The closedness of shift invariant subspaces in Lp,q(Rd+1).
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ABSTRACT:
SUBMITTER: Zhang Q
PROVIDER: S-EPMC6061598 | biostudies-literature | 2018
REPOSITORIES: biostudies-literature
Publications
The closedness of shift invariant subspaces in Lp,q(Rd+1).
Journal of inequalities and applications 20180706 1
In this paper, we consider the closedness of shift invariant subspaces in Lp,q(Rd+1) . We first define the shift invariant subspaces generated by the shifts of finite functions in Lp,q(Rd+1) . Then we give some necessary and sufficient conditions for the shift invariant subspaces in Lp,q(Rd+1) to be closed. Our results improve some known results in (Aldroubi et al. in J. Fourier Anal. Appl. <b>7</b>:1-21, 2001). ...[more]
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