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Bergman spaces of higher‐dimensional hyperbolic polyhedron‐type domains I |
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| Authors: | D Constales R S Kraußhar |
| 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,?) to higher dimensions. Copyright © 2005 John Wiley & Sons, Ltd. |
| Keywords: | Bergman kernels Green's functions generalized Cauchy– Riemann equations generalized Poincaré series arithmetic subgroups of the Vahlen group hyperbolic polyhedron domains |