Harmonic Analysis, Group Representations, Automorphic Forms and Invariant Theory : In Honor of Roger E Howe.

This volume carries the same title as that of an international conference held at the National University of Singapore, 9-11 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 lecture...

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Bibliographic Details
Main Author: Li, Jian-Shu
Other Authors: Tan, Eng-Chye, Wallach, Nolan, Zhu, Chen-Bo
Format: eBook
Language:English
Published: Singapore : World Scientific Publishing Company, 2007.
Series:Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore.
Subjects:
Online Access:Click for online access

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100 1 |a Li, Jian-Shu. 
245 1 0 |a Harmonic Analysis, Group Representations, Automorphic Forms and Invariant Theory :  |b In Honor of Roger E Howe. 
260 |a Singapore :  |b World Scientific Publishing Company,  |c 2007. 
300 |a 1 online resource (448 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore 
588 0 |a Print version record. 
520 |a This volume carries the same title as that of an international conference held at the National University of Singapore, 9-11 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. 
504 |a Includes bibliographical references. 
505 0 |a Foreword; Preface; The Theta Correspondence over R Jeffrey Adams; 1. Introduction; 2. Fock Model: Complex Lie Algebra; 3. Schrodinger Model; 4. Fock Model: Real Lie Algebra; 5. Duality; 6. Compact Dual Pairs; 7. Joint Harmonics; 8. Induction Principle; 9. Examples; References; The Heisenberg Group, SL(3; R), and Rigidity Andreas Cap, Michael G. Cowling, Filippo De Mari, Michael Eastwood and Rupert McCallum; 1. Introduction; 2. An Example; 3. Related Questions in Two Dimensions; 4. Proof of Theorem 2.1; 5. Final Remarks; References. 
505 8 |a Pfafflans and Strategies for Integer Choice Games Ron Evans and Nolan Wallach1. Introduction; 2. Strategies for the Multivariate Game; 3. Strategies for the Single Variable Game; 4. Strategies for Some Constricted Multivariate Games; 5. Appendix: Pfa ans Associated with Payo Matrices; References; When is an L-Function Non-Vanishing in Part of the Critical Strip? Stephen Gelbart; Introduction; 1. The Classical Method; 2. The Rankin-Selberg Generalization of de la Vall ee Poussin; 3. An Approach Using Eisenstein Series on SL(2; R); 4. The General Method; References. 
505 8 |a Cohomological Automorphic Forms on Unitary Groups, II: Period Relations and Values of L-Functions Michael HarrisIntroduction; Errors and Misprints in [H4]; 0. Preliminary Notation; 1. Eisenstein Series on Unitary Similitude Groups; 2. The Local Theta Correspondence; Appendix. Generic Calculation of the Unrami ed Correspondence; 3. Applications to Special Values of L-Functions; 4. Applications to Period Relations; The Inversion Formula and Holomorphic Extension of the Minimal Representation of the Conformal Group Toshiyuki Kobayashi and Gen Mano; Contents; 1. Introduction. 
505 8 |a 1.1. Semigroup generated by a differential operator D1.2. Comparison with the Hermite operator D; 1.3. The action of SL(2; R) O(m); 1.4. Minimal representation as hidden symmetry; 2. Preliminary Results on the Minimal Representation of O(m + 1; 2); 2.1. Maximal parabolic subgroup of the conformal group; 2.2. L2-model of the minimal representation; 2.3. K-type decomposition; 2.4. Infinitesimal action of the minimal representation; 3. Branching Law of +; 3.1. Schr odinger model of the minimal representation; 3.2. K- nite functions on the forward light cone C+ 
505 8 |a 3.3. Description of in nitesimal generators of sl(2R); 3.4. Central element Z of kC; 3.5. Proof of Proposition 3.2.1; 3.6. One parameter holomorphic semigroup (etZ); 4. Radial Part of the Semigroup; 4.1. Result of the section; 4.2. Upper estimate of the kernel function; 4.3. Proof of Theorem 4.1.1 (Case Re t> 0); 4.4. Proof of Theorem 4.1.1 (Case Re t = 0); 4.5. Weber's second exponential integral formula; 4.6. Dirac sequence operators; 5. Integral Formula for the Semigroup; 5.1. Result of the section; 5.2. Upper estimates of the kernel function. 
650 0 |a Automorphic forms  |v Congresses. 
650 0 |a Harmonic analysis  |v Congresses. 
650 0 |a Representations of groups  |v Congresses. 
650 0 |a Symmetry (Mathematics)  |v Congresses. 
650 7 |a Automorphic forms  |2 fast 
650 7 |a Harmonic analysis  |2 fast 
650 7 |a Representations of groups  |2 fast 
650 7 |a Symmetry (Mathematics)  |2 fast 
655 7 |a Conference papers and proceedings  |2 fast 
700 1 |a Tan, Eng-Chye. 
700 1 |a Wallach, Nolan. 
700 1 |a Zhu, Chen-Bo. 
776 0 8 |i Print version:  |z 9789812770783 
830 0 |a Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore. 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=1679387  |y Click for online access 
903 |a EBC-AC 
994 |a 92  |b HCD