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Displaying similar documents to “The Quasiasymptotic Expansion and the Moment Expansion of Tempered Distributions”

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...