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pro vyhledávání: '"Morillas, Patricia M."'
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 in situations where the analysis for the data and its subsequent synt
Externí odkaz:
http://arxiv.org/abs/2401.16539
Publikováno v:
Applied Mathematics and Computation, 2023
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 an explicit expression for the oblique duals and in others there exists
Externí odkaz:
http://arxiv.org/abs/2012.11452
Publikováno v:
In Applied Mathematics and Computation 1 September 2023 452
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 unit norm tight frames, in finite dimensional Hilbert spaces. Here we dis
Externí odkaz:
http://arxiv.org/abs/1904.00920
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 a Hilbert space and under ce
Externí odkaz:
http://arxiv.org/abs/1612.05493
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 irregularity we provide a description of the local (that are also glob
Externí odkaz:
http://arxiv.org/abs/1605.02200
Publikováno v:
Linear Algebra Appl. 453: 1-27, 2014
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 questions posed in a finite-dimensional real or complex Hilbert space, re
Externí odkaz:
http://arxiv.org/abs/1509.07724
Publikováno v:
In Linear Algebra and Its Applications 15 July 2014 453:1-27
Autor:
Heineken, Sigrid B.1 sheinek@dm.uba.ar, Morillas, Patricia M.2,3
Publikováno v:
Numerical Functional Analysis & Optimization. 2018, Vol. 39 Issue 7, p800-824. 25p.
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