Frames of periodic shift-invariant spaces

[摘要] This note studies Bessel sequences and frames of shift-invariant spaces generated by a countable set of periodic functions. We give characterizations under which the set of translations of the countable is a Bessel sequence or a frame in terms of spectral decompositions of some self-adjoint operators. (C) 2000 Academic Press.

[发布日期] 2000-12-01

[关键词] Bessel sequence;frame;shift-invariant space