Timeline for Convergence of squares of the moduli of partial sums of Fourier series
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| May 10, 2011 at 19:57 | comment | added | user14971 | It seems that the limit must exist almost everywhere and if $\mu$ has no atoms then it coincides with $|averaged \ lim \ p_n|^2$. For point masses some extra summands appear. If so, I am sure this must be known. | |
| May 10, 2011 at 19:48 | vote | accept | user14971 | ||
| May 10, 2011 at 19:48 | |||||
| May 9, 2011 at 19:04 | comment | added | user14971 | Yes, and another simple example is the Dirac measure at a point of the circle: then the averaged limit exists, say, for the Cesaro summation method. There are some reasons to think that the fact can be true for every complex measure and that it can be already known. I would very much appreciate any references/arguments. | |
| May 9, 2011 at 17:08 | history | answered | Joko | CC BY-SA 3.0 |