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Analytic Capacity Rectifiability Menger Curvature And Cauchy Integral Pajot H M

  • SKU: BELL-995318
Analytic Capacity Rectifiability Menger Curvature And Cauchy Integral Pajot H M
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Analytic Capacity Rectifiability Menger Curvature And Cauchy Integral Pajot H M instant download after payment.

Publisher: Springer
File Extension: RAR
File size: 1.47 MB
Pages: 140
Author: Pajot H. M.
Language: English
Year: 2003

Product desciption

Analytic Capacity Rectifiability Menger Curvature And Cauchy Integral Pajot H M by Pajot H. M. instant download after payment.

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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