The Bergman and Szegö kernels for separately monogenic functions

DOI10.4171/ZAA/384zbMath0703.30007OpenAlexW2371946527MaRDI QIDQ915903

Denis Constales

Publication date: 1990

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/384

zbMATH Keywords

Bergman kernelSzegö kernels

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Kernel functions in one complex variable and applications (30C40)

Related Items (8)

Bergman kernels for rectangular domains and multiperiodic functions in Clifford analysis ⋮ On slice biregular functions and isomorphisms of Bergman spaces ⋮ The Bergman-Sce transform for slice monogenic functions ⋮ Constructing three-dimensional mappings onto the unit sphere with the hypercomplex Szegő kernel ⋮ Reproducing kernel functions of solutions to polynomial Dirac equations in the annulus of the unit ball in \(\mathbb R^n\) and applications to boundary value problems ⋮ 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 \(\mathbb{R}^{n+1}\) ⋮ The C-property for slice regular functions and applications to the Bergman space

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