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A real variable method for the Cauchy transform and analytic capacity / Takafumi Murai.

By: Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1307.Publication details: Berlin ; New York : Springer-Verlag, ©1988.Description: 1 online resource (vi, 133 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540391050
  • 3540391053
Subject(s): Additional physical formats: Print version:: Real variable method for the Cauchy transform and analytic capacity.DDC classification:
  • 510 s 515 19
LOC classification:
  • QA3 .L28 no. 1307 QA360
Other classification:
  • SI 850
  • MAT 440f
  • 30C85
Online resources:
Contents:
The Caldern Commutator (8 Proofs of its Boundedness) -- A Real Variable Method for the Cauchy Transform on Graphs -- Analytic Capacities of Cranks -- Appendix I -- Appendix II -- References -- Subject Index.
Action note:
  • digitized 2010 HathiTrust Digital Library committed to preserve
Summary: 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 Caldern 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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library eBook LN Mathematic Available
Total holds: 0

Includes bibliographical references (pages 129-131) and index.

The Caldern Commutator (8 Proofs of its Boundedness) -- A Real Variable Method for the Cauchy Transform on Graphs -- Analytic Capacities of Cranks -- Appendix I -- Appendix II -- References -- Subject Index.

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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 Caldern 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.

Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010. MiAaHDL

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL

http://purl.oclc.org/DLF/benchrepro0212

digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL

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