The Dirichlet ring and unconditional bases in \(L_2[0, 2\pi]\)

DOI10.1007/s10688-013-0028-6zbMath1315.46015OpenAlexW2061766009MaRDI QIDQ482562

Artur Sowa

Publication date: 5 January 2015

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-013-0028-6

zbMATH Keywords

Riesz basisDirichlet seriesunconditional basisfast transform

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (8)

A nonlocal transform to map and track quantum dynamics ⋮ Factorizing matrices by Dirichlet multiplication ⋮ On asymptotic behavior of Dirichlet inverse ⋮ Natural reconstruction coordinates for imperfect TRASE MRI ⋮ Image processing via simulated quantum dynamics ⋮ On an eigenvalue problem with a reciprocal-linear term ⋮ The Riordan-Dirichlet group ⋮ Signals generated in memristive circuits

Cites Work

• A Hilbert space of Dirichlet series and systems of dilated functions in \(L^ 2(0,1)\)
• Factorizing matrices by Dirichlet multiplication
• On convergence and growth of partial sums of Fourier series
• Bari–Markus property for Riesz projections of 1D periodic Dirac operators
• ON THE BASIS PROBLEM OF THE EIGENFUNCTIONS OF AN ORDINARY DIFFERENTIAL OPERATOR
• On an eigenvalue problem with a reciprocal-linear term
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