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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2021 Volume 198, Pages 96–102 (Mi into879)

On points of strong summability of trigonometric integrals

N. L. Pachulia

Abkhazian State University

Abstract: In this paper, we prove the $\varphi$-strong Vallée-Poussin summability of the Fourier integral of a function $f\in L_{p}$, $p>1$, at its Lebesgue $p$-point.

Keywords: Fourier series, Fourier integral, Fourier transformation, strong summability.

UDC: 517.5

MSC: 42A24, 42B05

DOI: 10.36535/0233-6723-2021-198-96-102



© Steklov Math. Inst. of RAS, 2024