Item description for Generalized Analytic Automorphic Forms in Hypercomplex Spaces (Frontiers in Mathematics) by Rolf S. Krausshar...
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.
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Est. Packaging Dimensions: Length: 9.3" Width: 6.5" Height: 0.4" Weight: 0.75 lbs.
Release Date May 27, 2004
Publisher Birkhäuser Basel
ISBN 3764370599 ISBN13 9783764370596
Availability 52 units. Availability accurate as of May 27, 2017 12:14.
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