Timeline for Hausdorff Dimension of Exceptional Set for Carleson's Theorem
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Jun 22, 2016 at 0:03 | comment | added | Mark Lewko | This doesn't directly answer your question but there is a result of Katznelson which states that for any measure 0 set there is a continuous function with a Fourier series diverging on it (see: Y. Katznelson, "Sur les ensembles de divergence des séries trigonométriques", Studia Mathematica 26: 301–304, 1966). | |
| Jun 21, 2016 at 23:38 | comment | added | Christian Remling | Yes, there are many results along these lines. You could take a look at Carleson's own book on exceptional sets, and Zygmund has some discussion of this too in his book. | |
| Jun 21, 2016 at 23:30 | review | First posts | |||
| Jun 21, 2016 at 23:54 | |||||
| Jun 21, 2016 at 23:28 | history | asked | Rob F | CC BY-SA 3.0 |