On some inversion formulas for riesz potentials and κ-plane transforms

Boris Rubin

doi:10.2478/s13540-012-0004-5

On some inversion formulas for riesz potentials and κ-plane transforms

Boris Rubin^*

^*Corresponding author for this work

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

5 Scopus citations

Abstract

New proofs are given to some approximate and explicit inversion formulas for the Riesz potentials. The results are applied to reconstruction of functions from their integrals over κ-dimensional planes in R ⁿ.

Original language	English
Pages (from-to)	34-43
Number of pages	10
Journal	Fractional Calculus and Applied Analysis
Volume	15
Issue number	1
DOIs	https://doi.org/10.2478/s13540-012-0004-5
State	Published - Mar 2012
Externally published	Yes

Keywords

Radon transforms
Riesz potentials
Wavelet transforms

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10.2478/s13540-012-0004-5

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abstract = "New proofs are given to some approximate and explicit inversion formulas for the Riesz potentials. The results are applied to reconstruction of functions from their integrals over κ-dimensional planes in R n.",

keywords = "Radon transforms, Riesz potentials, Wavelet transforms",

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year = "2012",

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KW - Radon transforms

KW - Riesz potentials

KW - Wavelet transforms

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On some inversion formulas for riesz potentials and κ-plane transforms

Abstract

Keywords

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