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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 : 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 : 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 : 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 :
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 : 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 :
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 : 544 pages
Book Rating : 4.F/5 ( download)
Download or read book The Selberg Trace Formula for PSL (2, IR) written by Dennis A. Hejhal and published by . This book was released on 1976 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pia Bauer-Price
Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Selberg Trace Formula for PSL(2, OK) for Imaginary Quadratic Number Fields K of Arbitrary Class Number written by Pia Bauer-Price and published by . This book was released on 1991 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christian Grosche
Publisher : World Scientific
ISBN 13 : 9814460095
Total Pages : 389 pages
Book Rating : 4.8/5 (144 download)
Download or read book Path Integrals, Hyperbolic Spaces And Selberg Trace Formulae (2nd Edition) written by Christian Grosche and published by World Scientific. This book was released on 2013-07-26 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this second edition, a comprehensive review is given for path integration in two- and three-dimensional (homogeneous) spaces of constant and non-constant curvature, including an enumeration of all the corresponding coordinate systems which allow separation of variables in the Hamiltonian and in the path integral. The corresponding path integral solutions are presented as a tabulation. Proposals concerning interbasis expansions for spheroidal coordinate systems are also given. In particular, the cases of non-constant curvature Darboux spaces are new in this edition.The volume also contains results on the numerical study of the properties of several integrable billiard systems in compact domains (i.e. rectangles, parallelepipeds, circles and spheres) in two- and three-dimensional flat and hyperbolic spaces. In particular, the discussions of integrable billiards in circles and spheres (flat and hyperbolic spaces) and in three dimensions are new in comparison to the first edition.In addition, an overview is presented on some recent achievements in the theory of the Selberg trace formula on Riemann surfaces, its super generalization, their use in mathematical physics and string theory, and some further results derived from the Selberg (super-) trace formula.
Author : Isaac Y. Efrat
Publisher : American Mathematical Soc.
ISBN 13 : 0821824244
Total Pages : 121 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Selberg Trace Formula for PSL_2(R)^n written by Isaac Y. Efrat and published by American Mathematical Soc.. This book was released on 1987 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: We evaluate the Selberg trace formula for all discrete, irreducible, cofinite subgroups of PSL2 ([double-struck capital]R)[italic superscript]n. In particular, this involves studying the spectral theory of the fundamental domain, and the analysis of the appropriate Eisenstein series. A special role is played by the Hilbert modular groups, both because of their relation to the general case, stemming from a rigidity theorem, and their inherent algebraic number theoretic interest.
Author : Christian Grosche
Publisher : World Scientific
ISBN 13 : 9814460087
Total Pages : 389 pages
Book Rating : 4.8/5 (144 download)
Download or read book Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae written by Christian Grosche and published by World Scientific. This book was released on 2013 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this second edition, a comprehensive review is given for path integration in two- and three-dimensional (homogeneous) spaces of constant and non-constant curvature, including an enumeration of all the corresponding coordinate systems which allow separation of variables in the Hamiltonian and in the path integral. The corresponding path integral solutions are presented as a tabulation. Proposals concerning interbasis expansions for spheroidal coordinate systems are also given. In particular, the cases of non-constant curvature Darboux spaces are new in this edition. The volume also contains results on the numerical study of the properties of several integrable billiard systems in compact domains (i.e. rectangles, parallelepipeds, circles and spheres) in two- and three-dimensional flat and hyperbolic spaces. In particular, the discussions of integrable billiards in circles and spheres (flat and hyperbolic spaces) and in three dimensions are new in comparison to the first edition. In addition, an overview is presented on some recent achievements in the theory of the Selberg trace formula on Riemann surfaces, its super generalization, their use in mathematical physics and string theory, and some further results derived from the Selberg (super-) trace formula.
Author : Audrey Terras
Publisher : Springer Science & Business Media
ISBN 13 : 146123820X
Total Pages : 395 pages
Book Rating : 4.4/5 (612 download)
Download or read book Harmonic Analysis on Symmetric Spaces and Applications II written by Audrey Terras and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Well, finally, here it is-the long-promised "Revenge of the Higher Rank Symmetric Spaces and Their Fundamental Domains." When I began work on it in 1977, I would probably have stopped immediately if someone had told me that ten years would pass before I would declare it "finished." Yes, I am declaring it finished-though certainly not perfected. There is a large amount of work going on at the moment as the piles of preprints reach the ceiling. Nevertheless, it is summer and the ocean calls. So I am not going to spend another ten years revising and polishing. But, gentle reader, do send me your corrections and even your preprints. Thanks to your work, there is an Appendix at the end of this volume with corrections to Volume I. I said it all in the Preface to Volume I. So I will try not to repeat myself here. Yes, the "recent trends" mentioned in that Preface are still just as recent.
