Timeline for Fourier transforms of functions not in $L^2.$

8 events

when toggle format	what		by	license	comment
Apr 23, 2012 at 13:57	history	edited	paul garrett	CC BY-SA 3.0	added 13 characters in body
Apr 22, 2012 at 20:34	history	edited	paul garrett	CC BY-SA 3.0	added 69 characters in body; added 64 characters in body
Apr 22, 2012 at 14:00	comment	added	Bazin		I disagree with Paul Garrett answer: the Fourier transform of $\vert x\vert^s$ on $\mathbb R^n$ is a constant multiple of $$ \vert x\vert^{-s-n}, $$ not $\vert x\vert^{s-n}$ as written in his answer. To have both sides locally integrable, we need $$ -n<\Re s<0. $$ Bazin.
Nov 14, 2011 at 16:44	vote	accept	Igor Rivin
Nov 14, 2011 at 16:44	comment	added	Igor Rivin		Ah, the edit is very illuminating!
Nov 14, 2011 at 15:42	history	edited	paul garrett	CC BY-SA 3.0	added 1399 characters in body
Nov 14, 2011 at 15:23	comment	added	Igor Rivin		Yes, I am aware of why this is defined, what I wonder about is how does one actually go about computing these things.
Nov 14, 2011 at 14:37	history	answered	paul garrett	CC BY-SA 3.0