functional calculus in a sentence

Examples

1. This is the continuous functional calculus.
2. The spectral measures can be used to extend the continuous functional calculus to bounded Borel functions.
3. I might take a closer look at things related to Matrix exponential and Holomorphic functional calculus.
4. The compact case, described here, is a particularly simple instance of this functional calculus.
5. The assumption will be applied in its entirety in showing the homomorphism property of the functional calculus.
6. I know next to nothing about continuous functional calculus and that article isn't very helpful.
7. In general, one uses the Borel functional calculus to calculate a non-polynomial function such as.
8. For example, by properties of the Borel functional calculus, we see that for any unitary operator,
9. See below for their application to compact operators, and in holomorphic functional calculus for a more general discussion.
10. In this context the extension of holomorphic functions of a complex variable is developed as the holomorphic functional calculus.