Bergman kernels for rectangular domains and multiperiodic functions in Clifford analysis

DOI10.1002/mma.385zbMath1013.30035OpenAlexW2032559619MaRDI QIDQ4795148

Denis Constales, Rolf Sören Krausshar

Publication date: 23 February 2003

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.385

zbMATH Keywords

Clifford analysisBergman kernelsmultiperiodic functionBergman reproducing

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (8)

A 3-dimensional Bergman kernel method with applications to rectangular domains ⋮ On slice biregular functions and isomorphisms of Bergman spaces ⋮ The Bergman-Sce transform for slice monogenic functions ⋮ Contragenic functions of three variables ⋮ Hilbert spaces of solutions to polynomial Dirac equations, Fourier transforms and reproducing kernel functions for cylindrical domains ⋮ Explicit formulas for the Green's function and the Bergman kernel for monogenic functions in annular shaped domains in \(\mathbb{R}^{n+1}\) ⋮ Clifford and harmonic analysis on cylinders and tori ⋮ The C-property for slice regular functions and applications to the Bergman space

Cites Work

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• On the Bergmann kernel function in hyperholomorphic analysis
• The Bergman and Szegö kernels for separately monogenic functions
• Monogenic muitiperiodic functions in clifford analysis
• Szegö and Polymonogenic Bergman Kernels for Half-Space and Strip Domains, and Single-Periodic Functions in Clifford Analysis
• The Bergman Kernels for the half-ball and for fractional wedge-shaped domains in Clifford Analysis
• Hypercomplex Function Theory and Hilbert Modules with Reproducing Kernel
• CLOSED FORMULAS FOR SINGLY-PERIODIC MONOGENIC COTANGENT, COSECANT AND COSECANT-SQUARED FUNCTIONS IN CLIFFORD ANALYSIS
• Theory of Reproducing Kernels

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