Boundary value problems for analytic functions:
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 Poincare-Bertrand formula are given. Nearly one third of this book conta...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1993
|
| Schriftenreihe: | Series in pure mathematics
v. 16 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | 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 Poincare-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 |
| Beschreibung: | xiii, 466 p. ill |
| ISBN: | 9789814439763 |
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| 520 | |a 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 Poincare-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 | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Lu, Jian-Ke |
| author_facet | Lu, Jian-Ke |
| author_role | aut |
| author_sort | Lu, Jian-Ke |
| author_variant | j k l jkl |
| building | Verbundindex |
| bvnumber | BV044639208 |
| classification_rvk | SK 600 |
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| dewey-full | 515.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.35 |
| dewey-search | 515.35 |
| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044639208 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:55Z |
| institution | BVB |
| isbn | 9789814439763 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030037181 |
| oclc_num | 1005230121 |
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| owner | DE-92 |
| owner_facet | DE-92 |
| physical | xiii, 466 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| series2 | Series in pure mathematics |
| spelling | Lu, Jian-Ke Verfasser aut Boundary value problems for analytic functions Jian-Ke Lu Singapore World Scientific Pub. Co. c1993 xiii, 466 p. ill txt rdacontent c rdamedia cr rdacarrier Series in pure mathematics v. 16 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 Poincare-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 Boundary value problems Analytic functions Randwertproblem (DE-588)4048395-2 gnd rswk-swf Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Analytische Funktion (DE-588)4142348-3 s Randwertproblem (DE-588)4048395-2 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789810210205 Erscheint auch als Druck-Ausgabe 9810210205 http://www.worldscientific.com/worldscibooks/10.1142/1701#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lu, Jian-Ke Boundary value problems for analytic functions Boundary value problems Analytic functions Randwertproblem (DE-588)4048395-2 gnd Analytische Funktion (DE-588)4142348-3 gnd |
| subject_GND | (DE-588)4048395-2 (DE-588)4142348-3 |
| title | Boundary value problems for analytic functions |
| title_auth | Boundary value problems for analytic functions |
| title_exact_search | Boundary value problems for analytic functions |
| title_full | Boundary value problems for analytic functions Jian-Ke Lu |
| title_fullStr | Boundary value problems for analytic functions Jian-Ke Lu |
| title_full_unstemmed | Boundary value problems for analytic functions Jian-Ke Lu |
| title_short | Boundary value problems for analytic functions |
| title_sort | boundary value problems for analytic functions |
| topic | Boundary value problems Analytic functions Randwertproblem (DE-588)4048395-2 gnd Analytische Funktion (DE-588)4142348-3 gnd |
| topic_facet | Boundary value problems Analytic functions Randwertproblem Analytische Funktion |
| url | http://www.worldscientific.com/worldscibooks/10.1142/1701#t=toc |
| work_keys_str_mv | AT lujianke boundaryvalueproblemsforanalyticfunctions |