Displaying similar documents to “On multiplication of some generalized functions”

On the support of Fourier transform of weighted distributions

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 x 1 ≥ 0 and x 2 ≥ 0 .

Distributionally regulated functions

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...