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Generalized Analytic Automorphic Forms in Hypercomplex Spaces

Name: Generalized Analytic Automorphic Forms in Hypercomplex Spaces
Brand: Birkhauser Verlag AG
SKU: 01716676
Price: 56.81 EUR
Availability: InStock
Author: S. Krausshar
ISBN: 9783764370596

S. Krausshar

Language

English

Book Paperback

Libristo code: 01716676

Publishers Birkhauser Verlag AG, February 2004

This book describes the basic theory of hypercomplex-analytic automorphic forms and functions for ar... Full description

Libristo code: 01716676

137 b

56.81 €

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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 Poincaré 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.