scientific article; zbMATH DE number 7674602

MaRDI QIDQ5887862

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Publication date: 14 April 2023

Full work available at URL: http://bharataganitaparisad.com/wp-content/uploads/2018/05/chapter-4-68-1.pdf

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zbMATH Keywords

perturbationframesBanach framesFréchet frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Cites Work

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• Banach spaces related to integrable group representations and their atomic decompositions. I
• Series expansions in Fréchet spaces and their duals, construction of Fréchet frames
• Banach spaces related to integrable group representations and their atomic decompositions. II
• On Banach frames
• Describing functions: Atomic decompositions versus frames
• The art of frame theory
• On the stability of frames and Riesz bases
• Analysis of conditions for frame functions, examples with the orthogonal functions
• Painless nonorthogonal expansions
• Frames, bases and group representations
• ON PERTURBATION OF BANACH FRAMES
• ON STABILITY OF BANACH FRAMES
• A brief introduction to Hilbert space frame theory and its applications
• A Class of Nonharmonic Fourier Series

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