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article · Journal of Numerical Analysis and Approximation Theory

Applications of the theory of generalized Fourier transforms to Tikhonov problems

20251 citationOpen accessUniversity of Tunis El Manar

Abstract

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.

Research topics

  • Mathematical Analysis and Transform Methods
  • Differential Equations and Boundary Problems
  • Algebraic and Geometric Analysis

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DOI: 10.33993/jnaat541-1539

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