LOCALIZABLE OPERATORS AND THE CONSTRUCTION OF LOCALIZED FRAMES

作者:Futamura Fumiko*
来源:Proceedings of the American Mathematical Society, 2009, 137(12): 4187-4197.
DOI:10.1090/s0002-9939-09-09995-x

摘要

We introduce the notion of localizable operators with respect to frames and prove the boundedness of such operators on families of Banach spaces. This generalizes previous results for specific operators, such as pseudo-differential operators on modulation spaces. We also use this notion to provide sufficient conditions for the construction of frames which have the localization property.