Generalized Solutions of Singular Integral Equationsand Inversion Formulas

Inversion formulas for a number of singular integral equations in classes of generalized functions that are continuous linear functionals on the closed linear spans of systems of orthogonal polynomials are obtained.

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Publication Details

Journal
Differential Equations
Published
2025-09-01
DOI
https://doi.org/10.1134/s0012266125090071
Primary Topic
Mathematical functions and polynomials
Type
article
Field-Weighted Citation Impact
0.00
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article

Generalized Solutions of Singular Integral Equationsand Inversion Formulas

N. B. Pleshchinskii
Differential Equations
Mathematical functions and polynomials
article

Generalized Solutions of Singular Integral Equationsand Inversion Formulas

N. B. Pleshchinskii
article en

Abstract

Inversion formulas for a number of singular integral equations in classes of generalized functions that are continuous linear functionals on the closed linear spans of systems of orthogonal polynomials are obtained.

Differential EquationsVol. 61(9)
Kazan Federal University (RU)
Openalex Percentile: Top 17%
Mathematical functions and polynomials
DOISourceOpenAlex
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Generalized Solutions of Singular Integral Equationsand Inversion Formulas — N. B. Pleshchinskii · Differential Equations (2025) | TGRS Research Map | TGRS