Timeline for Spherical harmonic expansion of a power function
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
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| Jul 6, 2021 at 8:01 | comment | added | ntessore | There is, as far as I can tell, absolutely nothing special about the spherical harmonic expansion of $f^3$ for a spherical function $f$ over $S^2$. | |
| S May 6, 2021 at 16:05 | history | bounty ended | CommunityBot | ||
| S May 6, 2021 at 16:05 | history | notice removed | CommunityBot | ||
| Apr 29, 2021 at 16:11 | comment | added | user4164 | @Carlo Beenakker: Yes, this is what I am getting, but I am not satisfied with the n-th fold convolution... | |
| Apr 28, 2021 at 17:06 | comment | added | Carlo Beenakker | this would amount to an $n$-fold convolution of the expansion coefficients of $f$, I don't see how anything simpler would appear. | |
| Apr 28, 2021 at 17:01 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
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| Apr 28, 2021 at 16:13 | comment | added | user4164 | @Michael Engelhard: I would like to find coefficients of $f^n$ in terms of coefficients of $f$, i.e their relation. | |
| Apr 28, 2021 at 16:12 | history | edited | user4164 | CC BY-SA 4.0 |
added 41 characters in body
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| Apr 28, 2021 at 16:06 | comment | added | user4164 | @Carlo Beenakker: Yes, I would like to find a coefficients of the expansion of $f^n$, in particular their relation with the expansion of $f$. Will add this to the question. Thank you. | |
| Apr 28, 2021 at 15:51 | comment | added | Michael Engelhardt | Would the answer $c_{l,i} = \langle Y_{l,i} | f^n \rangle $ satisfy you, and why not? | |
| Apr 28, 2021 at 15:24 | comment | added | Carlo Beenakker | perhaps you can give some more info? do you want a relation between the expansion coefficients of $f^n$ and those of $f$? | |
| S Apr 28, 2021 at 14:19 | history | bounty started | user4164 | ||
| S Apr 28, 2021 at 14:19 | history | notice added | user4164 | Canonical answer required | |
| Apr 26, 2021 at 13:38 | history | asked | user4164 | CC BY-SA 4.0 |