Bergman spaces of higher‐dimensional hyperbolic polyhedron‐type domains I
Copyright policy )Bergman spaces of higher‐dimensional hyperbolic polyhedron‐type domains I
AbstractIn 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.
- Ghent University Belgium
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
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
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