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:
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:
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:
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:
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:
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:
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:
Download or read book The Selberg trace formula for PSL 2 TR written by Dennis Arnold Hejhal and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Selberg Trace Formula for PSL 2 mathematical Symbol for the Real Line written by Dennis A Hejhal and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Selberg Trace Formula for PSL2 R n written by Isaac Y. Efrat and published by . This book was released on 1987 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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:
Download or read book The Selberg Trace Formula for PSL B2 S IR n written by Isaac Y. Efrat and published by . This book was released on 1987 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Approach to the Selberg Trace Formula via the Selberg Zeta Function written by Jürgen Fischer and published by Springer. This book was released on 2006-11-15 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Notes give a direct approach to the Selberg zeta-function for cofinite discrete subgroups of SL (2,#3) acting on the upper half-plane. The basic idea is to compute the trace of the iterated resolvent kernel of the hyperbolic Laplacian in order to arrive at the logarithmic derivative of the Selberg zeta-function. Previous knowledge of the Selberg trace formula is not assumed. The theory is developed for arbitrary real weights and for arbitrary multiplier systems permitting an approach to known results on classical automorphic forms without the Riemann-Roch theorem. The author's discussion of the Selberg trace formula stresses the analogy with the Riemann zeta-function. For example, the canonical factorization theorem involves an analogue of the Euler constant. Finally the general Selberg trace formula is deduced easily from the properties of the Selberg zeta-function: this is similar to the procedure in analytic number theory where the explicit formulae are deduced from the properties of the Riemann zeta-function. Apart from the basic spectral theory of the Laplacian for cofinite groups the book is self-contained and will be useful as a quick approach to the Selberg zeta-function and the Selberg trace formula.
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 1996-02-29 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, a comprehensive review is given for path integration in two- and three-dimensional homogeneous spaces of constant curvature, including an enumeration of all 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.In addition, an overview is presented on some recent achievements in the theory of the Selberg trace formula on Riemann surfaces, its super generalization, and their use in mathematical physics and quantum chaos.The volume also contains results on the study of the properties of a particular integrable billiard system in the hyperbolic plane, a proposal concerning interbasis expansions for spheroidal coordinate systems in four-dimensional Euclidean space, and some further results derived from the Selberg (super-) trace formula.
Download or read book Spectral Analysis in Geometry and Number Theory written by Motoko Kotani and published by American Mathematical Soc.. This book was released on 2009 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an outgrowth of an international conference in honor of Toshikazu Sunada on the occasion of his sixtieth birthday. The conference took place at Nagoya University, Japan, in 2007. Sunada's research covers a wide spectrum of spectral analysis, including interactions among geometry, number theory, dynamical systems, probability theory and mathematical physics. Readers will find papers on trace formulae, isospectral problems, zeta functions, quantum ergodicity, random waves, discrete geometric analysis, value distribution, and semiclassical analysis. This volume also contains an article that presents an overview of Sunada's work in mathematics up to the age of sixty.
