On the convergence of Fourier representations and Schwartz distributions

While Fourier theory remains a cornerstone for analyzing and interpreting the spectral content of diverse signals, its limitations often surface in practical applications. Notably, popular signals like sinusoids, Dirac deltas, signums, and unit steps lack convergent Fourier representations within th...

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Autori principali:	Pushpendra Singh, Amit Singhal, Binish Fatimah, Anubha Gupta, Shiv Dutt Joshi
Natura:	Artigo
Lingua:	Inglês
Pubblicazione:	Elsevier 2024-09-01
Serie:	Franklin Open
Soggetti:	Fourier series Fourier transform Schwartz distributions Gauss functions Tempered superexponential distribution
Accesso online:	http://www.sciencedirect.com/science/article/pii/S2773186324000859
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