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Author(s): | Waldyr Muniz Oliva | |||
Collection: | ||||
Publisher: | Springer | |||
Year: | 2002 | |||
Language: | English | |||
Pages: | 272 pages | |||
Size: | 1.95 MB | |||
Extension: | ||||
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[content title="Description"]Based on a graduate course given by the author at Yale University this book deals with complex analysis (analytic capacity), geometric measure theory (rectifiable and uniformly rectifiable sets) and harmonic analysis (boundedness of singular integral operators on Ahlfors-regular sets). In particular, these notes contain a description of Peter Jones' geometric traveling salesman theorem, the proof of the equivalence between uniform rectifiability and boundedness of the Cauchy operator on Ahlfors-regular sets, the complete proofs of the Denjoy conjecture and the Vitushkin conjecture (for the latter, only the Ahlfors-regular case) and a discussion of X. Tolsa's solution of the Painlevé problem.
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[content title="About the author"]Waldyr Muniz Oliva (June 16, 1930) is a Brazilian mathematician , researcher and university professor . He also served as an academic administrator, was director of the Institute of Mathematics and Statistics at the University of São Paulo from 1973 to 1977, and rector of the University of São Paulo from 1978 to 1982. [/content]
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