Item description for Notes on Analytic Capacity, Rectifiability, Menger Curvature, and Cauchy Integral (Lecture Notes in Mathematics, Vol. 1799) by Hervé M. Pajot...
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 Painlev problem.
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Est. Packaging Dimensions: Length: 9.21" Width: 6.14" Height: 0.3" Weight: 0.46 lbs.
Release Date Jan 27, 2003
ISBN 3540000011 ISBN13 9783540000013
Availability 149 units. Availability accurate as of May 26, 2017 12:07.
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