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Generalized Analytic Automorphic Forms in Hypercomplex Spaces (Frontiers in Mathematics) [Paperback]

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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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Item Specifications...


Pages   167
Est. Packaging Dimensions:   Length: 9.3" Width: 6.5" Height: 0.4"
Weight:   0.75 lbs.
Binding  Softcover
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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