دانلود کتاب Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory

Name: Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory
Availability: InStock
Author: Juergen Elstrodt
ISBN: 9783540627456, 3540627456

by Juergen Elstrodt, Fritz Grunewald, Jens Mennicke

عنوان فارسی: گروه بازیگری در فضای هذلولی: آنالیز هارمونیک و نظریه اعداد
ناشر: Springer
سال: 1997
ویرایش: 1
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 272-272
شابک: 9783540627456, 3540627456
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 21.00 مگابایت

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جزییات کتاب

This book deals with a broad range of topics from the theory of automorphic functions on three-dimensional hyperbolic space and its arithmetic group theoretic and geometric ramifications. Starting off with several models of hyperbolic space and its group of motions the authors discuss the spectral theory of the Laplacian and Selberg's theory for cofinite groups. This culminates in explicit versions of the Selberg trace formula and the Selberg zeta-function. The interplay with arithmetic is demonstrated by means of the groups PSL(2) over rings and of quadratic integers, their Eisenstein series and their associated Hermitian forms. A rich chapter on concrete examples of arithmetic and non-arithmetic cofinite groups enhances the usefulness of this work for a wide circle of mathematicians.