Observations on discretization of trigonometric polynomials with given spectrum

DOI10.1070/RM9857zbMath1430.42002OpenAlexW2905897398MaRDI QIDQ5377348

Boris S. Kashin, Vladimir N. Temlyakov

Publication date: 24 May 2019

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9857

zbMATH Keywords

trigonometric polynomialpolynomial with spectrum in a hyperbolic crossquasi-matrix system

Mathematics Subject Classification ID

Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items

Sampling discretization of integral norms of the hyperbolic cross polynomials, Sampling discretization and related problems, On sampling discretization in \(L_2\), Some improved bounds in sampling discretization of integral norms, Remarks on sampling discretization of integral norms of functions, Sampling discretization of the uniform norm, Sampling discretization error of integral norms for function classes, On optimal recovery in \(L_2\), Marcinkiewicz-type discretization of \(L^p\)-norms under the Nikolskii-type inequality assumption, Integral norm discretization and related problems

Cites Work

• Interlacing families. II: Mixed characteristic polynomials and the Kadison-Singer problem
• The Marcinkiewicz-type discretization theorems for the hyperbolic cross polynomials
• Exponential frames on unbounded sets
• On the Sidon inequality for trigonometric polynomials
• Pipage Rounding, Pessimistic Estimators and Matrix Concentration
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