Product integration with applications to differential equations /:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [Cambridgeshire] ; New York, NY, USA :
Cambridge University Press,
1984.
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications ;
v. 10. Encyclopedia of mathematics and its applications. Section, Analysis. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Imprint and ISBN from label on title page verso. Imprint on t.p.: Reading, Mass. : Addison-Wesley Pub. Co., Advanced Book Program, 1979. Publication taken over by Cambridge University Press in 1984 with a new copyright date. |
| Beschreibung: | 1 online resource (xxii, 253 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 204-213) and index. |
| ISBN: | 9781461938170 1461938171 9781107340701 1107340705 9781139886109 113988610X |
Internformat
MARC
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| 245 | 1 | 0 | |a Product integration with applications to differential equations / |c John D. Dollard and Charles N. Friedman ; foreword by Felix E. Browder ; appendix by P.R. Masani. |
| 260 | |a Cambridge [Cambridgeshire] ; |a New York, NY, USA : |b Cambridge University Press, |c 1984. | ||
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| 490 | 1 | |a Encyclopedia of mathematics and its applications ; |v v. 10. Section, Analysis | |
| 500 | |a Imprint and ISBN from label on title page verso. Imprint on t.p.: Reading, Mass. : Addison-Wesley Pub. Co., Advanced Book Program, 1979. | ||
| 500 | |a Publication taken over by Cambridge University Press in 1984 with a new copyright date. | ||
| 504 | |a Includes bibliographical references (pages 204-213) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Half Title; Series Page; Title; Copyright; ; Contents; Editor's Statement; Foreword; Preface; Introduction; CHAPTER 1 Product Integration of Matrix-Valued Functions; 1.0 Introduction; 1.1 Product Integration; 1.2 Product Integral Analysis of Linear Ordinary Differential Equations; 1.3 Further Properties of Product Integrals; 1.4 Estimates of Size, and the Product Integral as a Time-Ordered Exponential; 1.5 Dependence on a Parameter; 1.6 Improper Product Integration; 1.7 Alternative Definitions of the Product Integral; 1.8 Lebesgue-Integrable Functions; Notes to Chapter 1 | |
| 505 | 8 | |a CHAPTER 2 Contour Product Integration2.0 Introduction; 2.1 The Definition of Contour Product Integrals; 2.2 The Product Integral of an Analytic Function and the Analogues of Cauchy's Integral Theorem; 2.3 A Cauchy Integral Formula for Product Integrals; 2.4 Generalizations; Notes to Chapter 2; CHAPTER 3 Strong Product Integration; 0. Introduction; 3.1 Direct Extensions of the Results of Chapter 1; 3.2 Generalization; 3.3 The Space; 3.4 Solution of Integral Equations; 3.5 Product Integration of Functions in Ls1(a, b); 3.6 Product Integrals Involving Unbounded Operators; Notes to Chapter 3 | |
| 505 | 8 | |a CHAPTER 4 Applications4.1 Asymptotics for the Schrödinger Equation; 4.2 Weyl's Limit-Circle Classification; 4.3 The Lie Product Formula; 4.4 The Hille-Yosida Theorem; 4.5 An Example Involving Unbounded Operators with Variable Domain; Notes to Chapter 4; CHAPTER 5 Product Integration of Measures; 5.1. Introduction; 5.2 The Product Integral; 5.3 Integral and Differential Equations; 5.4 Further Properties of Product Integrals; 5.5 Improper Product Integration; 5.6 The Schrödinger Equation; 5.7 The Equation y""+p(dx)y' + q(dx)y = 0; Notes to Chapter 5; CHAPTER 6 Complements | |
| 505 | 8 | |a Other Work and further Results on Product IntegrationAPPENDIX I; APPENDIX I Matrices; A.I.I Elementary Definitions; A.I.2 Calculus of Cnxn-Valued Functions; A.I.3 The Canonical Form of a Matrix; A.I.4 The Spectrum of a Matrix; A.I.5 Some Additional Results; References; Notes to the References; APPENDIX II; APPENDIX II The Place of Multiplicative Integration in Modern Analysis*; A. II. 2 Fluid Flows in Smooth Manifolds; A. Linear Manifolds; B. Nonlinear Manifolds; C. Steady Flows; A. II. 3 Abstract Formulation of the Theory; A. II. 4 The Evolution Equation in a Pseudolinear Algebra | |
