An Approach To The Selberg Trace Formula Via The Selberg Zeta Function
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An Approach To The Selberg Trace Formula Via The Selberg Zeta Function
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Author : Jürgen Fischer
language : en
Publisher:
Release Date : 2014-01-15
An Approach To The Selberg Trace Formula Via The Selberg Zeta Function written by Jürgen Fischer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
An Approach To The Selberg Trace Formula Via The Selberg Zeta Function
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Author : Jürgen Fischer
language : en
Publisher: Springer
Release Date : 2006-11-15
An Approach To The Selberg Trace Formula Via The Selberg Zeta Function written by Jürgen Fischer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
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.
An Approach To The Selberg Trace Formula Via The Selberg Zeta Function
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Author :
language : de
Publisher:
Release Date : 1964
An Approach To The Selberg Trace Formula Via The Selberg Zeta Function written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Functions, Zeta categories.
Number Theoretic Analysis
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Author : Edmund Hlawka
language : en
Publisher: Springer
Release Date : 2006-11-14
Number Theoretic Analysis written by Edmund Hlawka and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Mathematical Economics
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Author : Antonio Ambrosetti
language : en
Publisher: Springer
Release Date : 2006-11-15
Mathematical Economics written by Antonio Ambrosetti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Business & Economics categories.
Contents: I. Ekeland: Some Variational Methods Arising from Mathematical Economics.- A. Mas-Colell: Four Lectures on the Differentiable Approach to General Equilibrium Theory.- J. Scheinkman: Dynamic General Equilibrium Models.- S. Zamir: Topics in Non Cooperative Game Theory.
Geometry And Analysis On Manifolds
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Author : Toshikazu Sunada
language : en
Publisher: Springer
Release Date : 2006-11-14
Geometry And Analysis On Manifolds written by Toshikazu Sunada and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The Taniguchi Symposium on global analysis on manifolds focused mainly on the relationships between some geometric structures of manifolds and analysis, especially spectral analysis on noncompact manifolds. Included in the present volume are expanded versions of most of the invited lectures. In these original research articles, the reader will find up-to date accounts of the subject.
Quantum Probability And Applications Iv
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Author : Luigi Accardi
language : en
Publisher: Springer
Release Date : 2006-11-14
Quantum Probability And Applications Iv written by Luigi Accardi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
This volume, the fourth of the quantum probability series, collects part of the contributions to the Year of Quantum Probability organized by the Volterra Center of University of Rome II. The intensive communication among researchers during this Year allowed several open problems to be solved and several inexpected connections to be revealed.
Combinatorial Optimization
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Author : Bruno Simeone
language : en
Publisher: Springer
Release Date : 2006-11-14
Combinatorial Optimization written by Bruno Simeone and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Business & Economics categories.
The C.I.M.E. Summer School at Como in 1986 was the first in that series on the subject of combinatorial optimization. Situated between combinatorics, computer science and operations research, the subject draws on a variety of mathematical methods to deal with problems motivated by real-life applications. Recent research has focussed on the connections to theoretical computer science, in particular to computational complexity and algorithmic issues. The Summer School's activity centered on the 4 main lecture courses, the notes of which are included in this volume:
Partial Differential Operators
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Author : Fernando A. Cardoso
language : en
Publisher: Springer
Release Date : 2006-12-08
Partial Differential Operators written by Fernando A. Cardoso and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.
The Latin American School of Mathematics (ELAM) is one of the most important mathematical events in Latin America. It has been held every other year since 1968 in a different country of the region, and its theme varies according to the areas of interest of local research groups. The subject of the 1986 school was Partial Differential Equations with emphasis on Microlocal Analysis, Scattering Theory and the applications of Nonlinear Analysis to Elliptic Equations and Hamiltonian Systems.
Relativistic Fluid Dynamics
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Author : Angelo M. Anile
language : en
Publisher: Springer
Release Date : 2006-11-14
Relativistic Fluid Dynamics written by Angelo M. Anile and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Science categories.
In recent years the subject of relativistic fluid dynamics has found substantial applications in astrophysics and cosmology (theories of gravitational collapse, models of neutron stars, galaxy formation), as well as in plasma physics (relativistic fluids have been considered as models for relativistic particle beams) and nuclear physics (relativistic fluids are currently used in the analysis of the heavy ion reactions). Modern methods of analysis and differential geometry have now also been introduced. The International C.I.M.E. Course brought together expertise and interest from several areas (astrophysics, plasma physics, nuclear physics, mathematical methods) to create an appropriate arena for discussion and exchange of ideas. The main lecture courses introduced the most significant aspects of the subject and were delivered by leading specialists. The notes of these have been written up for this volume and constitute an up-to-date and thorough treatment of these topics. Several contributions from the seminars on specialized topics of complementary interest to the courses are also included.