%0 Journal Article
%T Product formulas in functional calculi for sectorial operators
%A Charles Batty
%A Alexander Gomilko
%A Yuri Tomilov
%J Mathematics
%D 2013
%I arXiv
%R 10.1007/s00209-014-1378-3
%X We study the product formula $(fg)(A) = f(A)g(A)$ in the framework of (unbounded) functional calculus of sectorial operators $A$. 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.
%U http://arxiv.org/abs/1309.0318v2