Article
Licensed
Unlicensed
Requires Authentication
The Bergman Kernels for the half-ball and for fractional wedge-shaped domains in Clifford Analysis
-
Denis Constales
Published/Copyright:
September 9, 2005
Abstract
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.
:
Published Online: 2005-09-09
Published in Print: 2005-09-19
Walter de Gruyter GmbH & Co. KG
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Degree eleven projective manifolds of dimension greater than or equal to three
- The geometry of certain cocycles associated to derivatives of L-functions
- On the theory of nonlinear singular integral equations with shift in Hölder spaces
- Impulsive systems and behaviors in the theory of linear dynamical systems
- The Bergman Kernels for the half-ball and for fractional wedge-shaped domains in Clifford Analysis
- The Bonnet Plancherel formula for normal monomial representations of exponential solvable Lie groups
- The kernel of a linear algebraic semigroup
Articles in the same Issue
- Degree eleven projective manifolds of dimension greater than or equal to three
- The geometry of certain cocycles associated to derivatives of L-functions
- On the theory of nonlinear singular integral equations with shift in Hölder spaces
- Impulsive systems and behaviors in the theory of linear dynamical systems
- The Bergman Kernels for the half-ball and for fractional wedge-shaped domains in Clifford Analysis
- The Bonnet Plancherel formula for normal monomial representations of exponential solvable Lie groups
- The kernel of a linear algebraic semigroup
