We introduce and develop the concept of oblique duality for fusion frames. This concept provides a mathematical framework to deal with problems in distributed signal processing where the signals considered as elements in ...

We characterize those frames on a Hilbert space H which can be represented as the image of an orthonormal basis by an oblique projection defined on an extension K of H. We show that all frames with infinite excess, and ...

The response of an antiferromagnetic film to incident radiation at oblique incidence is studied in the nonlinear regime. For given values of the frequency and incidence angle, the reflectivity of a film of arbitrary thickness ...

In this paper we study some aspects of oblique duality between finite sequences of vectors FF and GG lying in finite dimensional subspaces WW and VV, respectively. We compute the possible eigenvalue lists of the frame ...

In this work, the consistent sampling requirement of signals is studied. We establish how this notion is related with certain set of projectors which are selfadjoint with respect to a semi-inner product. We extend previous ...

The partial isometries and the positive semidefinite operators which appear as factors of polar decompositions of bounded linear idempotent operators in a Hilbert space are characterized.

A generalization with singular weights of Moore–Penrose generalized inverses of closed range operators in Hilbert spaces is studied using the notion of compatibility of subspaces and positive operators.