Author : Audrey Terras
Publisher : Cambridge University Press
ISBN 13 : 9780521457187
Total Pages : 456 pages
Book Rating : 4.4/5 (571 download)
Download or read book Fourier Analysis on Finite Groups and Applications written by Audrey Terras and published by Cambridge University Press. This book was released on 1999-03-28 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: It examines the theory of finite groups in a manner that is both accessible to the beginner and suitable for graduate research.
Author : Solomon Friedberg
Publisher : American Mathematical Soc.
ISBN 13 : 0821839632
Total Pages : 320 pages
Book Rating : 4.8/5 (218 download)
Download or read book Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory written by Solomon Friedberg and published by American Mathematical Soc.. This book was released on 2006 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple Dirichlet series are Dirichlet series in several complex variables. A multiple Dirichlet series is said to be perfect if it satisfies a finite group of functional equations and has meromorphic continuation everywhere. The earliest examples came from Mellin transforms of metaplectic Eisenstein series and have been intensively studied over the last twenty years. More recently, many other examples have been discovered and it appears that all the classical theorems on moments of $L$-functions as well as the conjectures (such as those predicted by random matrix theory) can now be obtained via the theory of multiple Dirichlet series. Furthermore, new results, not obtainable by other methods, are just coming to light. This volume offers an account of some of the major research to date and the opportunities for the future. It includes an exposition of the main results in the theory of multiple Dirichlet series, and papers on moments of zeta- and $L$-functions, on new examples of multiple Dirichlet
Author : Hari M. Srivastava
Publisher : Springer Science & Business Media
ISBN 13 : 9780792370543
Total Pages : 408 pages
Book Rating : 4.3/5 (75 download)
Download or read book Series Associated With the Zeta and Related Functions written by Hari M. Srivastava and published by Springer Science & Business Media. This book was released on 2001 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years there has been an increasing interest in problems involving closed form evaluations of (and representations of the Riemann Zeta function at positive integer arguments as) various families of series associated with the Riemann Zeta function ((s), the Hurwitz Zeta function ((s,a), and their such extensions and generalizations as (for example) Lerch's transcendent (or the Hurwitz-Lerch Zeta function) iI>(z, s, a). Some of these developments have apparently stemmed from an over two-century-old theorem of Christian Goldbach (1690-1764), which was stated in a letter dated 1729 from Goldbach to Daniel Bernoulli (1700-1782), from recent rediscoveries of a fairly rapidly convergent series representation for ((3), which is actually contained in a 1772 paper by Leonhard Euler (1707-1783), and from another known series representation for ((3), which was used by Roger Apery (1916-1994) in 1978 in his celebrated proof of the irrationality of ((3). This book is motivated essentially by the fact that the theories and applications of the various methods and techniques used in dealing with many different families of series associated with the Riemann Zeta function and its aforementioned relatives are to be found so far only"in widely scattered journal articles. Thus our systematic (and unified) presentation of these results on the evaluation and representation of the Zeta and related functions is expected to fill a conspicuous gap in the existing books dealing exclusively with these Zeta functions.
Author : M.V. Fedoryuk
Publisher : Springer Science & Business Media
ISBN 13 : 3642584233
Total Pages : 248 pages
Book Rating : 4.6/5 (425 download)
Download or read book Partial Differential Equations V written by M.V. Fedoryuk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we shall discuss the construction of formal short-wave asymp totic solutions of problems of mathematical physics. The topic is very broad. It can somewhat conveniently be divided into three parts: 1. Finding the short-wave asymptotics of a rather narrow class of problems, which admit a solution in an explicit form, via formulas that represent this solution. 2. Finding formal asymptotic solutions of equations that describe wave processes by basing them on some ansatz or other. We explain what 2 means. Giving an ansatz is knowing how to give a formula for the desired asymptotic solution in the form of a series or some expression containing a series, where the analytic nature of the terms of these series is indicated up to functions and coefficients that are undetermined at the first stage of consideration. The second stage is to determine these functions and coefficients using a direct substitution of the ansatz in the equation, the boundary conditions and the initial conditions. Sometimes it is necessary to use different ansiitze in different domains, and in the overlapping parts of these domains the formal asymptotic solutions must be asymptotically equivalent (the method of matched asymptotic expansions). The basis for success in the search for formal asymptotic solutions is a suitable choice of ansiitze. The study of the asymptotics of explicit solutions of special model problems allows us to "surmise" what the correct ansiitze are for the general solution.
