Analytic extension formulas, integral transforms and reproducing kernels

zbMATH Open0990.30006MaRDI QIDQ2749824

S. Saitoh

Publication date: 6 August 2002

zbMATH Keywords

Laplace transformreproducing kernelharmonic extensionlinear transformanalytic extension formulaRiemann mapping functionpartial differential equations of parabolic typepartial differential equations of hyperbolic type

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Laplace transform (44A10) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Dirichlet series, exponential series and other series in one complex variable (30B50) Kernel functions in one complex variable and applications (30C40)

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