Improper integrals of distributions

Ryszard Wawak

Displaying similar documents to “Improper integrals of distributions”

Convultion and S-Convultion of distributions.

Peter Dierolf, Jürgen Voigt (1978)

Collectanea Mathematica

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Sequential theory of the convolution of distributions

J. Mikusiński (1968)

Studia Mathematica

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Convolution and S' - Convolution of Distributions

Dierolf, Peter, Voigt, Jürgen

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Integrals of distributions

Roman Sikorski (1961)

Studia Mathematica

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Distributions that are functions

Ricardo Estrada (2010)

Banach Center Publications

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It is well-known that any locally Lebesgue integrable function generates a unique distribution, a so-called regular distribution. It is also well-known that many non-integrable functions can be regularized to give distributions, but in general not in a unique fashion. What is not so well-known is that to many distributions one can associate an ordinary function, the function that assigns the distributional point value of the distribution at each point where the value exists, and that...

A note on the convolution and the product $𝒟^{'}$ and $𝒮^{'}$ .

Kamiński, A., Rudnicki, R. (1991)

International Journal of Mathematics and Mathematical Sciences

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The elementary theory of distributions (II)

Jan Mikusiński, Roman Sikorski

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CONTENTS Introduction................................................................................... 3 § 1. Terminology and notation.................................................................................... 4 § 2. Uniform and almost uniform convergence....................................................... 6 § 3. Fundamental sequences of smooth functions............................................... 6 § 4. The definition of distributions................................................................................

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 $x_{1} \geq 0$ and $x_{2} \geq 0$ .

Convolution, product and Fourier transform of distributions

A. Kamiński (1982)

Studia Mathematica

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The elementary theory of distributions (I)

Jan Mikusiński, Roman Sikorski

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CONTENTS Introduction........................................................................................................... 3 § 1. The abstraction principle............................................................................... 4 § 2. Fundamental sequences of continuous functions......................................... 5 § 3. The definition of distributions........................................................................ 9 § 4. Distributions as a generalization of...