|
" Resolution space; operators and systems "
[by] R. Saeks.
| Document Type
|
:
|
BL
|
| Record Number
|
:
|
754176
|
| Doc. No
|
:
|
b574138
|
| Main Entry
|
:
|
[by] R. Saeks.
|
| Title & Author
|
:
|
Resolution space; operators and systems\ [by] R. Saeks.
|
| Publication Statement
|
:
|
Berlin: New York, Springer-Verlag, 1973
|
| Series Statement
|
:
|
Lecture notes in economics and mathematical systems, 82.
|
| Page. NO
|
:
|
(x, 267 pages) illustrations.
|
| ISBN
|
:
|
3642807356
|
|
|
:
|
: 9783642807350
|
| Contents
|
:
|
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.
|
| Subject
|
:
|
Function spaces.
|
| Subject
|
:
|
Linear operators.
|
| Subject
|
:
|
System analysis.
|
| Added Entry
|
:
|
Richard Saeks
|
| |