Boundary Value Problems for Analytic Functions (Series in Pure Mathematics)

Lu, Jian-Ke

ISBN 10: 9810210205 / ISBN 13: 9789810210205

Editore: World Scientific Publishing Company, 1994

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Codice articolo ERICA82998102102053

Dati bibliografici

• Titolo: Boundary Value Problems for Analytic Functions (Series in Pure Mathematics)
• Editore: World Scientific Publishing Company
• Data di pubblicazione: 1994
• Lingua: Inglese
• ISBN 10: 9810210205
• ISBN 13: 9789810210205
• Rilegatura: Hardcover
• Condizione: Good
• Tipo di libro: book

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Riassunto

This book deals with boundary value problems for analytic functions with applications to singular integral equations. New and simpler proofs of certain classical results such as the Plemelj formula, the Privalov theorem and the Poincaré-Bertrand formula are given. Nearly one third of this book contains the author's original works, most of which have not been published in English before and, hence, were previously unknown to most readers in the world.It consists of 7 chapters together with an appendix: Chapter I describes the basic knowledge on Cauchy-type integrals and Cauchy principal value integrals; Chapters II and III study, respectively, fundamental boundary value problems and their applications to singular integral equations for closed contours; Chapters IV and V discuss the same problems for curves with nodes (including open arcs); Chaper VI deals with similar problems for systems of functions; Chapter VII is concerned with some miscellaneous problems and the Appendix contains some basic results on Fredholm integral equations. In most sections, there are carefully selected sets of exercises, some of which supplement the text of the sections; answers/hints are also given for some of these exercises.For graduate students or seniors, all the 7 chapters can be used for a full year course, while the first 3 chapters may be used for a one-semester course.