Series expansions in Fréchet spaces and their duals, construction of Fréchet frames

DOI10.1016/j.jat.2011.06.010zbMath1231.42030arXiv0809.4647OpenAlexW2592691748MaRDI QIDQ643348

Stevan Pilipović, Diana T. Stoeva

Publication date: 28 October 2011

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.4647

zbMATH Keywords

Fréchet spaceBanach frameFréchet frame

Mathematics Subject Classification ID

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

Related Items (5)

Frames, Semi-Frames, and Hilbert Scales ⋮ Unnamed Item ⋮ FRÉCHET FRAMES, GENERAL DEFINITION AND EXPANSIONS ⋮ Shrinking and boundedly complete Schauder frames in Fréchet spaces ⋮ Localization of Fréchet frames and expansion of generalized functions

Cites Work

• Frame expansions in separable Banach spaces
• Banach spaces related to integrable group representations and their atomic decompositions. I
• Banach spaces related to integrable group representations and their atomic decompositions. II
• Intrinsic localization of frames
• Describing functions: Atomic decompositions versus frames
• Tight wavelet frames in Lebesgue and Sobolev spaces
• Localization of frames. II
• Localized frames are finite unions of Riesz sequences
• Localization of frames, Banach frames, and the invertibility of the frame operator
• Generalization of Zemanian Spaces of Generalized Functions which Have Orthonormal Series Expansions
• Perturbations of Banach Frames and Atomic Decompositions
• \(p\)-frames and shift invariant subspaces of \(L^p\)
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