ends with the current status of functionality. Annotation copyrighted by Book News, Inc., Portland, OR

Representation Theory, Complex Analysis, and Integral Geometry

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Release : 2011-12-14
Genre : Mathematics
Kind : eBook
Book Rating : 178/5 ( reviews)

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Book Synopsis Representation Theory, Complex Analysis, and Integral Geometry by : Bernhard Krötz

Download or read book Representation Theory, Complex Analysis, and Integral Geometry written by Bernhard Krötz. This book was released on 2011-12-14. Available in PDF, EPUB and Kindle. Book excerpt: This volume targets graduate students and researchers in the fields of representation theory, automorphic forms, Hecke algebras, harmonic analysis, number theory.

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