| Date: |
2004 |
| Abstract: |
Carleson's Theorem from 1965 states that the partial Fourier sums of a square integrable function converge pointwise. We prove an equivalent statement on the real line, following the method developed by the author and C. Thiele. This theorem, and the proof presented, is at the center of an emerging theory which complements the statement and proof of Carleson's theorem. An outline of these variations is also given. |
| Rights: |
Tots els drets reservats.  |
| Language: |
Anglès |
| Document: |
Article ; recerca ; Versió publicada |
| Subject: |
Pointwise convergence ;
Fourier series ;
Singular integrals ;
Phase plane analysis |
| Published in: |
Publicacions matemàtiques, V. 48 N. 2 (2004) , p. 251-307, ISSN 2014-4350 |
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