Scattering Theory for Automorphic Functions and Its Relation to L-functions

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Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Scattering Theory for Automorphic Functions and Its Relation to L-functions by : Ioannis N. Petridis

Download or read book Scattering Theory for Automorphic Functions and Its Relation to L-functions written by Ioannis N. Petridis and published by . This book was released on 1992 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scattering Theory for Automorphic Functions

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Publisher : Princeton University Press
ISBN 13 : 9780691081847
Total Pages : 316 pages
Book Rating : 4.0/5 (818 download)

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Book Synopsis Scattering Theory for Automorphic Functions by : Peter D. Lax

Download or read book Scattering Theory for Automorphic Functions written by Peter D. Lax and published by Princeton University Press. This book was released on 1976 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application by Fadeev and Pavlov of the Lax-Phillips scattering theory to the automorphic wave equation led Professors Lax and Phillips to reexamine this development within the framework of their theory. This volume sets forth the results of that work in the form of new or more straightforward treatments of the spectral theory of the Laplace-Beltrami operator over fundamental domains of finite area; the meromorphic character over the whole complex plane of the Eisenstein series; and the Selberg trace formula. CONTENTS: 1. Introduction. 2. An abstract scattering theory. 3. A modified theory for second order equations with an indefinite energy form. 4. The Laplace-Beltrami operator for the modular group. 5. The automorphic wave equation. 6. Incoming and outgoing subspaces for the automorphic wave equations. 7. The scattering matrix for the automorphic wave equation. 8. The general case. 9. The Selberg trace formula.

Scattering Theory for Automorphic Functions

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (848 download)

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Book Synopsis Scattering Theory for Automorphic Functions by : Peter D. Lax

Download or read book Scattering Theory for Automorphic Functions written by Peter D. Lax and published by . This book was released on 1976 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scattering Theory for Automorphic Functions. (AM-87), Volume 87

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Publisher : Princeton University Press
ISBN 13 : 1400881560
Total Pages : 312 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Scattering Theory for Automorphic Functions. (AM-87), Volume 87 by : Peter D. Lax

Download or read book Scattering Theory for Automorphic Functions. (AM-87), Volume 87 written by Peter D. Lax and published by Princeton University Press. This book was released on 2016-03-02 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application by Fadeev and Pavlov of the Lax-Phillips scattering theory to the automorphic wave equation led Professors Lax and Phillips to reexamine this development within the framework of their theory. This volume sets forth the results of that work in the form of new or more straightforward treatments of the spectral theory of the Laplace-Beltrami operator over fundamental domains of finite area; the meromorphic character over the whole complex plane of the Eisenstein series; and the Selberg trace formula. CONTENTS: 1. Introduction. 2. An abstract scattering theory. 3. A modified theory for second order equations with an indefinite energy form. 4. The Laplace-Beltrami operator for the modular group. 5. The automorphic wave equation. 6. Incoming and outgoing subspaces for the automorphic wave equations. 7. The scattering matrix for the automorphic wave equation. 8. The general case. 9. The Selberg trace formula.

Eisenstein Series and Automorphic Representations

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Publisher : Cambridge Studies in Advanced
ISBN 13 : 1107189926
Total Pages : 587 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Eisenstein Series and Automorphic Representations by : Philipp Fleig

Download or read book Eisenstein Series and Automorphic Representations written by Philipp Fleig and published by Cambridge Studies in Advanced. This book was released on 2018-07-05 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed exposition of automorphic representations and their relation to string theory, for mathematicians and theoretical physicists.

L-Functions and Automorphic Forms

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Publisher : Springer
ISBN 13 : 3319697129
Total Pages : 366 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis L-Functions and Automorphic Forms by : Jan Hendrik Bruinier

Download or read book L-Functions and Automorphic Forms written by Jan Hendrik Bruinier and published by Springer. This book was released on 2018-02-22 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of carefully refereed research articles and lecture notes stemming from the Conference "Automorphic Forms and L-Functions", held at the University of Heidelberg in 2016. The theory of automorphic forms and their associated L-functions is one of the central research areas in modern number theory, linking number theory, arithmetic geometry, representation theory, and complex analysis in many profound ways. The 19 papers cover a wide range of topics within the scope of the conference, including automorphic L-functions and their special values, p-adic modular forms, Eisenstein series, Borcherds products, automorphic periods, and many more.

Spectral Theory of Automorphic Functions

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821830789
Total Pages : 196 pages
Book Rating : 4.8/5 (37 download)

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Book Synopsis Spectral Theory of Automorphic Functions by : A. B. Venkov

Download or read book Spectral Theory of Automorphic Functions written by A. B. Venkov and published by American Mathematical Soc.. This book was released on 1983 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Encyclopaedia of Mathematics

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Publisher : Springer
ISBN 13 : 1489937978
Total Pages : 927 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel

Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 927 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Automorphic Forms and L-Functions for the Group GL(n,R)

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Publisher : Cambridge University Press
ISBN 13 : 1139456202
Total Pages : 65 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Automorphic Forms and L-Functions for the Group GL(n,R) by : Dorian Goldfeld

Download or read book Automorphic Forms and L-Functions for the Group GL(n,R) written by Dorian Goldfeld and published by Cambridge University Press. This book was released on 2006-08-03 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.

