Inversion of the Mixed Riesz Hyperbolic B-Potentials

Shishkina, Elina

doi:10.12732/ijam.v30i6.3

Cited by 11 publications

(2 citation statements)

References 19 publications

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“…Mixed hyperbolic Riesz B-potential was studied in [23][24][25]. Here we provide a definition of the mixed hyperbolic Riesz B-potential and give some separation results that we will use in the next section.…”

Section: Mixed Hyperbolic Riesz B-potential and Its Inversionmentioning

confidence: 99%

Inversion of the Weighted Spherical Mean

Shishkina¹

2020

Preprint

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The paper contains the inversion formula for the weighted spherical mean. The interest to reconstruction a function by its integral by sphere grews tremendously in the last six decades, stimulated by the spectrum of new problems and methods of image reconstruction. We consider a generalization of the classical spherical mean and its inverse in the case when generalized translation acts to function instead of regular. As a particular case this problem includes action of spherical means on radially symmetric functions.

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Section: Mixed Hyperbolic Riesz B-potential and Its Inversionmentioning

confidence: 99%

Inversion of the Weighted Spherical Mean

Shishkina¹

2020

Preprint

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“…The associated wavefunction is commonly used to explain the behavior of mi-coscopic systems. The exact solutions of the Schrödinger equation are limited to some few particular cases (see [22], [26], [21], [12], [11], [14], [2], and [6]). It is often that we use to approximate complicated potentials with simple known potential in order to catch the main physical proprieties of the system.…”

Section: Introductionmentioning

confidence: 99%