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Generalized Analytic Automorphic Forms In Hypercomplex Spaces 1st Edition Rolf Sren Krausshar Auth

  • SKU: BELL-4292750
Generalized Analytic Automorphic Forms In Hypercomplex Spaces 1st Edition Rolf Sren Krausshar Auth
$ 31.00 $ 45.00 (-31%)

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Generalized Analytic Automorphic Forms In Hypercomplex Spaces 1st Edition Rolf Sren Krausshar Auth instant download after payment.

Publisher: Birkhäuser Basel
File Extension: PDF
File size: 1.09 MB
Pages: 168
Author: Rolf Sören Krausshar (auth.)
ISBN: 9783764370596, 9783764378042, 3764370599, 3764378042
Language: English
Year: 2004
Edition: 1

Product desciption

Generalized Analytic Automorphic Forms In Hypercomplex Spaces 1st Edition Rolf Sren Krausshar Auth by Rolf Sören Krausshar (auth.) 9783764370596, 9783764378042, 3764370599, 3764378042 instant download after payment.

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.

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