A remark on the Laplace transform

DOI10.1134/S0037446620040151zbMath1451.42010OpenAlexW3045935180MaRDI QIDQ2203450

W. Chelkh, Ibrahim Ly, Nikolai N. Tarkhanov

Publication date: 7 October 2020

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

Full work available at URL: https://doi.org/10.1134/s0037446620040151

zbMATH Keywords

Fourier-Laplace transformholomorphic functionanalytic functionaldistributions with one-sided support

Mathematics Subject Classification ID

Heat equation (35K05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

• A nonstandard Cauchy problem for the heat equation
• Analytic functions and the Fourier transform of distributions. I, II
• Les fonctions analytiques comme ultradistributions dans le calcul opérationnel
• On Fourier Transforms of Distributions with One-Sided Bounded Support
• Generalized paley–wiener theorem and generalized convolution associated with the differential operator in the complex domain
• Characterizations of the Gelfand-Shilov spaces via Fourier transforms
• A note on holomorphic functions and the Fourier-Laplace transform
• On Carleman-type Formulas for Solutions to the Heat Equation
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