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- catalog abstract "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.".
- catalog contributor b2106321.
- catalog created "1988.".
- catalog date "1988".
- catalog date "1988.".
- catalog dateCopyrighted "1988.".
- catalog description "Bibliography: p. [129]-131.".
- catalog description "Contents: The Calderón 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.".
- catalog description "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.".
- catalog extent "vi, 133 p. :".
- catalog hasFormat "Real variable method for the Cauchy transform and analytic capacity.".
- catalog identifier "0387190910 (U.S.)".
- catalog identifier "3540190910".
- catalog isFormatOf "Real variable method for the Cauchy transform and analytic capacity.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1307.".
- catalog isPartOf "Lecture notes in mathematics ; 1307".
- catalog issued "1988".
- catalog issued "1988.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Real variable method for the Cauchy transform and analytic capacity.".
- catalog subject "Analytic functions.".
- catalog subject "Cauchy transform.".
- catalog subject "Geometric function theory.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Integral operators.".
- catalog subject "Mathematical physics.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1307 QA360".
- catalog tableOfContents "Contents: The Calderón 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.".
- catalog title "A real variable method for the Cauchy transform, and analytic capacity / Takafumi Murai.".
- catalog type "text".