Fourier-Laplace transformation of functionals on a weighted space of infinitely smooth functions

DOI10.1070/SM2000V191N10ABEH000516zbMath0986.46014arXivmath/9911067MaRDI QIDQ2710736

Il'dar Khamitovich Musin

Publication date: 6 June 2002

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9911067

zbMATH Keywords

projective limitsubharmonic functiontopology of uniform convergence on compact subsetsFourier-Laplace transformationYoung transformconversion formulaweighted space of infinitely smooth functions

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Spaces of bounded analytic functions of one complex variable (30H05) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Related Items (5)

Solvability of the inhomogeneous Cauchy-Riemann equation in projective weighted spaces ⋮ Generalized Fourier transform and its applications ⋮ Approximation of infinitely differentiable functions on the real line by polynomials in weighted spaces ⋮ On Fourier - Laplace transform of a class of generalized functions ⋮ A theorem of Paley-Wiener type for ultradistributions

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