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.

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of numerical analysis and approximation theory Jg. 54; H. 1; S. 170 - 190
Hauptverfasser:	Soltani, Fethi, Nemri, Akram
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Publishing House of the Romanian Academy 30.06.2025
Schlagworte:	approximate inversion formulas Paley-Wiener type space SL-multiplier operators
ISSN:	2457-6794, 2501-059X
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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