GENERALIZED BESSEL AND FRAME MEASURES

DOI10.22190/FUMI2001217ZzbMath1488.28023arXiv1902.06434OpenAlexW3016471569MaRDI QIDQ5009382

Fariba Zeinal Zadeh Farhadi, Mohammad Sadegh Asgari, M. R. Mardanbeigi, Mahdi Azhini

Publication date: 20 August 2021

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.06434

zbMATH Keywords

semi-inner productspectral measurePlancherel theoremFourier frameframe measureBessel measure

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) General harmonic expansions, frames (42C15) Classical measure theory (28A99)

Cites Work

• Frame expansions in separable Banach spaces
• On the Beurling dimension of exponential frames
• Bessel sequences of exponentials on fractal measures
• Fourier frequencies in affine iterated function systems
• Uniformity of measures with Fourier frames
• Continuous and discrete Fourier frames for fractal measures
• An introduction to frames and Riesz bases

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