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A Real Variable Method for the Cauchy Transform, and Analytic Capacity

Name: A Real Variable Method for the Cauchy Transform, and Analytic Capacity
Brand: Springer, Berlin
SKU: 01558518
Price: 38.19 EUR
Availability: InStock
Author: Takafumi Murai
ISBN: 9783540190912

Takafumi Murai

Language

English

Book Paperback

Libristo code: 01558518

Publishers Springer, Berlin

This research monograph studies the Cauchy transform on curves with the object of formulating a prec... Full description

Libristo code: 01558518

93 b

38.19 € VAT included

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This research monograph studies the Cauchy transform on curves with the object of formulating a precise estimate of analytic capacity. The note is divided into three chapters. The first chapter is a review of the Calderón commutator. In the second chapter, a real variable method for the Cauchy transform is given using only the rising sun lemma. The final and principal chapter uses the method of the second chapter to compare analytic capacity with integral-geometric quantities. The prerequisites for reading this book are basic knowledge of singular integrals and function theory. It addresses specialists and graduate students in function theory and in fluid dynamics.