On Fourier transformation of a class of entire functions

DOI10.13108/2014-6-4-108zbMath1463.32005OpenAlexW2333710424MaRDI QIDQ5137208

Marat I. Musin, Il'dar Khamitovich Musin

Publication date: 2 December 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa264

zbMATH Keywords

Fourier transformconvex functionsentire functionsGelfand-Shilov spaces

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Entire functions of several complex variables (32A15)

Cites Work

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• Equivalence of the Gelfand-Shilov spaces
• On the Laplace transform of functionals in the Bergman weight space of entire functions in \({\mathbb{C}}^n\)
• Characterizations of the Gelfand-Shilov spaces via Fourier transforms