Applications of the theory of generalized Fourier transforms to Tikhonov problems

We define and study multiplier operators associated with the Sturm-Liouville operator involving a nonnegative function satisfying certain conditions. We introduce and study the extremal function, and we deduce approximate inversion formulas for the multipliers operators in a Paley-Wiener type space.

Saved in:

Bibliographic Details
Published in:	Journal of numerical analysis and approximation theory Vol. 54; no. 1; pp. 170 - 190
Main Authors:	Soltani, Fethi, Nemri, Akram
Format:	Journal Article
Language:	English
Published:	Publishing House of the Romanian Academy 30.06.2025
Subjects:	approximate inversion formulas Paley-Wiener type space SL-multiplier operators
ISSN:	2457-6794, 2501-059X
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	We define and study multiplier operators associated with the Sturm-Liouville operator involving a nonnegative function satisfying certain conditions. We introduce and study the extremal function, and we deduce approximate inversion formulas for the multipliers operators in a Paley-Wiener type space.
ISSN:	2457-6794 2501-059X
DOI:	10.33993/jnaat541-1539