This book studies some of the groundbreaking advances that have been made regarding analytic capacity and its relationship to rectifiability. It provides a unified approach to the material and simplified proofs.

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Xavier Tolsa is Research Professor of Mathematics from ICREA - Universitat Aut�noma de Barcelona. He is the author of many research papers in connection with the topics discussed in this book. The present monograph was awarded the 2013 Ferran Sunyer i Balaguer Prize.

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