Wavelets as unconditional bases in \(L_p(\mathbb{R})\)

DOI10.1007/BF01274190zbMath1055.42509MaRDI QIDQ1283582

Przemysław Wojtaszczyk

Publication date: 1999

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59598

zbMATH Keywords

unconditional basisunimodular wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

Unconditional convergence for wavelet frame expansions ⋮ A Bernstein type inequality associated with wavelet bi-frame decomposition ⋮ Random series in $L^p(X,\Sigma,\mu)$ using unconditional basic sequences and $l^p$ stable sequences: A result on almost sure almost everywhere convergence ⋮ On wavelet polynomials and Weyl multipliers ⋮ On weak non-equivalence of wavelet–like systems in L₁ ⋮ Quantifying democracy of wavelet bases in Lorentz spaces ⋮ Unconditional bases of wavelets in local fields ⋮ Best approximation with wavelets in weighted Orlicz spaces ⋮ Hilbert transform of a wavelet system: boundedness of orthogonal projections in the uniform norm ⋮ Wavelet frame bijectivity on Lebesgue and Hardy spaces ⋮ Unconditional wavelet bases in Lebesgue spaces ⋮ Wavelets, Orlicz spaces, and greedy bases ⋮ Results on Non-linear Approximation for Wavelet Bases in Weighted Function Spaces ⋮ Wavelet approximation of distributions with bounded variation derivatives ⋮ Stability of nearly optimal decompositions in Fourier analysis ⋮ A Jackson-type inequality associated with wavelet bases decomposition ⋮ On the equivalence of brushlet and wavelet bases ⋮ Highly nonstationary wavelet packets ⋮ Pre-wavelet bases in Lebesgue spaces

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