0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis

Buy Now

Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calderon-Zygmund Theory (Paperback, Softcover reprint of the original 1st ed. 2014) Loot Price: R4,107
Discovery Miles 41 070
Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calderon-Zygmund Theory (Paperback, Softcover reprint of the...

Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calderon-Zygmund Theory (Paperback, Softcover reprint of the original 1st ed. 2014)

Xavier Tolsa

Series: Progress in Mathematics, 307

 (sign in to rate)
Loot Price R4,107 Discovery Miles 41 070 | Repayment Terms: R385 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

This book studies some of the groundbreaking advances that have been made regarding analytic capacity and its relationship to rectifiability in the decade 1995-2005. The Cauchy transform plays a fundamental role in this area and is accordingly one of the main subjects covered. Another important topic, which may be of independent interest for many analysts, is the so-called non-homogeneous Calderon-Zygmund theory, the development of which has been largely motivated by the problems arising in connection with analytic capacity. The Painleve problem, which was first posed around 1900, consists in finding a description of the removable singularities for bounded analytic functions in metric and geometric terms. Analytic capacity is a key tool in the study of this problem. In the 1960s Vitushkin conjectured that the removable sets which have finite length coincide with those which are purely unrectifiable. Moreover, because of the applications to the theory of uniform rational approximation, he posed the question as to whether analytic capacity is semiadditive. This work presents full proofs of Vitushkin's conjecture and of the semiadditivity of analytic capacity, both of which remained open problems until very recently. Other related questions are also discussed, such as the relationship between rectifiability and the existence of principal values for the Cauchy transforms and other singular integrals. The book is largely self-contained and should be accessible for graduate students in analysis, as well as a valuable resource for researchers.

General

Imprint: Birkhauser Verlag AG
Country of origin: Switzerland
Series: Progress in Mathematics, 307
Release date: August 2016
First published: 2014
Authors: Xavier Tolsa
Dimensions: 235 x 155 x 21mm (L x W x T)
Format: Paperback
Pages: 396
Edition: Softcover reprint of the original 1st ed. 2014
ISBN-13: 978-3-319-34544-4
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations
Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics
Promotions
LSN: 3-319-34544-3
Barcode: 9783319345444

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Riemann Surfaces
Simon Donaldson Hardcover R4,284 Discovery Miles 42 840
Numerical Linear Algebra
Lloyd N. Trefethen, David Bau Paperback R1,126 Discovery Miles 11 260
The Calculus for Engineers and…
Robert H. (Robert Henry) Smith Hardcover R916 Discovery Miles 9 160
A Treatise On Infinitesimal Calculus…
Bartholomew Price Hardcover R1,256 Discovery Miles 12 560
Lectures on the Calculus of Variations
Bolza Oskar Hardcover R918 Discovery Miles 9 180
Annual Report of the Commissioner of…
Uni States Office of Indian Affairs Hardcover R956 Discovery Miles 9 560
Hardy Inequalities on Homogeneous Groups
Durvudkhan Suragan, Michael Ruzhansky Hardcover R1,997 Discovery Miles 19 970
Introduction to the Theory of Fourier's…
Horatio Scott Carslaw Hardcover R923 Discovery Miles 9 230
The Water-cure Journal, and Herald of…
Anonymous Hardcover R845 Discovery Miles 8 450
The Water-cure Journal, and Herald of…
Anonymous Hardcover R815 Discovery Miles 8 150
The Water-cure Journal, and Herald of…
Anonymous Hardcover R845 Discovery Miles 8 450
A History of the Conceptions of Limits…
Florian 1859-1930 Cajori Hardcover R922 Discovery Miles 9 220

See more

Partners