On Fourier transforms of distributions with one-sided bounded carriers
Z. Zieleźny (1964)
Studia Mathematica
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Z. Zieleźny (1964)
Studia Mathematica
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Anna Cichocka (1998)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Schmeelk, John (1990)
International Journal of Mathematics and Mathematical Sciences
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G. Temple, Z. Zieleźny (1963)
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W. Kierat (1984)
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B. Fisher, Li Chen Kuan, A. Takači (1988)
Matematički Vesnik
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Colin C. Graham (1976)
Colloquium Mathematicae
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Martha Guzmán-Partida (2010)
Commentationes Mathematicae Universitatis Carolinae
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We give sufficient conditions for the support of the Fourier transform of a certain class of weighted integrable distributions to lie in the region and .
S. Hartman (1975)
Colloquium Mathematicae
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Louis Pigno (1981)
Colloquium Mathematicae
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Dragu Atanasiu, Piotr Mikusiński (2007)
Colloquium Mathematicae
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We introduce some spaces of generalized functions that are defined as generalized quotients and Boehmians. The spaces provide simple and natural frameworks for extensions of the Fourier transform.
Jasson Vindas, Ricardo Estrada (2007)
Studia Mathematica
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We study the class of distributions in one variable that have distributional lateral limits at every point, but which have no Dirac delta functions or derivatives at any point, the "distributionally regulated functions." We also consider the related class where Dirac delta functions are allowed. We prove several results on the boundary behavior of functions of two variables F(x,y), x ∈ ℝ, y>0, with F(x,0⁺) = f(x) distributionally, both near points where the distributional point value...