what is the sufficient and necessary condition to do Fourier transform

Asked Dec 08 '22 at 13:17

Active Dec 08 '22 at 13:17

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i know there is a sufficient condition: absolutely integrable & piecewise smooth, i want to know what is the sufficient and necessary condition to do Fourier transform for a function.

and what is the space of all function can do Fourier transform? What are the characteristics of this space?

asked Dec 08 '22 at 13:17

Aerterliusi

Tempered distributions ... but I suppose you don't know about that? – LL 3.14 Dec 08 '22 at 23:04
@LL3.14 no, i don't know that. can you say the concepts(tempered distributions) easily? or can you give me more key words to search? – Aerterliusi Dec 10 '22 at 10:46

what is the sufficient and necessary condition to do Fourier transform

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