عنوان

Resolution space; operators and systems

(Number (ISBN

3642807356

(Number (ISBN

9783642807350

Number

b574138

Title Proper

Resolution space; operators and systems

General Material Designation

[Book]

First Statement of Responsibility

[by] R. Saeks.

Place of Publication, Distribution, etc.

Berlin

Name of Publisher, Distributor, etc.

New York, Springer-Verlag

Date of Publication, Distribution, etc.

1973

Specific Material Designation and Extent of Item

(x, 267 pages) illustrations.

Series Title

Lecture notes in economics and mathematical systems, 82.

Text of Note

1. Causality.- A. Resolution Space.- B. Causal Operators.- C. Closure Theorems.- D. The Integrals of Triangular Truncation.- E. Strictly Causal Operators.- F. Operator Decomposition.- G. Problems and Discussion.- 2. Feedback Systems.- A. Well-Posedness.- B. Stability.- C. Sensitivity.- D. Optimal Controllers.- E. Problems and Discussion.- 3. Dynamical Systems.- A. State Decomposition.- B. Controllability, Observability and Stability.- C. The Regulator Problem.- D. Problems and Discussion.- 4. Time-Invariance.- A. Uniform Resolution Space.- B. Spaces of Time-Invariant Operators.- C. The Fourier Transform.- D. The Laplace Transform.- E. Problems and Discussion.- Appendices.- A. Topological Groups.- A. Elementary Group Concepts.- B. Character Groups.- C. Ordered Groups.- D. Integration on (LCA) Groups.- E. Differentiation on (LCA) Groups.- B. Operator Valued Integration.- A. Operator Valued Measures.- B. The Lebesgue Integral.- C. The Cauchy Integrals.- D. Integration over Spectral Measures.- C. Spectral Theory.- A. Spectral Theory for Unitary Groups.- B. Spectral Multiplicity Theory.- C. Spectral Theory for Contractive Semigroups.- D. Representation Theory.- A. Resolution Space Representation Theory.- B. Uniform Resolution Space Representation Theory.- References.

Function spaces.

Linear operators.

System analysis.

[by] R. Saeks.

Richard Saeks

Electronic name

[Book]

Y