Measures whose Integral Transforms are Pluriharmonic

DOI10.2307/2042675zbMath0407.43007OpenAlexW4243307962MaRDI QIDQ4193897

Clinton J. Kolaski

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2042675

zbMATH Keywords

Reproducing KernelAnalytic PolynomialsBergman and Poisson-Bergman KernelsClass K MeasurePluriharmonic

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Other transforms and operators of Fourier type (43A32) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)

Cites Work

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• Measures whose Poisson integrals are pluriharmonic
• Measures whose Poisson integrals are pluriharmonic. II
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• An F. and M. Riesz Type Theorem for the Unit Ball in Complex N-Space
• HOLOMORPHIC FUNCTIONS OF SEVERAL COMPLEX VARIABLES WITH NONNEGATIVE REAL PART. TRACES OF HOLOMORPHIC AND PLURIHARMONIC FUNCTIONS ON THE ŠILOV BOUNDARY
• The Theorems of F. and M. Riesz for Circular Sets.
• Theory of Reproducing Kernels

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