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Can I read Conditional expectation and the Bergman projection on EtoBox?
Conditional expectation and the Bergman projection by Brent J. Carswell; Michael I. Stessin is a Mathematics article available to read on EtoBox.
What is Conditional expectation and the Bergman projection about?
For any σ -algebra of measurable subsets of the unit disk generated by a finite Blaschke product, we prove that the associated conditional expectation operator commutes with the Bergman projection operator if and only if the σ -algebra is generated by a monomial. In the process, a formula for the conditional expectation operator (under certain assumptions) is obtained. When compared with earlier results of A.B. Aleksandrov concerning conditional expectation associated with σ -algebras of measurable subsets of the circle, our results exhibit a stark contrast between the way conditional expectation operators act in the Bergman and Hardy space settings.
Who reads Conditional expectation and the Bergman projection?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Brent J. Carswell; Michael I. Stessin
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-247X)
- Published
- 2008
- Language
- EN
- Field
- Mathematics (Physical Sciences)