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On the Weierstrass transform for distributions - MaRDI portal

On the Weierstrass transform for distributions (Q2731018)

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scientific article; zbMATH DE number 1625359
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On the Weierstrass transform for distributions
scientific article; zbMATH DE number 1625359

    Statements

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    29 July 2001
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    Laplace transform of distributions
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    Weierstrass transform of distributions
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    analyticity
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    inversion formula
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    On the Weierstrass transform for distributions (English)
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    Analogously to the definition of the Laplace transform of distributions by \textit{D. B. Price} [SIAM J. Math. Anal. 6, 49-80 (1975; Zbl 0268.46040)] the author defines the Weierstrass transform of distributions. Then the analyticity of the transform in some vertical strip of the complex plane is proved and an inversion formula is derived.
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