Spectral Decomposition And Eisenstein Series
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Spectral Decomposition and Eisenstein Series
Author | : Colette Moeglin,J. L. Waldspurger |
Publsiher | : Cambridge University Press |
Total Pages | : 382 |
Release | : 1995-11-02 |
Genre | : Mathematics |
ISBN | : 0521418933 |
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A self-contained introduction to automorphic forms, and Eisenstein series and pseudo-series, proving some of Langlands' work at the intersection of number theory and group theory.
Spectral Decomposition of a Covering of GL r the Borel case
Author | : Heng Sun |
Publsiher | : American Mathematical Soc. |
Total Pages | : 79 |
Release | : 2002 |
Genre | : Borel sets |
ISBN | : 9780821827758 |
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Let $F$ be a number field and ${\bf A}$ the ring of adeles over $F$. Suppose $\overline{G({\bf A})}$ is a metaplectic cover of $G({\bf A})=GL(r, {\bf A})$ which is given by the $n$-th Hilbert symbol on ${\bf A}$
Spectral Methods of Automorphic Forms
Author | : Henryk Iwaniec |
Publsiher | : American Mathematical Society, Revista Matemática Iberoamericana (RMI), Madrid, Spain |
Total Pages | : 220 |
Release | : 2021-11-17 |
Genre | : Mathematics |
ISBN | : 9781470466220 |
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Automorphic forms are one of the central topics of analytic number theory. In fact, they sit at the confluence of analysis, algebra, geometry, and number theory. In this book, Henryk Iwaniec once again displays his penetrating insight, powerful analytic techniques, and lucid writing style. The first edition of this book was an underground classic, both as a textbook and as a respected source for results, ideas, and references. Iwaniec treats the spectral theory of automorphic forms as the study of the space of $L^2$ functions on the upper half plane modulo a discrete subgroup. Key topics include Eisenstein series, estimates of Fourier coefficients, Kloosterman sums, the Selberg trace formula and the theory of small eigenvalues. Henryk Iwaniec was awarded the 2002 Cole Prize for his fundamental contributions to number theory.
Eisenstein Series and Automorphic Representations
Author | : Philipp Fleig,Henrik P. A. Gustafsson,Axel Kleinschmidt,Daniel Persson |
Publsiher | : Cambridge Studies in Advanced |
Total Pages | : 587 |
Release | : 2018-07-05 |
Genre | : Mathematics |
ISBN | : 9781107189928 |
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Detailed exposition of automorphic representations and their relation to string theory, for mathematicians and theoretical physicists.
On the Functional Equations Satisfied by Eisenstein Series
Author | : Robert P. Langlands |
Publsiher | : Springer |
Total Pages | : 344 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 9783540380702 |
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The Meromorphic Continuation and Functional Equations of Cuspidal Eisenstein Series for Maximal Cuspidal Subgroups
Author | : Shek-Tung Wong |
Publsiher | : American Mathematical Soc. |
Total Pages | : 210 |
Release | : 1990 |
Genre | : Mathematics |
ISBN | : 9780821824863 |
Download The Meromorphic Continuation and Functional Equations of Cuspidal Eisenstein Series for Maximal Cuspidal Subgroups Book in PDF, Epub and Kindle
We carry out, in the context of an algebraic group and an arithmetic subgroup, an idea of Selberg for continuing Eisenstein series. It makes use of the theory of integral operators. The meromorphic continuation and functional equation of an Eisenstein series constructed with a cusp form on the Levi component of a rank one cuspidal subgroup are established.
Heat Eisenstein Series on mathrm SL n C
Author | : Jay Jorgenson,Serge Lang |
Publsiher | : American Mathematical Soc. |
Total Pages | : 146 |
Release | : 2009 |
Genre | : Decomposition |
ISBN | : 9780821840443 |
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The purpose of this Memoir is to define and study multi-variable Eisenstein series attached to heat kernels. Fundamental properties of heat Eisenstein series are proved, and conjectural behavior, including their role in spectral expansions, are stated.
Automorphic Forms and Representations
Author | : Daniel Bump |
Publsiher | : Cambridge University Press |
Total Pages | : 592 |
Release | : 1998-11-28 |
Genre | : Mathematics |
ISBN | : 0521658187 |
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This book takes advanced graduate students from the foundations to topics on the research frontier.