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Generalized Analytic Automorphic Forms in Hypercomplex Spaces (Paperback, 2004 ed.) Loot Price: R1,701
Discovery Miles 17 010
Generalized Analytic Automorphic Forms in Hypercomplex Spaces (Paperback, 2004 ed.): Rolf S. Krausshar

Generalized Analytic Automorphic Forms in Hypercomplex Spaces (Paperback, 2004 ed.)

Rolf S. Krausshar

Series: Frontiers in Mathematics

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Loot Price R1,701 Discovery Miles 17 010 | Repayment Terms: R159 pm x 12*

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This book describes the basic theory of hypercomplex-analytic automorphic forms and functions for arithmetic subgroups of the Vahlen group in higher dimensional spaces.

Hypercomplex analyticity generalizes the concept of complex analyticity in the sense of considering null-solutions to higher dimensional Cauchy-Riemann type systems. Vector- and Clifford algebra-valued Eisenstein and Poincar series are constructed within this framework and a detailed description of their analytic and number theoretical properties is provided. In particular, explicit relationships to generalized variants of the Riemann zeta function and Dirichlet L-series are established and a concept of hypercomplex multiplication of lattices is introduced.

Applications to the theory of Hilbert spaces with reproducing kernels, to partial differential equations and index theory on some conformal manifolds are also described.

General

Imprint: Birkhauser Verlag AG
Country of origin: Switzerland
Series: Frontiers in Mathematics
Release date: February 2004
First published: 2004
Authors: Rolf S. Krausshar
Dimensions: 254 x 178 x 10mm (L x W x T)
Format: Paperback
Pages: 168
Edition: 2004 ed.
ISBN-13: 978-3-7643-7059-6
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
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LSN: 3-7643-7059-9
Barcode: 9783764370596

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