Fourier-Laplace Transforms and the Bergman Spaces

DOI10.2307/2047346zbMath0653.32024OpenAlexW4240749050MaRDI QIDQ3798962

Saburou Saitoh

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047346

zbMATH Keywords

Bergman kernel functiontube domainmultidimensional Fourier-Laplace transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (max. 100)

Convex floating bodies as approximations of Bergman sublevel sets on tube domains ⋮ Transformation formulas for the Bergman kernels and projections of Reinhardt domains

Cites Work

• Kernfunktion und Hüllenbildung in der Funktionentheorie mehrerer Veränderlichen
• Integral transforms in Hilbert spaces
• Hilbert Spaces Induced by Hilbert Space Valued Functions
• The laplace transform ofL^pfunctions with weights^*
• Theory of Reproducing Kernels
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