Multidimensional fractional integrals and distributions

Adam C. Mcbride; Boris Rubin

doi:10.1080/10652469508819064

Multidimensional fractional integrals and distributions

Adam C. Mcbride
, Boris Rubin

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

New spaces of generalised functions on Rⁿ are introduced. These spaces generalise corresponding spaces on R₊ studied previously by the first author. Basic properties are obtained in preparation for a study of fractional integrals, including Riesz potentials, in a companion paper.

Original language	English
Pages (from-to)	21-36
Number of pages	16
Journal	Integral Transforms and Special Functions
Volume	3
Issue number	1
DOIs	https://doi.org/10.1080/10652469508819064
State	Published - Mar 1995

Keywords

fractional integral
generalized function
test function

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title = "Multidimensional fractional integrals and distributions",

abstract = "New spaces of generalised functions on Rn are introduced. These spaces generalise corresponding spaces on R+ studied previously by the first author. Basic properties are obtained in preparation for a study of fractional integrals, including Riesz potentials, in a companion paper.",

keywords = "fractional integral, generalized function, test function",

author = "Mcbride, \{Adam C.\} and Boris Rubin",

year = "1995",

month = mar,

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KW - test function

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Multidimensional fractional integrals and distributions

Abstract

Keywords

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