Analysis of conditions for frame functions, examples with the orthogonal functions

DOI10.1080/10652469.2010.541046zbMath1227.42036arXiv0811.3182OpenAlexW2158123942MaRDI QIDQ3015100

Stevan Pilipović, Diana T. Stoeva

Publication date: 8 July 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.3182

zbMATH Keywords

sequence spaceframesorthogonal basisCB property

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) General harmonic expansions, frames (42C15) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Discrete operational calculus (44A55)

Related Items (3)

Unnamed Item ⋮ FRÉCHET FRAMES, GENERAL DEFINITION AND EXPANSIONS ⋮ Localization of Fréchet frames and expansion of generalized functions

Cites Work

• Unnamed Item
• Unnamed Item
• Frame expansions in separable Banach spaces
• Describing functions: Atomic decompositions versus frames
• Localization of frames, Banach frames, and the invertibility of the frame operator
• Perturbations of Banach Frames and Atomic Decompositions

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