Riesz-Fischer sequences and lower frame bounds

DOI10.4171/ZAA/1079zbMath1002.42023OpenAlexW1968164705MaRDI QIDQ699300

Shidong Li, Peter G. Casazza, Ole Christensen, Alexander M. Lindner

Publication date: 14 January 2003

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1079

zbMATH Keywords

Riesz basisHilbert spacelower frame boundRiesz-Fischer sequence

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

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Spectral expansions of non-self-adjoint generalized Laguerre semigroups, Frames and weak frames for unbounded operators, Some perturbation results for quasi-bases and other sequences of vectors, Generalized frame operator, lower semiframes, and sequences of translates, Characterizing Riesz bases via biorthogonal Bessel sequences, Constructing Riesz-Fischer sequences from a Minimal sequence in a Hilbert space ℋ, Invertibility of multipliers, MOMENT PROBLEMS IN WEIGHTED \(L^2\) SPACES ON THE REAL LINE, Unnamed Item, A generalized trigonometric moment problem in a weighted \(L^2(- \infty ,0)\) space, Riesz-Fischer maps, semi-frames and frames in rigged Hilbert spaces, Functions with prescribed best linear approximations, Sesquilinear forms associated to sequences on Hilbert spaces, A moment problem in a weighted L^2 space on the real line

Cites Work

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• Interpolation in a Classical Hilbert Space of Entire Functions
• Frames of exponentials: Lower frame bounds for finite subfamilies and approximation of the inverse frame operator