Operator-valued multiplier theorems for causal translation-invariant operators with applications to control theoretic input-output stability
(2024)
Journal Article
Guiver, C., Logemann, H., & Opmeer, M. R. (in press). Operator-valued multiplier theorems for causal translation-invariant operators with applications to control theoretic input-output stability. Mathematics of Control, Signals, and Systems,
We prove an operator-valued Laplace multiplier theorem for causal translation-invariant linear operators which provides a characterization of continuity from~$H^\alpha(\mR,U)$ to~$H^\beta(\mR,U)$ (fractional~$U$-valued Sobolev spaces, $U$ a complex H... Read More about Operator-valued multiplier theorems for causal translation-invariant operators with applications to control theoretic input-output stability.