Applications of the theory of generalized Fourier transforms to Tikhonov problems
DOI:
https://doi.org/10.33993/jnaat541-1539Keywords:
SL-multiplier operators, Paley-Wiener type space, approximate inversion formulasAbstract
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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