Timeline for Eigenvectors of the Fourier transformation
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
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| May 11, 2016 at 12:45 | comment | added | Carlo Beenakker | @davyjones -- condition on $f$ added, thanks for the pointer | |
| May 11, 2016 at 12:45 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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| May 11, 2016 at 12:39 | comment | added | davyjones | It needs to be pointed out that $f$ should be an even function. In the Nosratinia paper it is assumed "positive semi-definite", and hence even a.e. | |
| May 10, 2016 at 21:02 | comment | added | Emilio Pisanty | Well, indeed it would. That's pretty clever, thanks for that. | |
| May 10, 2016 at 20:21 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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| May 10, 2016 at 20:17 | comment | added | Carlo Beenakker | @EmilioPisanty -- one member of the equivalence class can indeed be recovered immediately, $f=\sqrt{F/2}$; for a particular example Nosratinia constructs a one-parameter family of solutions to $F=f^2+\hat{f}\star\hat{f}$, but there may be more. | |
| May 10, 2016 at 20:14 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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| May 10, 2016 at 19:46 | comment | added | Emilio Pisanty | Are there results on the size of the equivalence classes of $f$s that will yield the same $F$s? Can $f$ be recovered from $F$, or at least some member of the class? | |
| May 10, 2016 at 15:40 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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| May 10, 2016 at 13:22 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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| May 10, 2016 at 13:09 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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| May 10, 2016 at 13:03 | history | answered | Carlo Beenakker | CC BY-SA 3.0 |