Description: Analytic Capacity, Rectifiability, Menger Curvature, and the Cauchy Integral, Paperback by Pajot, Herve M., ISBN 3540000011, ISBN-13 9783540000013, Like New Used, Free shipping in the US 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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Book Title: Analytic Capacity, Rectifiability, Menger Curvature, and the Cauc
Number of Pages: VIII, 119 Pages
Language: English
Publication Name: Analytic Capacity, Rectifiability, Menger Curvature, and Cauchy Integral
Publisher: Springer Berlin / Heidelberg
Subject: Geometry / General, Complex Analysis, Mathematical Analysis
Publication Year: 2002
Type: Textbook
Item Weight: 16.2 Oz
Item Length: 9.3 in
Author: Hervé M. Pajot
Subject Area: Mathematics
Series: Lecture Notes in Mathematics Ser.
Item Width: 6.1 in
Format: Trade Paperback
