• Bergman spaces of higher‐dimen...

Treffer: Bergman spaces of higher‐dimensional hyperbolic polyhedron‐type domains I: Bergman spaces of higher-dimensional hyperbolic polyhedron-type domains. I

Title:
Bergman spaces of higher‐dimensional hyperbolic polyhedron‐type domains I: Bergman spaces of higher-dimensional hyperbolic polyhedron-type domains. I
Authors:
Denis Constales, R. S. Kraußhar
Source:
Mathematical Methods in the Applied Sciences. 29:85-98
Publisher Information:
Wiley, 2005.
Publication Year:
2005
Subject Terms:
hyperbolic polyhedron domains, Functions of hypercomplex variables and generalized variables, generalized Cauchy-Riemann equations, Green's functions, monogenic Bergman spaces of Clifford algebra-valued functions, generalized Poincaré series, generalized higher-dimensional modular figures, arithmetic subgroups of the Vahlen group, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Bergman kernels, 0101 mathematics, 01 natural sciences
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Language:
English
ISSN:
1099-1476
0170-4214
DOI:
10.1002/mma.666
Access URL:
https://zbmath.org/2246535
https://doi.org/10.1002/mma.666
https://biblio.ugent.be/publication/330481
http://ui.adsabs.harvard.edu/abs/2006MMAS...29...85C/abstract
Rights:
Wiley Online Library User Agreement
Accession Number:
edsair.doi.dedup.....e06efd54adf98f7c7fc2b13efb85f6a4
Database:
OpenAIRE

Weitere Informationen

In this paper we develop explicit formulas for the Green's function and the monogenic reproducing Bergman kernel function of some hyperbolic polyhedron‐type domains that generalize the fundamental domain of the modular group SL(2,ℤ) to higher dimensions. Copyright © 2005 John Wiley & Sons, Ltd.