Integrals of distributions
Roman Sikorski (1961)
Studia Mathematica
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Roman Sikorski (1961)
Studia Mathematica
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J. Mikusiński (1962)
Studia Mathematica
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L. Kubik (1963)
Studia Mathematica
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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...
M. Kłosowska (1972)
Studia Mathematica
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Bedřich Pondělíček (1969)
Czechoslovak Mathematical Journal
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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...
L. Kubik (1962)
Studia Mathematica
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Ho Dang Phuc (1981)
Annales de l'I.H.P. Probabilités et statistiques
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