Factorization of piecewise valued matrix functions and its applications
β Scribed by B.A. Kon
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 789 KB
- Volume
- 128
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We construct an algorithm that allows us to determine an effective canonical factorization of some nonβrational matrixβvalued functions. For those matrixβvalued functions whose entries can be represented through a innerouter factorization (when the outer function is rational) it is show
We show that every matrix valued generalized Nevanlinna function can be represented w a u-resolvent of a certain selfadjoint relation acting in a Pontryagin space. The negative index of this Pontryagin space may be larger than the number of negative squares of the given function. The minimal index