| 505 | 8 | |a A. II. 5 LinearizationA. II. 6 Discrete-State Markovian Processes with Continuous Time Domain; A. II. 7 The Monodromy and Cousin Problems; A. II. 8 The Matricial Hardy and Nevanlinna Classes; A. II. 9 Holonomy; A. II. 10 Perturbation and Partial Integration; A. II.ll Concluding Remarks; References; Index | |
| 650 | 0 | |a Differential equations. |0 http://id.loc.gov/authorities/subjects/sh85037890 | |
| 650 | 0 | |a Differential equations, Partial. |0 http://id.loc.gov/authorities/subjects/sh85037912 | |
| 650 | 0 | |a Integral equations. |0 http://id.loc.gov/authorities/subjects/sh85067088 | |
| 650 | 6 | |a Équations différentielles. | |
| 650 | 6 | |a Équations aux dérivées partielles. | |
| 650 | 6 | |a Équations intégrales. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
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| 700 | 1 | |a Friedman, Charles N. | |
| 776 | 0 | 8 | |i Print version: |a Dollard, John D. |t Product integration with applications to differential equations. |d Cambridge [Cambridgeshire] ; New York, NY, USA : Cambridge University Press, 1984 |z 0521302307 |w (DLC) 85121387 |w (OCoLC)12262070 |
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Datensatz im Suchindex
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| author2 | Friedman, Charles N. |
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| callnumber-raw | QA371 .D64 1984eb |
| callnumber-search | QA371 .D64 1984eb |
| callnumber-sort | QA 3371 D64 41984EB |
| callnumber-subject | QA - Mathematics |
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| collection | ZDB-4-EBA |
| contents | Cover; Half Title; Series Page; Title; Copyright; ; Contents; Editor's Statement; Foreword; Preface; Introduction; CHAPTER 1 Product Integration of Matrix-Valued Functions; 1.0 Introduction; 1.1 Product Integration; 1.2 Product Integral Analysis of Linear Ordinary Differential Equations; 1.3 Further Properties of Product Integrals; 1.4 Estimates of Size, and the Product Integral as a Time-Ordered Exponential; 1.5 Dependence on a Parameter; 1.6 Improper Product Integration; 1.7 Alternative Definitions of the Product Integral; 1.8 Lebesgue-Integrable Functions; Notes to Chapter 1 CHAPTER 2 Contour Product Integration2.0 Introduction; 2.1 The Definition of Contour Product Integrals; 2.2 The Product Integral of an Analytic Function and the Analogues of Cauchy's Integral Theorem; 2.3 A Cauchy Integral Formula for Product Integrals; 2.4 Generalizations; Notes to Chapter 2; CHAPTER 3 Strong Product Integration; 0. Introduction; 3.1 Direct Extensions of the Results of Chapter 1; 3.2 Generalization; 3.3 The Space; 3.4 Solution of Integral Equations; 3.5 Product Integration of Functions in Ls1(a, b); 3.6 Product Integrals Involving Unbounded Operators; Notes to Chapter 3 CHAPTER 4 Applications4.1 Asymptotics for the Schrödinger Equation; 4.2 Weyl's Limit-Circle Classification; 4.3 The Lie Product Formula; 4.4 The Hille-Yosida Theorem; 4.5 An Example Involving Unbounded Operators with Variable Domain; Notes to Chapter 4; CHAPTER 5 Product Integration of Measures; 5.1. Introduction; 5.2 The Product Integral; 5.3 Integral and Differential Equations; 5.4 Further Properties of Product Integrals; 5.5 Improper Product Integration; 5.6 The Schrödinger Equation; 5.7 The Equation y""+p(dx)y' + q(dx)y = 0; Notes to Chapter 5; CHAPTER 6 Complements Other Work and further Results on Product IntegrationAPPENDIX I; APPENDIX I Matrices; A.I.I Elementary Definitions; A.I.2 Calculus of Cnxn-Valued Functions; A.I.3 The Canonical