Product formulas in functional calculi for sectorial operators
Functional Analysis
2014-09-30 v2
Abstract
We study the product formula in the framework of (unbounded) functional calculus of sectorial operators . 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.
Cite
@article{arxiv.1309.0318,
title = {Product formulas in functional calculi for sectorial operators},
author = {Charles Batty and Alexander Gomilko and Yuri Tomilov},
journal= {arXiv preprint arXiv:1309.0318},
year = {2014}
}
Comments
This is the authors accepted manuscript for a paper being published in Mathematische Zeitschrift. The final publication is available at Springer via http://dx.doi.org/10.1007/s00209-014-1378-3