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Can I read The Bergman Kernels for the half-ball and for fractional wedge-shaped domains in Clifford Analysis on EtoBox?
The Bergman Kernels for the half-ball and for fractional wedge-shaped domains in Clifford Analysis by Denis Constales; Rolf Sören Kraußhar is a Mathematics article available to read on EtoBox.
What is The Bergman Kernels for the half-ball and for fractional wedge-shaped domains in Clifford Analysis about?
We compute the Bergman reproducing kernel for monogenic functions for half-ball, more general orthogonal ball sectors, and for fractional wedge domains. In the results we obtain the terms to be expected from analogy with complex analysis, viz in the first case the Bergman kernels for the half-space and the entire ball, and in the second the sum of rotated half-space Bergman kernels, but in both cases there also occur supplementary, purely hypercomplex correction terms. Finally, applying a periodisation argument we obtain closed and explicit formulas for the Bergman kernels of wedge shaped domains that are rectangularly bounded.
Who reads The Bergman Kernels for the half-ball and for fractional wedge-shaped domains in Clifford Analysis?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Denis Constales; Rolf Sören Kraußhar
- Publisher
- Walter de Gruyter GmbH
- Published
- 2005
- Language
- EN
- Field
- Mathematics (Physical Sciences)