On the stability of conditional bases in \(L^2[-\pi,\pi]\)

DOI10.3836/TJM/1249648419zbMath1184.42027OpenAlexW2050817661MaRDI QIDQ841451

Akihiro Nakamura

Publication date: 16 September 2009

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1249648419

zbMATH Keywords

conditional basesRiesz basesMuckenhoupt condition \((A_2)\)

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Nontrigonometric harmonic analysis (42C99)

Cites Work

• Basis properties and complements of complex exponential systems
• On operators generating conditional bases in a Hilbert space
• On the Stability of Exponential Bases in L 2 (-π, π)
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
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