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Realizability Theory for Continuous Linear Systems

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Concise exposition of realizability theory as applied to continous linear systems, specifically to the operators generated by physical systems as mappings of stimuli into responses. Many problems included.

Author(s): A.H. Zemanian (Eds.)
Series: Mathematics in Science and Engineering 97
Publisher: Elsevier, Academic Press
Year: 1972

Language: English
Pages: iii-xv, 1-231

Content:
Edited by
Page iii

Copyright page
Page iv

Dedication
Page v

Preface
Pages xi-xiii

Acknowledgments
Page xv

Chapter 1 Vector-Valued Functions
Pages 1-22

Chapter 2 Integration with Vector-Valued Functions and Operator-Valued Measures
Pages 23-48

Chapter 3 Banach-Space-Valued Testing Functions and Distributions
Pages 49-75

Chapter 4 Kernel Operators
Pages 76-95

Chapter 5 Convolution Operators
Pages 96-116

Chapter 6 The Laplace Transformation
Pages 117-123

Chapter 7 The Scattering Formulism
Pages 124-148

Chapter 8 The Admittance Formulism
Pages 149-193

Appendix A Linear Spaces
Pages 194-197

Appendix B Topological Spaces
Pages 198-200

Appendix C Topological Linear Spaces
Pages 201-205

Appendix D Continuous Linear Mappings
Pages 206-210

Appendix E Inductive-Limit Spaces
Pages 211-212

Appendix F Bilinear Mappings and Tensor Products
Pages 213-215

Appendix G The Bochner Integral
Pages 216-221

References
Pages 222-224

Index of Symbols
Pages 225-226

Index
Pages 227-231