Equal-norm Parseval \(K\)-frames in Hilbert spaces with a new inequality

DOI10.1186/S13660-022-02862-5zbMath1509.42042OpenAlexW4296946500MaRDI QIDQ6038920

Gholamreza Rahimlou, V. Sadri

Publication date: 3 May 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-022-02862-5

zbMATH Keywords

Parseval frames\(K\)-frames\(K\)-dual frames

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Cites Work

• Some properties of \(K\)-frames in Hilbert spaces
• Frames for operators
• The art of frame theory
• Some constructions of \(K\)-frames and their duals
• Equal-norm tight frames with erasures
• Frames and bases. An introductory course
• The wavelet transform, time-frequency localization and signal analysis
• Pre-Frame Operators, Besselian Frames, and Near-Riesz Bases in Hilbert Spaces
• Representation theory for high-rate multiple-antenna code design
• Geometrically uniform frames
• Continuous and Discrete Wavelet Transforms
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• A Class of Nonharmonic Fourier Series
• Quantized frame expansions with erasures

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