It is proved that if a group of unitary operators and a local semigroup of isometries satisfy the Weyl commutation relations then they can be extended to groups of unitary operators which also satisfy the commutation relations. As an application a result about the extension of a class of locally def
A Local Functional Calculus and Related Results on the Single-Valued Extension Property
✍ Scribed by Lawrence R. Williams
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2003
- Tongue
- English
- Weight
- 227 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0378-620X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
dedicated to professor leonard gross on the occasion of his 70th birthday Functions of bounded variation (BV functions) are defined on an abstract Wiener space (E, H, +) in a way similar to that in finite dimensions. Some characterizations are given, which justify describing a BV function as a funct
## Abstract This paper contains further steps towards a Szegö theory for orthogonal rational matrix‐valued functions on the unit circle 𝕋. It continues the investigations started in [18]–[20]. Hereby we are guided by former work of Bultheel, González–Vera, Hendriksen, and Njåstad on scalar orthogon