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Carleson's theorem : proof, complements, variations
Lacey, Michael T.

Data: 2004
Resum: 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.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: Article ; recerca ; article ; publishedVersion
Matèria: Pointwise convergence ; Fourier series ; Singular integrals ; Phase plane analysis
Publicat a: Publicacions matematiques, V. 48 N. 2 (2004) , p. 251-307, ISSN 0214-1493

DOI: 10.5565/PUBLMAT_48204_01

58 p, 348.9 KB

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