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Author : Dennis A. Hejhal
Publisher : Springer
ISBN 13 : 3540409149
Total Pages : 815 pages
Book Rating : 4.5/5 (44 download)
Download or read book The Selberg Trace Formula for PSL (2,R) written by Dennis A. Hejhal and published by Springer. This book was released on 2006-11-15 with total page 815 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dennis A. Hejhal
Publisher :
ISBN 13 :
Total Pages : 806 pages
Book Rating : 4.:/5 (472 download)
Download or read book The Selberg Trace Formula for PSL(2,R) written by Dennis A. Hejhal and published by . This book was released on 1983 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dennis A. Hejhal
Publisher :
ISBN 13 :
Total Pages : 516 pages
Book Rating : 4.:/5 (254 download)
Download or read book The Selberg Trace Formula for PSL(2,R) written by Dennis A. Hejhal and published by . This book was released on 1976 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dennis A. Hejhal
Publisher :
ISBN 13 :
Total Pages : 806 pages
Book Rating : 4.:/5 (77 download)
Download or read book The Selberg Trace Formula for Psl (2, Tr). Volume 2 written by Dennis A. Hejhal and published by . This book was released on 1983 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dennis A. Hejhal
Publisher :
ISBN 13 : 9783662195222
Total Pages : 528 pages
Book Rating : 4.1/5 (952 download)
Download or read book The Selberg Trace Formula for Psl (2, R) written by Dennis A. Hejhal and published by . This book was released on 2014-09-01 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dennis A. Hejhal
Publisher : Springer
ISBN 13 : 3540379797
Total Pages : 523 pages
Book Rating : 4.5/5 (43 download)
Download or read book The Selberg Trace Formula for PSL (2,R) written by Dennis A. Hejhal and published by Springer. This book was released on 2006-11-14 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Werner Müller
Publisher : Springer
ISBN 13 : 3319414240
Total Pages : 581 pages
Book Rating : 4.3/5 (194 download)
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 581 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.
Author : Dennis A. Hejhal
Publisher : Springer
ISBN 13 :
Total Pages : 742 pages
Book Rating : 4.:/5 (321 download)
Download or read book The Selberg Trace Formula for PSL (2, IR) written by Dennis A. Hejhal and published by Springer. This book was released on 1976 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sigurdur Helgason
Publisher : American Mathematical Society
ISBN 13 : 0821832115
Total Pages : 667 pages
Book Rating : 4.8/5 (218 download)
Download or read book Groups and Geometric Analysis written by Sigurdur Helgason and published by American Mathematical Society. This book was released on 2022-03-17 with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group-theoretic methods have taken an increasingly prominent role in analysis. Some of this change has been due to the writings of Sigurdur Helgason. This book is an introduction to such methods on spaces with symmetry given by the action of a Lie group. The introductory chapter is a self-contained account of the analysis on surfaces of constant curvature. Later chapters cover general cases of the Radon transform, spherical functions, invariant operators, compact symmetric spaces and other topics. This book, together with its companion volume, Geometric Analysis on Symmetric Spaces (AMS Mathematical Surveys and Monographs series, vol. 39, 1994), has become the standard text for this approach to geometric analysis. Sigurdur Helgason was awarded the Steele Prize for outstanding mathematical exposition for Groups and Geometric Analysis and Differential Geometry, Lie Groups and Symmetric Spaces.
Author : Sigurdur Helgason
Publisher : Springer Science & Business Media
ISBN 13 : 9780817641092
Total Pages : 214 pages
Book Rating : 4.6/5 (41 download)
Download or read book The Radon Transform written by Sigurdur Helgason and published by Springer Science & Business Media. This book was released on 1999-08-01 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Radon transform is an important topic in integral geometry which deals with the problem of expressing a function on a manifold in terms of its integrals over certain submanifolds. Solutions to such problems have a wide range of applications, namely to partial differential equations, group representations, X-ray technology, nuclear magnetic resonance scanning, and tomography. This second edition, significantly expanded and updated, presents new material taking into account some of the progress made in the field since 1980. Aimed at beginning graduate students, this monograph will be useful in the classroom or as a resource for self-study. Readers will find here an accessible introduction to Radon transform theory, an elegant topic in integral geometry.
Author : Steve Zelditch
Publisher : American Mathematical Soc.
