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 α-times integrated cosine functions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm166-2-3, author = {Pedro J. Miana}, title = {Almost-distribution cosine functions and integrated cosine functions}, journal = {Studia Mathematica}, volume = {166}, year = {2005}, pages = {171-180}, zbl = {1077.47047}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm166-2-3} }
Pedro J. Miana. Almost-distribution cosine functions and integrated cosine functions. Studia Mathematica, Tome 166 (2005) pp. 171-180. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm166-2-3/