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Monogenic Modular Forms in Two and Several Real and Complex Vector Variables

Monogenic Modular Forms in Two and Several Real and Complex Vector Variables In this paper we deal with monogenic and k-monogenic Clifford-valued automorphic forms in two and several vector variables. We focus on the construction of several families of Eisenstein and Poincaré series within the setting of this function theory. The functions that we construct provide non-trivial examples for generalizations of the classical Hilbert modular forms within the framework of real and complex Clifford analysis. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Monogenic Modular Forms in Two and Several Real and Complex Vector Variables

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Publisher
Springer Journals
Copyright
Copyright © Heldermann  Verlag 2002
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/bf03321851
Publisher site
See Article on Publisher Site

Abstract

In this paper we deal with monogenic and k-monogenic Clifford-valued automorphic forms in two and several vector variables. We focus on the construction of several families of Eisenstein and Poincaré series within the setting of this function theory. The functions that we construct provide non-trivial examples for generalizations of the classical Hilbert modular forms within the framework of real and complex Clifford analysis.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Jan 1, 2004

Keywords: Monogenic Hilbert modular forms; biregular functions; Clifford analysis; several iterated Dirac operators; higher dimensional automorphic forms; 30G35; 11F03; 11F41; 11M36

References