26 citations · 53 across the 24 of their papers we have counts for
Showing 2024Show all
2 papers · 1 filter
math.FA2024
Rational approximation of operator semigroups via the -calculus
Alexander Gomilko, Yuri Tomilov
We improve the classical results by Brenner and Thomée on rational approximations of operator semigroups. In the setting of Hilbert spaces, we introduce a finer regularity scale fo…
math.FA2024
Rational approximation of holomorphic semigroups revisited
Charles Batty, Alexander Gomilko, Yuri Tomilov
Using a recently developed -calculus we propose a unified approach to the study of rational approximations of holomorphic semigroups on Banach spaces. We provide unifie…