Timeline for Rearrangments of Fourier series
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 12, 2015 at 11:21 | comment | added | Bill Johnson | Maybe, but it is trivial that if $X$ has a basis, then for any $f$ in $X$ there is another basis s.t. $f$ is the first vector of the new basis. | |
| May 12, 2015 at 10:21 | comment | added | Hachino | I understand that the OP wants, for a given $f$, a new basis $(g_n)_n$ and a sequence of numbers $(b_n)_n$ such that 1) $f = \sum b_n g_n$ 2) $f = \sum b_{\sigma (n)} g_{\sigma(n)}$ for any permutation $\sigma$ of the natural numbers. In this process, both $(g_n)_n$ and $(b_n)_n$ depend on $f$. | |
| May 12, 2015 at 8:56 | history | answered | Bill Johnson | CC BY-SA 3.0 |