Scattering Theory, Revised Edition

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Publisher : Academic Press
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Scattering Theory, Revised Edition by : Peter D. Lax

Download or read book Scattering Theory, Revised Edition written by Peter D. Lax and published by Academic Press. This book was released on 1989 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised edition of a classic book, which established scattering theory as an important and fruitful area of research, reflects the wealth of new results discovered in the intervening years. This new, revised edition should continue to inspire researchers to expand the application of the original ideas proposed by the authors.

Scattering Theory, Revised Edition

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Publisher : Academic Press
ISBN 13 : 9780080873381
Total Pages : 309 pages
Book Rating : 4.8/5 (733 download)

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Book Synopsis Scattering Theory, Revised Edition by : Peter D. Lax

Download or read book Scattering Theory, Revised Edition written by Peter D. Lax and published by Academic Press. This book was released on 1990-02-22 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised edition of a classic book, which established scattering theory as an important and fruitful area of research, reflects the wealth of new results discovered in the intervening years. This new, revised edition should continue to inspire researchers to expand the application of the original ideas proposed by the authors.

Harmonic Analysis on Symmetric Spaces and Applications I

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Publisher : Springer Science & Business Media
ISBN 13 : 1461251281
Total Pages : 353 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Harmonic Analysis on Symmetric Spaces and Applications I by : Audrey Terras

Download or read book Harmonic Analysis on Symmetric Spaces and Applications I written by Audrey Terras and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its beginnings with Fourier (and as far back as the Babylonian astron omers), harmonic analysis has been developed with the goal of unraveling the mysteries of the physical world of quasars, brain tumors, and so forth, as well as the mysteries of the nonphysical, but no less concrete, world of prime numbers, diophantine equations, and zeta functions. Quoting Courant and Hilbert, in the preface to the first German edition of Methods of Mathematical Physics: "Recent trends and fashions have, however, weakened the connection between mathematics and physics. " Such trends are still in evidence, harmful though they may be. My main motivation in writing these notes has been a desire to counteract this tendency towards specialization and describe appli cations of harmonic analysis in such diverse areas as number theory (which happens to be my specialty), statistics, medicine, geophysics, and quantum physics. I remember being quite surprised to learn that the subject is useful. My graduate eduation was that of the 1960s. The standard mathematics graduate course proceeded from Definition 1. 1. 1 to Corollary 14. 5. 59, with no room in between for applications, motivation, history, or references to related work. My aim has been to write a set of notes for a very different sort of course.

Spectral Theory of Automorphic Functions

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Publisher : Springer Science & Business Media
ISBN 13 : 9400918925
Total Pages : 189 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Spectral Theory of Automorphic Functions by : A.B. Venkov

Download or read book Spectral Theory of Automorphic Functions written by A.B. Venkov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi ..., si j'avait su comment en revcnrr, One service mathematics has rendered the je n'y serais point aile.' human race. It has put common sense back. Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Families of Automorphic Forms and the Trace Formula

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Publisher : Springer
ISBN 13 : 3319414240
Total Pages : 578 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Families of Automorphic Forms and the Trace Formula by : Werner Müller

Download or read book Families of Automorphic Forms and the Trace Formula written by Werner Müller and published by Springer. This book was released on 2016-09-20 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each peer-reviewed submission in this volume, based on the Simons Foundation symposium on families of automorphic forms and the trace formula held in Puerto Rico in January-February 2014, is the product of intensive research collaboration by the participants over the course of the seven-day workshop. The goal of each session in the symposium was to bring together researchers with diverse specialties in order to identify key difficulties as well as fruitful approaches being explored in the field. The respective themes were counting cohomological forms, p-adic trace formulas, Hecke fields, slopes of modular forms, and orbital integrals.

Dissertation Abstracts International

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Publisher :
ISBN 13 :
Total Pages : 780 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2005 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representation Theory and Automorphic Forms

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Publisher : American Mathematical Soc.
ISBN 13 : 0821806092
Total Pages : 490 pages
Book Rating : 4.8/5 (218 download)

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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 and published by American Mathematical Soc.. This book was released on 1997 with total page 490 pages. 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

Multiple Dirichlet Series, L-functions and Automorphic Forms

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Publisher : Springer
ISBN 13 : 0817683348
Total Pages : 361 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Multiple Dirichlet Series, L-functions and Automorphic Forms by : Daniel Bump

Download or read book Multiple Dirichlet Series, L-functions and Automorphic Forms written by Daniel Bump and published by Springer. This book was released on 2012-07-09 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibits surprising and deep connections to crystal graphs and mathematical physics. As such, it represents a new way in which areas including number theory, combinatorics, statistical mechanics, and quantum groups are seen to fit together. The volume also includes papers on automorphic forms and L-functions and related number-theoretic topics. This volume will be a valuable resource for graduate students and researchers in number theory, combinatorics, representation theory, mathematical physics, and special functions. Contributors: J. Beineke, B. Brubaker, D. Bump, G. Chinta, G. Cornelissen, C.A. Diaconu, S. Frechette, S. Friedberg, P. Garrett, D. Goldfeld, P.E. Gunnells, B. Heim, J. Hundley, D. Ivanov, Y. Komori, A.V. Kontorovich, O. Lorscheid, K. Matsumoto, P.J. McNamara, S.J. Patterson, M. Suzuki, H. Tsumura.