Journal article
CONTRACTIVE EXTENSION PROBLEMS FOR MATRIX VALUED ALMOST PERIODIC FUNCTIONS OF SEVERAL VARIABLES
Journal of operator theory, Vol.47(1)
2002
Abstract
Problems of Nehari type are studied for matrix valued k-variable almost periodic Wiener functions: Find contractive k-variable almost periodic Wiener functions having prespecified Fourier coefficients with indices in a given halfspace of ℝk. We characterize the existence of a solution, give a construction of the solution set, and exhibit a particular solution that has a certain maximizing property. These results are used to obtain various distance formulas and multivariable almost periodic extensions of Sarason's theorem. In the periodic case, a generalization of Sarason's theorem is proved using a variation of the commutant lifting theorem. The main results are further applied to a model-matching problem for multivariable linear filters.
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Details
- Title
- CONTRACTIVE EXTENSION PROBLEMS FOR MATRIX VALUED ALMOST PERIODIC FUNCTIONS OF SEVERAL VARIABLES
- Creators
- LEIBA RodmanILYA M. SpitkovskyHUGO J. Woerdeman
- Publication Details
- Journal of operator theory, Vol.47(1)
- Publisher
- Theta Foundation
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Identifiers
- 991021866366404721
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