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Gabor frame sets of invariance: a Hamiltonian approach to Gabor frame deformations

In this work we study families of pairs of window functions and lattices which lead to Gabor frames which all possess the same frame bounds. To be more precise, for every generalized Gaussian g, we will construct an uncountable family of lattices [Formula: see text] such that each pairing of g with...

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Detalles Bibliográficos
Autor principal: Faulhuber, Markus
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4959141/
https://www.ncbi.nlm.nih.gov/pubmed/27512373
http://dx.doi.org/10.1007/s11868-016-0146-z