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``Compactly supported frames for spaces of distributions on the ball

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Publication:766217
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DOI10.1007/s00605-011-0291-7zbMath1239.42024OpenAlexW2094778136MaRDI QIDQ766217

George C. Kyriazis, Pencho P. Petrushev

Publication date: 23 March 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-011-0291-7

zbMATH Keywords

decompositionBesov spacesframesneedletsweighted Triebel-Lizorkin spaces


Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) General harmonic expansions, frames (42C15)


Related Items

On a discrete transform of homogeneous decomposition spaces, Gaussian bounds for the weighted heat kernels on the interval, ball, and simplex



Cites Work

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  • A discrete transform and decompositions of distribution spaces
  • On the construction of frames for spaces of distributions
  • Localized polynomial frames on the ball
  • Localized polynomial frames on the interval with Jacobi weights
  • Localized Tight Frames on Spheres
  • Decomposition of weighted Triebel-Lizorkin and Besov spaces on the ball
  • Summability of Fourier orthogonal series for Jacobi weight on a ball in ℝ^{𝕕}
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