Boundary value problems for linear partial differential equation with constant coefficients. Non-homogeneous equation in the halfplane

Jan Chrastina

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Boundary value problems for linear partial differential equation with constant coefficients. Homogeneous equation in the half plane

Jan Chrastina (1974)

Časopis pro pěstování matematiky

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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...