Hilbert spaces related to harmonic functions

DOI10.2748/TMJ/1178225416zbMath0847.46009OpenAlexW2105262044MaRDI QIDQ1915245

Keiko Fujita

Publication date: 16 June 1996

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225416

zbMATH Keywords

harmonic functionsFourier transformationHilbert space with a reproducing kernelPoisson transform of Sobolev space

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) (H^p)-spaces (42B30) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (1)

Some topics on the Gabor wavelet transformation

Cites Work

• Unnamed Item
• On the Fourier-Borel transformations of analytic functionals on the complex sphere
• On a Bargmann-type transform and a Hilbert space of holomorphic functions
• A Hilbert space of harmonic functions
• Analytic functionals and entire functionals on the complex light cone
• Fonctions harmoniques et spectre singulier

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