Timeline for When I know self convolution of the complex function can I recover function itself or its modulus?
Current License: CC BY-SA 4.0
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| Feb 7, 2023 at 17:30 | comment | added | VojtaK | OK, I have migrated the question here mathoverflow.net/questions/440381/… Originally, I thought it will be simpler for this site. | |
| Feb 7, 2023 at 17:25 | comment | added | Iosif Pinelis | @VojtaK : I am not really active on math.stackexchange.com. | |
| Feb 7, 2023 at 17:23 | comment | added | VojtaK | I have asked related question here math.stackexchange.com/questions/4634301/… | |
| Feb 7, 2023 at 16:52 | comment | added | Iosif Pinelis | @VojtaK : You comment is not clear to me. I think such additional questions should be asked in separate, carefully prepared posts. | |
| Feb 7, 2023 at 16:42 | comment | added | VojtaK | Thank you for the answer. Apparently I have made a mistake so that I know $B=u(x) * u(-x)$. It is apparent it won't be unique anyway due to possibly different phases in $\hat{u}(t)\hat{u}(t)^*$. Do I fix this ambiguity assuming $u = e^{i \phi(x)}$ and is there closed formula to recover such real function $\phi(x)$? I assume this problem shall be unique but do not know any solution to it. | |
| Feb 4, 2023 at 21:38 | vote | accept | VojtaK | ||
| Feb 3, 2023 at 17:43 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Feb 3, 2023 at 17:37 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Feb 3, 2023 at 17:17 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Feb 3, 2023 at 16:12 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Feb 3, 2023 at 15:54 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Feb 3, 2023 at 15:47 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Feb 3, 2023 at 15:42 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Feb 3, 2023 at 15:24 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Feb 3, 2023 at 15:16 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |