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arXiv · 1309.0318

Product formulas in functional calculi for sectorial operators

Charles Batty·Alexander Gomilko·Yuri Tomilov
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Abstract

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.

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Charles Batty, Alexander Gomilko, Yuri Tomilov. 2014-09-29. Product formulas in functional calculi for sectorial operators. https://doi.org/10.1007/s00209-014-1378-3

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