Form of a Matrix; A.I.4 The Spectrum of a Matrix; A.I.5 Some Additional Results; References; Notes to the References; APPENDIX II; APPENDIX II The Place of Multiplicative Integration in Modern Analysis*; A. II. 2 Fluid Flows in Smooth Manifolds; A. Linear Manifolds; B. Nonlinear Manifolds; C. Steady Flows; A. II. 3 Abstract Formulation of the Theory; A. II. 4 The Evolution Equation in a Pseudolinear Algebra A. II. 5 LinearizationA. II. 6 Discrete-State Markovian Processes with Continuous Time Domain; A. II. 7 The Monodromy and Cousin Problems; A. II. 8 The Matricial Hardy and Nevanlinna Classes; A. II. 9 Holonomy; A. II. 10 Perturbation and Partial Integration; A. II.ll Concluding Remarks; References; Index |
| ctrlnum | (OCoLC)856017735 |
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| id | ZDB-4-EBA-ocn856017735 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:29Z |
| institution | BVB |
| isbn | 9781461938170 1461938171 9781107340701 1107340705 9781139886109 113988610X |
| language | English |
| oclc_num | 856017735 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xxii, 253 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 1984 |
| publishDateSearch | 1979 1984 |
| publishDateSort | 1984 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | Encyclopedia of mathematics and its applications ; Encyclopedia of mathematics and its applications. Section, Analysis. |
| series2 | Encyclopedia of mathematics and its applications ; |
| spelling | Dollard, John D. Product integration with applications to differential equations / John D. Dollard and Charles N. Friedman ; foreword by Felix E. Browder ; appendix by P.R. Masani. Cambridge [Cambridgeshire] ; New York, NY, USA : Cambridge University Press, 1984. 1 online resource (xxii, 253 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Encyclopedia of mathematics and its applications ; v. 10. Section, Analysis Imprint and ISBN from label on title page verso. Imprint on t.p.: Reading, Mass. : Addison-Wesley Pub. Co., Advanced Book Program, 1979. Publication taken over by Cambridge University Press in 1984 with a new copyright date. Includes bibliographical references (pages 204-213) and index. Print version record. Cover; Half Title; Series Page; Title; Copyright; ; Contents; Editor's Statement; Foreword; Preface; Introduction; CHAPTER 1 Product Integration of Matrix-Valued Functions; 1.0 Introduction; 1.1 Product Integration; 1.2 Product Integral Analysis of Linear Ordinary Differential Equations; 1.3 Further Properties of Product Integrals; 1.4 Estimates of Size, and the Product Integral as a Time-Ordered Exponential; 1.5 Dependence on a Parameter; 1.6 Improper Product Integration; 1.7 Alternative Definitions of the Product Integral; 1.8 Lebesgue-Integrable Functions; Notes to Chapter 1 CHAPTER 2 Contour Product Integration2.0 Introduction; 2.1 The Definition of Contour Product Integrals; 2.2 The Product Integral of an Analytic Function and the Analogues of Cauchy's Integral Theorem; 2.3 A Cauchy Integral Formula for Product Integrals; 2.4 Generalizations; Notes to Chapter 2; CHAPTER 3 Strong Product Integration; 0. Introduction; 3.1 Direct Extensions of the Results of Chapter 1; 3.2 Generalization; 3.3 The Space; 3.4 Solution of Integral Equations; 3.5 Product Integration of Functions in Ls1(a, b); 3.6 Product Integrals Involving Unbounded Operators; Notes to Chapter 3 CHAPTER 4 Applications4.1 Asymptotics for the Schrödinger Equation; 4.2 Weyl's Limit-Circle Classification; 4.3 The Lie Product Formula; 4.4 The Hille-Yosida Theorem; 4.5 An Example Involving Unbounded Operators with Variable Domain; Notes to Chapter 4; CHAPTER 5 Product Integration of Measures; 5.1. Introduction; 5.2 The Product Integral; 5.3 Integral and Differential Equations; 5.4 Further Properties of Product Integrals; 5.5 Improper