Two parameterizations of oblique duals of a given frame sequence are applied to show that
the sum of a frame sequence and one of its oblique duals may not be a frame sequence …

An extension of two Bessel sequences to oblique dual frame sequences and its applications
to shift-invariant spaces are considered. The best-known situation where this kind of …

In this paper we study some aspects of oblique duality between finite sequences of vectors F
and G lying in finite dimensional subspaces W and V, respectively. We compute the possible …

We present a collection of necessary and sufficient conditions for the existence of a Parseval
oblique dual (in an appropriate subspace) of a frame sequence. This result extends the …

Let W and M be two finite dimensional subspaces of a Hilbert space H such that H= W⊕
M⊥, and let [Formula: see text] denote the oblique projection with range W and nullspace …

Given a closed subspace S of a Hilbert space H, we study the sets F _ S of pseudo-frames,
CF _ S of commutative pseudo-frames and X _ S of dual frames for S, via the (well known) …

In this article, we address the problem of reconstructing an element in a Hilbert space from
its samples by means of a weighted least square approximation. We show how this problem …

In this paper, we consider oblique dual frames and particularly, we obtain some of their
characterizations. Among other things, special attention is devoted to the study of the effect …

En la teoría de marcos se han considerado varios problemas de investigación que se
encuentran relacionados con algunos tópicos centrales de otras áreas del análisis funcional …