On Regular Generalized Sampling in T-Invariant Subspaces of a Hilbert Space: An Overview. (25th April 2020)

• Record Type: Journal Article
• Authors: García, Antonio G.; Muñoz-Bouzo, María J.; Pérez-Villalón, Gerardo
• Is Part Of: Numerical functional analysis and optimization. Volume 41:Number 6(2020)
• Page Start: 685
• Page End: 709
• Publication Date: 2020-04-25
• Subjects: Dual frames -- Riesz sequences -- sampling expansions -- T-invariant subspaces; 42C15 -- 94A20; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2019.1667827
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: A regular generalized sampling theory in some structured T -invariant subspaces of a Hilbert space H, where T denotes a bounded invertible operator in H, is established in this paper. This is done by walking through the most important cases which generalize the usual unitary sampling settings.