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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Bibliografiske detaljer

Principais autores:	Pushpendra Singh, Amit Singhal, Binish Fatimah, Anubha Gupta, Shiv Dutt Joshi
Format:	Artigo
Sprog:	Inglês
Udgivet:	Elsevier 2024-09-01
Serier:	Franklin Open
Fag:	Fourier series Fourier transform Schwartz distributions Gauss functions Tempered superexponential distribution
Online adgang:	http://www.sciencedirect.com/science/article/pii/S2773186324000859
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