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APRG Seminar

Title: A note of Titchmarsh theorem and approximation theory on the sphere
Speaker: Radouan Daher (University of Hassan II, Morocco)
Date: 24 March 2021
Time: 4 pm
Venue: Microsoft Teams (online)

Our aim in this talk is to prove an analog of the classical Titchmarsh theorem on the image under the discrete Fourier-Laplace transform of a set of functions satisfying a generalized Lipschitz condition in the space $L_p, 1 < p \leq 2$ on the sphere. We also prove analogues of Jackson’s direct theorem for the moduli of smoothness of all orders constructed on the basis of spherical shift. Finally, we prove equivalence between moduli of smoothness and $K$-functional for the couple $(L^2 (\sigma^{m-1} ), W^r_2 (\sigma^{m-1} ))$.

This is joint work with S. El Ouadih, O. Tyr and F. Saadi.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 29 Feb 2024