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1988 | OriginalPaper | Buchkapitel

S-Asymptotic of Distributions

verfasst von : Bogoljub Stanković

Erschienen in: Generalized Functions, Convergence Structures, and Their Applications

Verlag: Springer US

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In the last thirty years many definitions of the asymptotoic behaviour of distributions have been presented. We can roughly divide them in two sets. To the first one belong those definitions which directly use the classical definition of the asymptotic behaviour of a numerical function. The distribution T has to be equal to a numerical function f or to a derivative, in the sense of distributions, of a numerical functions, DPf, in a neighbourhood of infinity. The behaviour of the distribution at infinity is in reality the behaviour of the function f or corrected by p. All of these definitions are basically given in the one dimensional case.

Metadaten
Titel
S-Asymptotic of Distributions
verfasst von
Bogoljub Stanković
Copyright-Jahr
1988
Verlag
Springer US
DOI
https://doi.org/10.1007/978-1-4613-1055-6_6