Realizability theory for continuous linear systems / A. H. Zemanian.

Format:

Book

Author/Creator:

Zemanian, A. H. (Armen H.)

Series:

Mathematics in science and engineering ; 97.

Mathematics in science and engineering ; 97

Language:

English

Subjects (All):

System analysis.

Operator theory.

Functional analysis.

Physical Description:

1 online resource (249 p.)

Place of Publication:

New York : Academic Press, 1972.

Language Note:

English

Summary:

Realizability theory for continuous linear systems

Contents:

Front Cover; Realizability Theory for Continuous Linear Systems; Copyright Page; Contents; Preface; Acknowledgments; Chapter 1. Vector-Valued Functions; 1.1 Introduction; 1.2 Notations and Terminology; 1.3 Continuous Functions; 1.4 Integration; 1.5 Repeated Integration and Improper Integrals; 1.6 Differentiation; 1.7 Banach-Space-Valued Analytic Functions; 1.8 Contour Integration; Chapter 2. Integration with Vector-Valued Functions and Operator-Valued Measures; 2.1 lntroduction; 2.2 Operator-Valued Measures; 2.3 s-Finite Operator-Valued Measures

2.4 Tensor Products and Vector-Valued Functions2.5 Integration of Vector-Valued Functions; 2.6 Sesquilinear Forms Generated by PO Measures; Chapter 3. Banach-Space-Valued Testing Functions and Distributions; 3.1 Introduction; 3.2 The Basic Testing-Function Space Dm(A); 3.3 Distributions; 3.4 Local Structure; 3.5 The Correspondence between [D(A); B] and [D; [ A; B]]; 3.6 The ?-Type Testing Function Spaces; 3.7 Generalized Functions; 3.8 Lp-Type Testing Functions and Distributions; Chapter 4. Kernel Operators; 4.1 Introduction; 4.2 Systems and Operators; 4.3 The Space H = D(V)

4.4 The Kernel Theorem4.5 Kernel Operators; 4.6 Causality and Kernel Operators; Chapter 5. Convolution Operators; 5.1 Introduction; 5.2 Convolution; 5.3 Special Cases; 5.4 The Commutativity of Convolution Operators with Shifting and Differentiation; 5.5 Regularization; 5.6 Primitives; 5.7 Direct Products; 5.8 Distributions That Are Independent of Certain Coordinates; 5.9 A Change-of-Variable Formua; 5.10 Convolution Operators; 5.11 Causality and Convolution Operators; Chapter 6. The Laplace Transformation; 6.1 Introduction; 6.2 The Definition of the Laplace Transformation

6.3 Analyticity and the Exchange Formula6.4 Inversion and Uniqueness; 6.5 A Causality Criterion; Chapter 7. The Scattering Formulism; 7.1 Introduction; 7.2 Preliminary Considerations Concerning Lp-Type Distributions; 7.3 Scatter-Passivity; 7.4 Bounded* Scattering Transforms; 7.5 The Realizability of Bounded* Scattering Transforms; 7.6 Bounded*-Real Scattering Transforms; 7.7 Lossless Hilbert Ports; 7.8 The Lossless Hilbert n-Port; Chapter 8. The Admittance Formulism; 8.1 Introduction; 8.2 Passivity; 8.3 Linearity and Semipassivity Imply Continuity; 8.4 The Fourier Transformation on J(H)

Appendix A. Linear Spaces

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-282-29011-8

9786612290114

0-08-095606-8

OCLC:

316573139