Schatten properties,nuclearity and minimality of phase shift invariant spaces |
| |
Authors: | Joachim Toft |
| |
Affiliation: | Department of Mathematics, Linnæus University, Växjö, Sweden |
| |
Abstract: | We extend Feichtinger's minimality property on the smallest non-trivial time-frequency shift invariant Banach space, to the quasi-Banach case. Analogous properties are deduced for certain matrix spaces.We use these results to prove that the pseudo-differential operator is a Schatten-q operator from to and r-nuclear operator from to when for suitable p, q and r in . |
| |
Keywords: | primary 47Bxx 45P05 35S05 42B35 secondary 65F35 46A16 42C15 Matrices Modulation spaces Non-uniform expansions Minimality Singular values Nuclear operators |
本文献已被 ScienceDirect 等数据库收录! |
|