Product Integration; 5.6 The Schrödinger Equation; 5.7 The Equation y""+p(dx)y' + q(dx)y = 0; Notes to Chapter 5; CHAPTER 6 Complements Other Work and further Results on Product IntegrationAPPENDIX I; APPENDIX I Matrices; A.I.I Elementary Definitions; A.I.2 Calculus of Cnxn-Valued Functions; A.I.3 The Canonical Form of a Matrix; A.I.4 The Spectrum of a Matrix; A.I.5 Some Additional Results; References; Notes to the References; APPENDIX II; APPENDIX II The Place of Multiplicative Integration in Modern Analysis*; A. II. 2 Fluid Flows in Smooth Manifolds; A. Linear Manifolds; B. Nonlinear Manifolds; C. Steady Flows; A. II. 3 Abstract Formulation of the Theory; A. II. 4 The Evolution Equation in a Pseudolinear Algebra A. II. 5 LinearizationA. II. 6 Discrete-State Markovian Processes with Continuous Time Domain; A. II. 7 The Monodromy and Cousin Problems; A. II. 8 The Matricial Hardy and Nevanlinna Classes; A. II. 9 Holonomy; A. II. 10 Perturbation and Partial Integration; A. II.ll Concluding Remarks; References; Index Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Differential equations, Partial. http://id.loc.gov/authorities/subjects/sh85037912 Integral equations. http://id.loc.gov/authorities/subjects/sh85067088 Équations différentielles. Équations aux dérivées partielles. Équations intégrales. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Differential equations fast Differential equations, Partial fast Integral equations fast Differentialgleichung gnd http://d-nb.info/gnd/4012249-9 Partielle Integration gnd http://d-nb.info/gnd/4173438-5 Friedman, Charles N. Print version: Dollard, John D. Product integration with applications to differential equations. Cambridge [Cambridgeshire] ; New York, NY, USA : Cambridge University Press, 1984 0521302307 (DLC) 85121387 (OCoLC)12262070 Encyclopedia of mathematics and its applications ; v. 10. http://id.loc.gov/authorities/names/n42010632 Encyclopedia of mathematics and its applications. Section, Analysis. http://id.loc.gov/authorities/names/n84711552 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=616936 Volltext |
| spellingShingle | Dollard, John D. Product integration with applications to differential equations / Encyclopedia of mathematics and its applications ; Encyclopedia of mathematics and its applications. Section, Analysis. Cover; Half Title; Series Page; Title; Copyright; ; Contents; Editor's Statement; Foreword; Preface; Introduction; CHAPTER 1 Product Integration of Matrix-Valued Functions; 1.0 Introduction; 1.1 Product Integration; 1.2 Product Integral Analysis of Linear Ordinary Differential Equations; 1.3 Further Properties of Product Integrals; 1.4 Estimates of Size, and the Product Integral as a Time-Ordered Exponential; 1.5 Dependence on a Parameter; 1.6 Improper Product Integration; 1.7 Alternative Definitions of the Product Integral; 1.8 Lebesgue-Integrable Functions; Notes to Chapter 1 CHAPTER 2 Contour Product Integration2.0 Introduction; 2.1 The Definition of Contour Product Integrals; 2.2 The Product Integral of an Analytic Function and the Analogues of Cauchy's Integral Theorem; 2.3 A Cauchy Integral Formula for Product Integrals; 2.4 Generalizations; Notes to Chapter 2; CHAPTER 3 Strong Product Integration; 0. Introduction; 3.1 Direct Extensions of the Results of Chapter 1; 3.2 Generalization; 3.3 The Space; 3.4 Solution of Integral Equations; 3.5 Product Integration of Functions in Ls1(a, b); 3.6 Product Integrals Involving Unbounded Operators; Notes to Chapter 3 CHAPTER 4 Applications4.1 Asymptotics for the Schrödinger Equation; 4.2 Weyl's Limit-Circle Classification; 4.3 The Lie Product Formula; 4.4 The Hille-Yosida Theorem; 4.5 An Example Involving Unbounded Operators with Variable Domain; Notes to Chapter 4; CHAPTER 5 Product Integration of Measures; 5.1. Introduction; 5.2 The Product