We deal with integral equations with a singular kernel of Carlman type. A method to approach to the solution of these equations is given. Infinite matrix theory is used to determine the Fourier coefficients of the solution in the expansion in a series of orthogonal polynomials.

Application of the infinite matrix theory to the solvability of singular integral equations

2023

Abstract

We deal with integral equations with a singular kernel of Carlman type. A method to approach to the solution of these equations is given. Infinite matrix theory is used to determine the Fourier coefficients of the solution in the expansion in a series of orthogonal polynomials.
2023
Istituto Applicazioni del Calcolo ''Mauro Picone''
Infinite linear system of linear equations
Hilbert operator
Fourier expansion
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/459869
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