Invariance Properties of Thematic Factorizations of Matrix Functions
β Scribed by R.B. Alexeev; V.V. Peller
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 178 KB
- Volume
- 179
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We provide a bijection between the set of factorizations, that is, ordered (n -1)tuples of transpositions in S n whose product is (12...n), and labelled trees on n vertices. We prove a refinement of a theorem of J. DΓ©nes (1959, Publ. Math. Inst. Hungar. Acad. Sci. 4, 63-71) that establishes new tree
## 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