Non-orthogonal Fusion Frames of an Analytic Operator and Application to a One-Dimensional Wave Control System View Full Text


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Article Info

DATE

2019-04

AUTHORS

Hanen Ellouz, Ines Feki, Aref Jeribi

ABSTRACT

In this paper, we are mainly concerned with a one-dimensional wave control system. We assert the existence of non-orthogonal fusion frames by extending this problem to a theoretical one introduced by Sz. Nagy (Acta Sci Math Szeged 14, 1951). The key idea of this work is based on the estimate inspired from Sz. Nagy (1951) using the spectral analysis method. More precisely, we prove that if the eigenvalues of the unperturbed operator are isolated and with finite multiplicity, we can construct non-orthogonal fusion frames. More... »

PAGES

52

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00009-019-1318-x

DOI

http://dx.doi.org/10.1007/s00009-019-1318-x

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1112685022


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