On the zeros of the slice Bergman kernels for the upper half space and the unit ball on quaternions and Clifford algebras
type: Item
instance of: scholarly article
title: On the zeros of the slice Bergman kernels for the upper half space and the unit ball on quaternions and Clifford algebras
zbMATH Open document ID: 1364.30058
author: Jong-Do Park
published in: Complex Analysis and Operator Theory
publication date: 2017-04-20T00:00:00Z
Mathematics Subject Classification ID: 30G35
Mathematics Subject Classification ID: 32A25
zbMATH DE Number: 6706410
zbMATH Keywords: slice regular functions
zbMATH Keywords: slice monogenic functions
zbMATH Keywords: Bergman kernel
MaRDI profile type: Publication
full work available at URL: s11785-016-0550-7
OpenAlex ID: W2303901964
cites work: Gleason's problem and Schur multipliers in the multivariable quaternionic setting
cites work: The explicit forms and zeros of the Bergman kernel function for Hartogs type domains
cites work: Q5610508
cites work: Bloch, Besov and Dirichlet spaces of slice hyperholomorphic functions
cites work: Extension results for slice regular functions of a quaternionic variable
cites work: On Two Approaches to the Bergman Theory for Slice Regular Functions
cites work: The Bergman-Sce transform for slice monogenic functions
cites work: Further properties of the Bergman spaces of slice regular functions
cites work: An extension theorem for slice monogenic functions and some of its consequences
cites work: A note on the Bergman kernel
cites work: An explicit computation of the Bergman kernel function
cites work: The Bergman kernel of the symmetrized polydisc in higher dimensions has zeros
cites work: The Bergman kernel of the minimal ball and applications
cites work: Function theory of several complex variables
cites work: New formulas of the Bergman kernels for complex ellipsoids in $\mathbb {C}^2$
cites work: Explicit formulas of the Bergman kernel for 3-dimensional complex ellipsoids
DOI: 10.1007/S11785-016-0550-7
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description: scientific article; zbMATH DE number 6706410