ISBN 13 : 1470410370
Total Pages : 410 pages
Book Rating : 4.4/5 (74 download)
Download or read book Eigenfunctions of the Laplacian on a Riemannian Manifold written by Steve Zelditch and published by American Mathematical Soc.. This book was released on 2017-12-12 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eigenfunctions of the Laplacian of a Riemannian manifold can be described in terms of vibrating membranes as well as quantum energy eigenstates. This book is an introduction to both the local and global analysis of eigenfunctions. The local analysis of eigenfunctions pertains to the behavior of the eigenfunctions on wavelength scale balls. After re-scaling to a unit ball, the eigenfunctions resemble almost-harmonic functions. Global analysis refers to the use of wave equation methods to relate properties of eigenfunctions to properties of the geodesic flow. The emphasis is on the global methods and the use of Fourier integral operator methods to analyze norms and nodal sets of eigenfunctions. A somewhat unusual topic is the analytic continuation of eigenfunctions to Grauert tubes in the real analytic case, and the study of nodal sets in the complex domain. The book, which grew out of lectures given by the author at a CBMS conference in 2011, provides complete proofs of some model results, but more often it gives informal and intuitive explanations of proofs of fairly recent results. It conveys inter-related themes and results and offers an up-to-date comprehensive treatment of this important active area of research.
Author : Bekka M Bachir La Harpe Pierre de Valette Alain
Publisher :
ISBN 13 : 9780511395116
Total Pages : 488 pages
Book Rating : 4.3/5 (951 download)
Download or read book Kazhdan's Property (T) written by Bekka M Bachir La Harpe Pierre de Valette Alain and published by . This book was released on 2014-05-14 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to the role of Property (T), with applications to an amazing number of fields within mathematics.
Author : Andrei A Bytsenko
Publisher : World Scientific
ISBN 13 : 9814502987
Total Pages : 336 pages
Book Rating : 4.8/5 (145 download)
Download or read book Zeta Regularization Techniques With Applications written by Andrei A Bytsenko and published by World Scientific. This book was released on 1994-05-16 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of several years of work by the authors on different aspects of zeta functions and related topics. The aim is twofold. On one hand, a considerable number of useful formulas, essential for dealing with the different aspects of zeta-function regularization (analytic continuation, asymptotic expansions), many of which appear here, in book format, for the first time are presented. On the other hand, the authors show explicitly how to make use of such formulas and techniques in practical applications to physical problems of very different nature. Virtually all types of zeta functions are dealt with in the book.
Author : Wee Teck Gan
Publisher : Springer Science & Business Media
ISBN 13 : 0817646396
Total Pages : 317 pages
Book Rating : 4.8/5 (176 download)
Download or read book Eisenstein Series and Applications written by Wee Teck Gan and published by Springer Science & Business Media. This book was released on 2007-12-22 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions. They have also been exploited extensively by number theorists for many arithmetic purposes. Bringing together contributions from areas which do not usually interact with each other, this volume introduces diverse users of Eisenstein series to a variety of important applications. With this juxtaposition of perspectives, the reader obtains deeper insights into the arithmetic of Eisenstein series. The central theme of the exposition focuses on the common structural properties of Eisenstein series occurring in many related applications.
Author :
Publisher :
ISBN 13 :
Total Pages : 904 pages
Book Rating : 4.E/5 ( download)
Download or read book Soviet Mathematics written by and published by . This book was released on 1971 with total page 904 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Victor Guillemin
Publisher : American Mathematical Soc.
ISBN 13 : 0821816330
Total Pages : 500 pages
Book Rating : 4.8/5 (218 download)
Download or read book Geometric Asymptotics written by Victor Guillemin and published by American Mathematical Soc.. This book was released on 1990 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symplectic geometry and the theory of Fourier integral operators are modern manifestations of themes that have occupied a central position in mathematical thought for the past three hundred years--the relations between the wave and the corpuscular theories of light. The purpose of this book is to develop these themes, and present some of the recent advances, using the language of differential geometry as a unifying influence.
Author : Semyon Dyatlov
Publisher : American Mathematical Soc.
ISBN 13 : 147044366X
Total Pages : 649 pages
Book Rating : 4.4/5 (74 download)
Download or read book Mathematical Theory of Scattering Resonances written by Semyon Dyatlov and published by American Mathematical Soc.. This book was released on 2019-09-10 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering resonances generalize bound states/eigenvalues for systems in which energy can scatter to infinity. A typical resonance has a rate of oscillation (just as a bound state does) and a rate of decay. Although the notion is intrinsically dynamical, an elegant mathematical formulation comes from considering meromorphic continuations of Green's functions. The poles of these meromorphic continuations capture physical information by identifying the rate of oscillation with the real part of a pole and the rate of decay with its imaginary part. An example from mathematics is given by the zeros of the Riemann zeta function: they are, essentially, the resonances of the Laplacian on the modular surface. The Riemann hypothesis then states that the decay rates for the modular surface are all either or . An example from physics is given by quasi-normal modes of black holes which appear in long-time asymptotics of gravitational waves. This book concentrates mostly on the simplest case of scattering by compactly supported potentials but provides pointers to modern literature where more general cases are studied. It also presents a recent approach to the study of resonances on asymptotically hyperbolic manifolds. The last two chapters are devoted to semiclassical methods in the study of resonances.
