Product integration with applications to differential equations, John D. Dollard and Charles N. Friedman ; foreword by Felix E. Browder ; appendix by P.R. Masani, (electronic resource)
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The instance Product integration with applications to differential equations, John D. Dollard and Charles N. Friedman ; foreword by Felix E. Browder ; appendix by P.R. Masani, (electronic resource) represents a material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Instance, Electronic.
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Product integration with applications to differential equations, John D. Dollard and Charles N. Friedman ; foreword by Felix E. Browder ; appendix by P.R. Masani, (electronic resource)
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The instance Product integration with applications to differential equations, John D. Dollard and Charles N. Friedman ; foreword by Felix E. Browder ; appendix by P.R. Masani, (electronic resource) represents a material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Instance, Electronic.
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 Product integration with applications to differential equations, John D. Dollard and Charles N. Friedman ; foreword by Felix E. Browder ; appendix by P.R. Masani, (electronic resource)
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 electronic resource
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 John D. Dollard and Charles N. Friedman ; foreword by Felix E. Browder ; appendix by P.R. Masani
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 Includes bibliographical references (p. 204213) and index
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 online resource
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 Cover; Half Title; Series Page; Title; Copyright; ; Contents; Editor's Statement; Foreword; Preface; Introduction; CHAPTER 1 Product Integration of MatrixValued 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 TimeOrdered Exponential; 1.5 Dependence on a Parameter; 1.6 Improper Product Integration; 1.7 Alternative Definitions of the Product Integral; 1.8 LebesgueIntegrable 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 SchrÃ¶dinger Equation; 4.2 Weyl's LimitCircle Classification; 4.3 The Lie Product Formula; 4.4 The HilleYosida 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 SchrÃ¶dinger 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 CnxnValued 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 DiscreteState 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
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 1 online resource (288 p.)
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 9781107387195
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 computer
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 c
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 99148828310901651
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 remote
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 (CKB)2670000000361540
 (EBL)1543496
 (OCoLC)862614416
 (SSID)ssj0000890260
 (PQKBManifestationID)11467957
 (PQKBTitleCode)TC0000890260
 (PQKBWorkID)10883151
 (PQKB)10168284
 (UkCbUP)CR9781107340701
 (MiAaPQ)EBC1543496
 (EXLCZ)992670000000361540
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