Distribution frames and bases

DOI10.1007/s00041-018-09659-5OpenAlexW2904727462MaRDI QIDQ2003627

Salvatore Triolo, Francesco Tschinke, Camillo Trapani

Publication date: 9 July 2019

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.08472

zbMATH Keywords

distributionsframesbasesrigged Hilbert spaces

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (7)

Localization of the spectra of dual frames multipliers ⋮ Some perturbation results for quasi-bases and other sequences of vectors ⋮ Groups, Jacobi functions, and rigged Hilbert spaces ⋮ Unnamed Item ⋮ Riesz-Fischer maps, semi-frames and frames in rigged Hilbert spaces ⋮ PIP-space valued reproducing pairs of measurable functions ⋮ Groups, special functions and rigged Hilbert spaces

Cites Work

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• Pseudoframes for subspaces with applications
• Reproducing pairs and Gabor systems at critical density
• Reproducing pairs of measurable functions
• Frames and bases. An introductory course
• Multipliers for continuous frames in Hilbert spaces
• Non-Selfadjoint Operators in Quantum Physics
• Reproducing pairs and the continuous nonstationary Gabor transform on LCA groups
• Non-self-adjoint hamiltonians defined by Riesz bases
• The Spectral Representation of Normal Operators on a Rigged Hilbert Space
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