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math.FA2021
The abstract Cauchy problem in locally convex spaces
Karsten Kruse
We derive sufficient criteria for the uniqueness and existence of solutions of the abstract Cauchy problem in locally convex Hausdorff spaces. Our approach is based on a suitable n…
math.FA2021★ 11 cited
On equicontinuity and tightness of bi-continuous semigroups
Karsten Kruse, Felix L. Schwenninger
In contrast to classical strongly continuous semigroups, the study of bi-continuous semigroups comes with some freedom in the properties of the associated locally convex topology.…
math.FA2021★ 1 cited
Asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions
Karsten Kruse
We study Fourier and Laplace transforms for Fourier hyperfunctions with values in a complex locally convex Hausdorff space. Since any hyperfunction with values in a wide class of l…