21 citations · 33 across the 6 of their papers we have counts for
9 papers
Approximate oblique duality for fusion frames
Jorge P. Díaz, Sigrid B. Heineken, Patricia M. Morillas
Fusion frames are a convenient tool in applications where we deal with a large amount of data or when a combination of local data is needed. Oblique dual fusion frames are suitable…
Generalized inverses, ideals, and projectors in rings
Patricia Mariela Morillas
The theory of generalized inverses of matrices and operators is closely connected with projections, i.e., idempotent (bounded) linear transformations. We show that a similar situat…
A Survey of Fusion Frames in Hilbert Spaces
Lukas Köhldorfer, Peter Balazs, Pete Casazza +4
Fusion frames are a very active area of research today because of their myriad of applications in pure mathematics, applied mathematics, engineering, medicine, signal and image pro…
Expressions and characterizations for the Moore-Penrose inverse
Patricia Mariela Morillas
Under certain conditions, we prove that the Moore-Penrose inverse of a sum of operators is the sum of the Moore-Penrose inverses. From this, we derive expressions and characterizat…
Approximate oblique dual frames
Jorge P. Díaz, Sigrid B. Heineken, Patricia M. Morillas
In representations using frames, oblique duality appears in situations where the analysis and the synthesis has to be done in different subspaces. In some cases, we cannot obtain a…
Balanced frames: a useful tool in signal processing with good properties
Sigrid B. Heineken, Patricia M. Morillas, Pablo Tarazaga
So far there has not been paid attention to frames that are balanced, i.e. those frames which sum is zero. In this paper we consider balanced frames, and in particular balanced uni…
Oblique dual Fusion Frames
Sigrid B. Heineken, Patricia M. Morillas
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 whe…
On the minimizers of the fusion frame potential
Sigrid B. Heineken, Juan P. Llarena, Patricia M. Morillas
We study the minimizers of the fusion frame potential in the case that both the weights and the dimensions of the subspaces are fixed and not necessarily equal. Using a concept of…
Properties of finite dual fusion frames
Sigrid B. Heineken, Patricia M. Morillas
A new notion of dual fusion frame has been recently introduced by the authors. In this article that notion is further motivated and it is shown that it is suitable to deal with que…