Cauchy and Riesz transforms in geometric analysis: Analytic and Lipschitz harmonic capacities, variation and oscillation, and uniform rectifiability
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Cauchy and Riesz transforms in geometric analysis: Analytic and Lipschitz harmonic capacities, variation and oscillation, and uniform rectifiability

by Albert Mas

Mathematics Harmonic Analysis geometric analysis
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Albert Mas presents an advanced study of Cauchy and Riesz transforms in geometric analysis. The book brings together analytic and Lipschitz harmonic capacities, variation and oscillation, and uniform rectifiability, offering a focused mathematical resource on these interconnected topics in modern harmonic analysis and geometric measure theory.

About This Book

This monograph by Albert Mas focuses on Cauchy and Riesz transforms within geometric analysis.

It addresses analytic and Lipschitz harmonic capacities, along with questions involving variation and oscillation.

The book also examines uniform rectifiability, a central topic in the study of geometric structure and singular integral methods.

Written for readers seeking specialized mathematical treatment, it brings together several advanced themes in harmonic analysis and geometry.

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I will be using this book for: