Real, complex and functional analysis

Hermite Expansions of $C$-regularized cosine functions

R. A. Hassani, Y. Bajjou, A. Blali, A. El Amrani

Department of mathematics and computer science, Dhar El mahraz Faculty of Sciences, Sidi Mohamed Ben Abdellah University, Fès Atlas, Morocco

Abstract: The aim of this paper is to approximate the exponentially bounded $C$-regularized cosine function by the Hermite series, recalling the notions and the results used.

Keywords: Hermite functions, Hermite Expansions, $C$-regularized semigroup, $C$-regularized cosine functions.

UDC: 517.587

MSC: 47D60, 34G10, 47D03, 33C45

Received March 30, 2024, published December 25, 2024

Language: English

DOI: 10.33048/semi.2024.21.090