Generalized Analytic Automorphic Forms in Hypercomplex Spaces

Name: Generalized Analytic Automorphic Forms in Hypercomplex Spaces
Brand: Birkhauser Verlag AG
SKU: 9783764370596
Price: 304.89 RON
Availability: InStock

Autor: S. Krausshar

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Editura: Birkhauser Verlag AG

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304.89 lei

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

Informații despre carte

Autor

S. Krausshar

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2004

Pagini

168

EAN

9783764370596

ISBN

3764370599

Enbook ID

01716676

Editura

Birkhauser Verlag AG

Greutate

740

Dimensiuni

178 x 254 x 11

Descriere completă

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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Generalized Analytic Automorphic Forms in Hypercomplex Spaces

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