Integral; 5.3 Integral and Differential Equations; 5.4 Further Properties of Product Integrals; 5.5 Improper Product Integration; 5.6 The Schrödinger Equation; 5.7 The Equation y""+p(dx)y' + q(dx)y = 0; Notes to Chapter 5; CHAPTER 6 Complements Other Work and further Results on Product IntegrationAPPENDIX I; APPENDIX I Matrices; A.I.I Elementary Definitions; A.I.2 Calculus of Cnxn-Valued Functions; A.I.3 The Canonical Form of a Matrix; A.I.4 The Spectrum of a Matrix; A.I.5 Some Additional Results; References; Notes to the References; APPENDIX II; APPENDIX II The Place of Multiplicative Integration in Modern Analysis*; A. II. 2 Fluid Flows in Smooth Manifolds; A. Linear Manifolds; B. Nonlinear Manifolds; C. Steady Flows; A. II. 3 Abstract Formulation of the Theory; A. II. 4 The Evolution Equation in a Pseudolinear Algebra A. II. 5 LinearizationA. II. 6 Discrete-State Markovian Processes with Continuous Time Domain; A. II. 7 The Monodromy and Cousin Problems; A. II. 8 The Matricial Hardy and Nevanlinna Classes; A. II. 9 Holonomy; A. II. 10 Perturbation and Partial Integration; A. II.ll Concluding Remarks; References; Index Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Differential equations, Partial. http://id.loc.gov/authorities/subjects/sh85037912 Integral equations. http://id.loc.gov/authorities/subjects/sh85067088 Équations différentielles. Équations aux dérivées partielles. Équations intégrales. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Differential equations fast Differential equations, Partial fast Integral equations fast Differentialgleichung gnd http://d-nb.info/gnd/4012249-9 Partielle Integration gnd http://d-nb.info/gnd/4173438-5 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037890 http://id.loc.gov/authorities/subjects/sh85037912 http://id.loc.gov/authorities/subjects/sh85067088 http://d-nb.info/gnd/4012249-9 http://d-nb.info/gnd/4173438-5 |
| title | Product integration with applications to differential equations / |
| title_auth | Product integration with applications to differential equations / |
| title_exact_search | Product integration with applications to differential equations / |
| title_full | Product integration with applications to differential equations / John D. Dollard and Charles N. Friedman ; foreword by Felix E. Browder ; appendix by P.R. Masani. |
| title_fullStr | Product integration with applications to differential equations / John D. Dollard and Charles N. Friedman ; foreword by Felix E. Browder ; appendix by P.R. Masani. |
| title_full_unstemmed | Product integration with applications to differential equations / John D. Dollard and Charles N. Friedman ; foreword by Felix E. Browder ; appendix by P.R. Masani. |
| title_short | Product integration with applications to differential equations / |
| title_sort | product integration with applications to differential equations |
| topic | Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Differential equations, Partial. http://id.loc.gov/authorities/subjects/sh85037912 Integral equations. http://id.loc.gov/authorities/subjects/sh85067088 Équations différentielles. Équations aux dérivées partielles. Équations intégrales. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Differential equations fast Differential equations, Partial fast Integral equations fast Differentialgleichung gnd http://d-nb.info/gnd/4012249-9 Partielle Integration gnd http://d-nb.info/gnd/4173438-5 |
| topic_facet | Differential equations. Differential equations, Partial. Integral equations. Équations différentielles. Équations aux dérivées partielles. Équations intégrales. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Differential equations Differential equations, Partial Integral equations Differentialgleichung Partielle Integration |
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