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Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory (Springer...

Home > Mathematics Books > Hyperbolics > Item 12

	Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory (Springer...
	by Juergen Elstrodt, Fritz Grunewald, and Jens Mennicke Sales Rank: 1563389	List Price: ~~$159.00~~ $126.44 At Amazon on 12-6-2008

Hardcover: 524 pages Publisher: Springer; 1 edition November 25, 1997 Language: English ISBN-10: 3540627456 ISBN-13: 978-3540627456 Product Dimensions: 9.3 x 5.9 x 1.4 inches Shipping Weight: 2 pounds *Product Description* 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.
Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory (Springer... Available from Amazon Price: $126.44 Updated on 12-6-2008

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