Multidimensional analogs of theorems about the density of sums of shifts of a single function

DOI10.1134/s0001434623050139zbMath1528.46027OpenAlexW4381331277WikidataQ121742868 ScholiaQ121742868MaRDI QIDQ6169442

N. A. Dyuzhina

Publication date: 11 July 2023

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434623050139

zbMATH Keywords

approximationdensity\(L_p\) spacessums of shifts

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) Fourier series and coefficients in several variables (42B05)

Cites Work

• Unnamed Item
• Convergence to zero of exponential sums with positive integer coefficients and approximation by sums of shifts of a single function on the line
• Density of sums of shifts of a single vector in sequence spaces
• Asymptotically neutral distributions of electrons and polynomial approximation
• Approximation by sums of shifts of a single function on the circle
• Density of a semigroup in a Banach space

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