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Approximate oblique duality for fusion frames

Autor: Díaz, Jorge P., Heineken, Sigrid B., 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

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Generalized inverses, ideals, and projectors in rings

Autor: Morillas, Patricia Mariela

Publikováno v: Filomat 38 (19) 6715-6741, 2024

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 situation occurs in any associative ring $\mathcal{R}$ with a unit $1 \neq 0

Externí odkaz: http://arxiv.org/abs/2304.06149

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A Survey of Fusion Frames in Hilbert Spaces

Autor: Köhldorfer, Lukas, Balazs, Peter, Casazza, Pete, Heineken, Sigrid, Hollomey, Clara, Morillas, Patricia, Shamsabadi, Mitra

Publikováno v: Sampling, Approximation, and Signal Analysis (Harmonic Analysis in the Spirit of J. Rowland Higgins), S. Casey, M. Dodson, J. Paulo, J. Ferreira and A. Zayed (Eds.) (2024)

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 processing and much more. They provide a great flexibility for designing

Externí odkaz: http://arxiv.org/abs/2303.01202

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