Almost-distribution cosine functions and integrated cosine functions
Volume 166 / 2005
Studia Mathematica 166 (2005), 171-180 MSC: 47D09, 47D99, 26A33. DOI: 10.4064/sm166-2-3
We introduce the notion of almost-distribution cosine functions in a setting similar to that of distribution semigroups defined by Lions. We prove general results on equivalence between almost-distribution cosine functions and $\alpha $-times integrated cosine functions.