The Trace Formula For Hecke Operators Over Rank One Lattices
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The Trace Formula For Hecke Operators Over Rank One Lattices
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Author : Werner Hoffmann
language : en
Publisher:
Release Date : 1986
The Trace Formula For Hecke Operators Over Rank One Lattices written by Werner Hoffmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Functions, Zeta categories.
The Trace Formula For Hecke Operators Over Rank One Lattices
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Author : Werner Hoffmann
language : de
Publisher:
Release Date : 1986
The Trace Formula For Hecke Operators Over Rank One Lattices written by Werner Hoffmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Geometric Aspects Of The Trace Formula
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Author : Werner Müller
language : en
Publisher: Springer
Release Date : 2018-10-11
Geometric Aspects Of The Trace Formula written by Werner Müller and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-11 with Mathematics categories.
The second of three volumes devoted to the study of the trace formula, these proceedings focus on automorphic representations of higher rank groups. Based on research presented at the 2016 Simons Symposium on Geometric Aspects of the Trace Formula that took place in Schloss Elmau, Germany, the volume contains both original research articles and articles that synthesize current knowledge and future directions in the field. The articles discuss topics such as the classification problem of representations of reductive groups, the structure of Langlands and Arthur packets, interactions with geometric representation theory, and conjectures on the global automorphic spectrum. Suitable for both graduate students and researchers, this volume presents the latest research in the field. Readers of the first volume Families of Automorphic Forms and the Trace Formula will find this a natural continuation of the study of the trace formula.
Seminar Analysis Of The Karl Weierstrass Institute Of Mathematics Academy Of Sciences Of The Gdr 1986 87
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Author : Karl-Weierstrass-Institut für Mathematik
language : en
Publisher:
Release Date : 1988
Seminar Analysis Of The Karl Weierstrass Institute Of Mathematics Academy Of Sciences Of The Gdr 1986 87 written by Karl-Weierstrass-Institut für Mathematik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Elliptic operators categories.
Harmonic Analysis On Symmetric Spaces Higher Rank Spaces Positive Definite Matrix Space And Generalizations
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Author : Audrey Terras
language : en
Publisher: Springer
Release Date : 2016-04-26
Harmonic Analysis On Symmetric Spaces Higher Rank Spaces Positive Definite Matrix Space And Generalizations written by Audrey Terras and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-26 with Mathematics categories.
This text is an introduction to harmonic analysis on symmetric spaces, focusing on advanced topics such as higher rank spaces, positive definite matrix space and generalizations. It is intended for beginning graduate students in mathematics or researchers in physics or engineering. As with the introductory book entitled "Harmonic Analysis on Symmetric Spaces - Euclidean Space, the Sphere, and the Poincaré Upper Half Plane, the style is informal with an emphasis on motivation, concrete examples, history, and applications. The symmetric spaces considered here are quotients X=G/K, where G is a non-compact real Lie group, such as the general linear group GL(n,P) of all n x n non-singular real matrices, and K=O(n), the maximal compact subgroup of orthogonal matrices. Other examples are Siegel's upper half "plane" and the quaternionic upper half "plane". In the case of the general linear group, one can identify X with the space Pn of n x n positive definite symmetric matrices. Many corrections and updates have been incorporated in this new edition. Updates include discussions of random matrix theory and quantum chaos, as well as recent research on modular forms and their corresponding L-functions in higher rank. Many applications have been added, such as the solution of the heat equation on Pn, the central limit theorem of Donald St. P. Richards for Pn, results on densest lattice packing of spheres in Euclidean space, and GL(n)-analogs of the Weyl law for eigenvalues of the Laplacian in plane domains. Topics featured throughout the text include inversion formulas for Fourier transforms, central limit theorems, fundamental domains in X for discrete groups Γ (such as the modular group GL(n,Z) of n x n matrices with integer entries and determinant ±1), connections with the problem of finding densest lattice packings of spheres in Euclidean space, automorphic forms, Hecke operators, L-functions, and the Selberg trace formula and its applications in spectral theory as well as number theory.
Seminar Analysis Of The Karl Weierstrass Institute Of Mathematics
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Author :
language : en
Publisher:
Release Date : 1986
Seminar Analysis Of The Karl Weierstrass Institute Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Differential equations categories.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2001
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Number Theory Analysis And Geometry
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Author : Dorian Goldfeld
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-12-21
Number Theory Analysis And Geometry written by Dorian Goldfeld and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-21 with Mathematics categories.
Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground. As he moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry, and the theory of negatively curved spaces. Lang's conjectures will keep many mathematicians occupied far into the future. In the spirit of Lang’s vast contribution to mathematics, this memorial volume contains articles by prominent mathematicians in a variety of areas of the field, namely Number Theory, Analysis, and Geometry, representing Lang’s own breadth of interest and impact. A special introduction by John Tate includes a brief and fascinating account of the Serge Lang’s life. This volume's group of 6 editors are also highly prominent mathematicians and were close to Serge Lang, both academically and personally. The volume is suitable to research mathematicians in the areas of Number Theory, Analysis, and Geometry.
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Author :
language : en
Publisher:
Release Date : 1995
written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Reviews In Number Theory 1984 96
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Author :
language : en
Publisher: American Mathematical Society(RI)
Release Date : 1997
Reviews In Number Theory 1984 96 written by and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
These six volumes include approximately 20,000 reviews of items in number theory that appeared in Mathematical Reviews between 1984 and 1996. This is the third such set of volumes in number theory. The first was edited by W.J. LeVeque and included reviews from 1940-1972; the second was edited by R.K. Guy and appeared in 1984.