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FoCM

FoCM 2014 conference


Workshop A2 - Computational Harmonic Analysis, Image and Signal Processing

No date set

Finitely generated shift invariant spaces with extra invariance nearest to observed data

Carolina Mosquera

Universidad de Buenos Aires, CONICET, Argentina   -   mosquera@dm.uba.ar

Let m,N, M be a closed subgroup of Rd containing Zd and F={f1,,fm}L2(Rd). We study the problem of finding the shift invariant space V of length less or equal to which is also Minvariant such that V is ``closest'' to the functions F in the sense that V=argminVVMmj=1fjPVfj2,

where VM is the set of all shift invariant spaces V of length less or equal to which are also Minvariant, and PV is the orthogonal projection on V.

Also we consider this problem for a particular set of translation invariant spaces.

Joint work with Carlos Cabrelli (Universidad de Buenos Aires, CONICET, Argentina).

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