We prove equiconvergence of the Bochner-Riesz means of the Fourier series and integral of distributions with compact support from the Liouville spaces. Convergence of the Fourier series and integral ...

I have mentioned Fourier transforms in other posts but it is probably worthwhile explaining more about Fourier transforms in order to show why I think they are so important to analog signal processing ...

Abstract: The object of this introduction is to give the reader an idea of the various kinds of problems in which the Fourier series or integral is useful, and to discuss not only the essential ...

Abstract: This work presents a novel numerical inverse Fourier transform for electromagnetic transient analysis emphasizing the lightning phenomena. The inverse Fourier integral is separated into ...

ABSTRACT: The dynamics of a fractionalized semi-linear scalar differential equation is considered with a Caputo fractional derivative. By using a symbolic operational method, a fractional order ...