Journal article
Product formulas in functional calculi for sectorial operators
- Abstract:
- We study the product formula (fg)(A)=f(A)g(A)(fg)(A)=f(A)g(A) in the framework of (unbounded) functional calculus of sectorial operators AA . We give an abstract result, and, as corollaries, we obtain new product formulas for the holomorphic functional calculus, an extended Stieltjes functional calculus and an extended Hille–Phillips functional calculus. Our results generalise previous work of Hirsch, Martinez and Sanz, and Schilling.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Author's original, pdf, 374.3KB, Terms of use)
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- Publisher copy:
- 10.1007/s00209-014-1378-3
Authors
- Publisher:
- Springer-Verlag Berlin Heidelberg
- Journal:
- Mathematische Zeitschrift More from this journal
- Volume:
- 279
- Issue:
- 1-2
- Pages:
- 479–507
- Publication date:
- 2014-09-17
- Acceptance date:
- 2014-05-17
- DOI:
- ISSN:
-
1432-1823 and 0025-5874
- Keywords:
- Pubs id:
-
pubs:653076
- UUID:
-
uuid:5eb72201-ffa2-4655-91ad-1f9a24d70c1e
- Local pid:
-
pubs:653076
- Source identifiers:
-
653076
- Deposit date:
-
2016-10-20
Terms of use
- Copyright holder:
- Springer-Verlag Berlin Heidelberg
- Copyright date:
- 2014
- Notes:
- This is a pre-print version of a journal article published by Springer in Mathematische Zeitschrift on 2014-09-17, available online: http://dx.doi.org/10.1007/s00209-014-1378-3
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