Bergman spaces of higher-dimensional hyperbolic polyhedron-type domains I

✍ Scribed by D. Constales; R. S. Kraußhar

• Book ID: 102514025
• Publisher: John Wiley and Sons
• Year: 2005
• Tongue: English
• Weight: 137 KB
• Volume: 29
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.666

✦ Synopsis

Abstract

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.