Weil Representation I Intertwining Distributions And Discrete Spectrum
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Weil Representation I Intertwining Distributions and Discrete Spectrum
Author | : Stephen Rallis,Gerard Schiffmann |
Publsiher | : American Mathematical Soc. |
Total Pages | : 212 |
Release | : 1980 |
Genre | : Lie groups |
ISBN | : 9780821822319 |
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We set forth the foundations of the spectral decomposition of the Weil representation associated to a nondegenerate quadratic form Q over the field [double-struck capital]R of real numbers. The relevant intertwining distributions are constructed, and a complete analysis is mode of the discrete spectrum.
Weil Representation 1
Author | : S. Rallis,G. Schiffmann |
Publsiher | : Unknown |
Total Pages | : 139 |
Release | : 1974 |
Genre | : Electronic Book |
ISBN | : OCLC:897744743 |
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Automorphic Forms Representations and L Functions
Author | : Symposium in Pure Mathematics |
Publsiher | : American Mathematical Soc. |
Total Pages | : 322 |
Release | : 1979 |
Genre | : Mathematics |
ISBN | : 9780821814352 |
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Part 1 contains sections on Reductive groups, representations, Automorphic forms and representations)
The Selberg Trace Formula for PSL 2 R
Author | : Dennis A. Hejhal |
Publsiher | : Springer |
Total Pages | : 815 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 9783540409144 |
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Selected Works of Ilya Piatetski Shapiro
Author | : James Cogdell,Simon Gindikin,Peter Sarnak |
Publsiher | : American Mathematical Society |
Total Pages | : 852 |
Release | : 2022-11-03 |
Genre | : Mathematics |
ISBN | : 9781470454944 |
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This selection of papers of I. Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic $L$-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.
Selected Works of Ilya Piatetski Shapiro
Author | : Ilʹi︠a︡ Iosifovich Pi︠a︡tet︠s︡kiĭ-Shapiro |
Publsiher | : American Mathematical Soc. |
Total Pages | : 860 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 082180930X |
Download Selected Works of Ilya Piatetski Shapiro Book in PDF, Epub and Kindle
This selection of papers of Ilya Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic L-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.
Degree 16 Standard L function of GSp 2 XGSp 2
Author | : Dihua Jiang |
Publsiher | : American Mathematical Soc. |
Total Pages | : 196 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : 9780821804766 |
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Automorphic L-functions, introduced by Robert Langlands in the 1960s, are natural extensions of such classical L-functions as the Riemann zeta function, Hecke L-functions, etc. They form an important part of the Langlands Program, which seeks to establish connections among number theory, representation theory, and geometry. This book offers, via the Rankin-Selberg method, a thorough and comprehensive examination of the degree 16 standard L-function of the product of two rank two symplectic similitude groups, which includes the study of the global integral of Rankin-Selberg type and local integrals, analytic properties of certain Eisenstein series of symplectic groups, and the relevant residue representations.
Symmetry Representation Theory and Its Applications
Author | : Roger Howe,Markus Hunziker,Jeb F. Willenbring |
Publsiher | : Springer |
Total Pages | : 538 |
Release | : 2015-01-04 |
Genre | : Mathematics |
ISBN | : 9781493915903 |
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Nolan Wallach's mathematical research is remarkable in both its breadth and depth. His contributions to many fields include representation theory, harmonic analysis, algebraic geometry, combinatorics, number theory, differential equations, Riemannian geometry, ring theory, and quantum information theory. The touchstone and unifying thread running through all his work is the idea of symmetry. This volume is a collection of invited articles that pay tribute to Wallach's ideas, and show symmetry at work in a large variety of areas. The articles, predominantly expository, are written by distinguished mathematicians and contain sufficient preliminary material to reach the widest possible audiences. Graduate students, mathematicians, and physicists interested in representation theory and its applications will find many gems in this volume that have not appeared in print elsewhere. Contributors: D. Barbasch, K. Baur, O. Bucicovschi, B. Casselman, D. Ciubotaru, M. Colarusso, P. Delorme, T. Enright, W.T. Gan, A Garsia, G. Gour, B. Gross, J. Haglund, G. Han, P. Harris, J. Hong, R. Howe, M. Hunziker, B. Kostant, H. Kraft, D. Meyer, R. Miatello, L. Ni, G. Schwarz, L. Small, D. Vogan, N. Wallach, J. Wolf, G. Xin, O. Yacobi.