Systems of dilated functions: completeness, minimality, basisness

DOI10.1007/s10688-017-0188-xzbMath1392.46015arXiv1612.06791OpenAlexW2963523570MaRDI QIDQ1695241

Boris S. Mityagin

Publication date: 7 February 2018

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

Full work available at URL: https://arxiv.org/abs/1612.06791

zbMATH Keywords

completenessbasesminimality of systems of functions\(L^p\) spaces

Mathematics Subject Classification ID

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) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (3)

Binomials whose dilations generate $H^2(\mathbb {D})$ ⋮ A multi-term basis criterion for families of dilated periodic functions ⋮ The periodic dilation completeness problem: cyclic vectors in the Hardy space over the infinite‐dimensional polydisk

Cites Work

• A Hilbert space of Dirichlet series and systems of dilated functions in \(L^ 2(0,1)\)
• Multiparameter weights with connections to Schauder bases
• In a shadow of the RH: cyclic vectors of Hardy spaces on the Hilbert multidisc
• Approximation by \(\{f(kx)\}\)

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