On Fourier transforms of functions of bounded type in tubular domains

DOI10.1134/S0037446616060173zbMath1361.32009OpenAlexW2564461832MaRDI QIDQ515501

F. A. Shamoyan

Publication date: 16 March 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446616060173

zbMATH Keywords

Fourier transformfunctions of bounded typetubular domains

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (1)

Boundary quasi-analyticity and a Phragmén–Lindelöf type theorem in classes of functions of bounded type in tubular domains

Cites Work

• Characterization of the rate of decay for the Fourier coefficients of functions of bounded characteristic and the classes of analytic functions with infinitely differentiable boundary values
• On Fourier transforms of functions of the R. Nevanlinna class in the half-plane
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