Timeline for Decay of the Fourier transform
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
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| Dec 3, 2010 at 10:45 | comment | added | Zen Harper | I like the book by Koosis, Introduction to $H_p$ Spaces. The one I have is the second edition by Cambridge University Press from 1998 which definitely does have a nice discussion on the Paley-Wiener Theorem (and many other topics), which should be adaptable to this without too much difficulty (it might even show this exactly, I'll have to check). It needs a little bit of complex analysis, i.e. a Phragmen-Lindelof theorem or similar. | |
| Oct 30, 2010 at 18:02 | comment | added | Andrey Rekalo | Hmm... A short outline of the proof is given in Problem 76 in Chapter IX. I will update my answer as soon as I find a better reference. | |
| Oct 30, 2010 at 17:35 | vote | accept | alext87 | ||
| Oct 30, 2010 at 17:35 | vote | accept | alext87 | ||
| Oct 30, 2010 at 17:35 | |||||
| Oct 30, 2010 at 17:35 | comment | added | alext87 | In this book Theorem IX.14 is the one I want! Thanks! The proof isn't given though... would you have any suggests on where to look. Thanks!! :) | |
| Oct 30, 2010 at 17:17 | history | edited | Andrey Rekalo | CC BY-SA 2.5 |
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| Oct 30, 2010 at 17:10 | history | edited | Andrey Rekalo | CC BY-SA 2.5 |
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| Oct 30, 2010 at 17:04 | history | answered | Andrey Rekalo | CC BY-SA 2.5 |