Convergence to zero of exponential sums with positive integer coefficients and approximation by sums of shifts of a single function on the line

DOI10.1007/S10476-018-0204-2zbMath1413.42002OpenAlexW2808214409WikidataQ115605369 ScholiaQ115605369MaRDI QIDQ722372

P. A. Borodin, Sergei V. Konyagin

Publication date: 23 July 2018

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-018-0204-2

zbMATH Keywords

approximationconvergence almost everywhere\(L_p\) spacesum of shiftstrigonometric polynomial with positive integer coefficients

Mathematics Subject Classification ID

Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Trigonometric polynomials, inequalities, extremal problems (42A05) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (9)

Series with integer coefficients by systems of contractions and shifts of one function ⋮ Sergei Vladimirovich Konyagin turns 60 ⋮ Density of sums of shifts of a single vector in sequence spaces ⋮ Approximation by sums of shifts and dilations of a single function and neural networks ⋮ Multidimensional analogs of theorems about the density of sums of shifts of a single function ⋮ Integer expansion in systems of translates and dilates of a single function ⋮ Fourier-type series with integer coefficients in systems of contractions and shifts of a single function in spaces \(L_p\), \(p \geq 1\) ⋮ Density of derivatives of simple partial fractions in Hardy spaces in the half-plane ⋮ Density of sums of shifts of a single function in Hardy spaces on the half-plane

Cites Work

• Unnamed Item
• Unnamed Item
• Hardy's inequality and the \(L^ 1\) norm of exponential sums
• Approximation by simple partial fractions with constraints on the poles. II
• Integral concentration of idempotent trigonometric polynomials with gaps
• Littlewood-type problems on subarcs of the unit circle
• Sur une question de Pichorides
• Approximation by sums of shifts of a single function on the circle
• Density of a semigroup in a Banach space
• Tauberian theorems

This page was built for publication: Convergence to zero of exponential sums with positive integer coefficients and approximation by sums of shifts of a single function on the line