Hilbert transform of a wavelet system: boundedness of orthogonal projections in the uniform norm

DOI10.3103/S1068362312040012zbMath1302.42053MaRDI QIDQ470329

Anna Kamont, Gegham Gevorkyan

Publication date: 12 November 2014

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

Hilbert transformwaveletorthogonal projection\(L^\infty\)-boundedness

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Cites Work

• Wavelets as unconditional bases in \(L_p(\mathbb{R})\)
• Local convergence for wavelet expansions
• On the trigonometric conjugate to the general Franklin system
• Extensions of Hardy spaces and their use in analysis
• Pointwise convergence of wavelet expansions
• On the Hilbert Transform of Wavelets
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