Title: Bergman Kernels for rectangular domains and Multiperiodic Functions in Clifford Analysis
Authors: Constales, Denis ×
Krausshar, Rolf Sören #
Issue Date: 2002
Publisher: John Wiley and Sons Ltd.
Series Title: Mathematical Methods in the Applied Sciences vol:25 issue:16-18 pages:1507-1526
Abstract: In this paper, we consider rectangular domains in real Euclidean spaces of dimension at least 2, where
the sides can be finite, semi-infinite, or fully infinite. The Bergman reproducing kernel for the space of monogenic and square integrable functions on such a domain is obtained in closed form as a finite sum of monogenic multiperiodic functions. The reproducing property leads to an estimate of the first derivative of the single-periodic cotangent function in terms of the classical real-valued Eisenstein series.
ISSN: 0170-4214
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Analysis Section
× corresponding author
# (joint) last author

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