Affine Bessel sequences and Nikishin’s example

DOI10.2298/FIL1704963MzbMath1488.42022OpenAlexW2593744763MaRDI QIDQ5006796

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Publication date: 17 August 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1704963m

zbMATH Keywords

Riesz basisaffine systemWalsh functionsBessel sequence

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier series and coefficients in several variables (42B05) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (1)

Sequences of dilations and translations in function spaces

Cites Work

• Unnamed Item
• Riesz basicity for general systems of functions
• Necessary and sufficient conditions for the Riesz basis property of the eigen- and associated functions of high-order differential operators on an interval
• Riesz bases generated by contractions and translations of a function on an interval
• Properties of spectral expansions corresponding to non-self-adjoint differential operators.
• Convergence of biorthogonal series in the system of contractions and translations of functions in the spaces \(L^p[0, 1\)]
• Series of a system \(\{\phi(nx)\}\)
• Multishifts in Hilbert spaces
• SOLVED AND UNSOLVED PROBLEMS IN THE THEORY OF TRIGONOMETRIC AND ORTHOGONAL SERIES

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