Asymptotics of the Lebesgue constants for a $d$-dimensional simplex

DOI10.1090/proc/15438zbMath1465.42011arXiv2004.12236OpenAlexW3111479217MaRDI QIDQ4990346

Elijah Liflyand, Yurii S. Kolomoitsev

Publication date: 28 May 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12236

zbMATH Keywords

anisotropyDirichlet kernelLebesgue constantsasymptotic formula\(d\)-dimensional simplex

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

• Triangular Dirichlet kernels and growth of \(L^{p}\) Lebesgue constants
• Multiple trigonometric series with lexicographically monotone coefficients
• Lebesgue constants of polyhedra
• Asymptotic behavior of the Dirichlet kernel of Fourier sums with respect to a polygon
• Asymptotics of the Lebesgue constants for bivariate approximation processes
• On multivariate projection operators
• Lebesgue constants for polyhedral sets and polynomial interpolation on Lissajous-Chebyshev nodes
• Some problems in the theory of multiple trigonometric series
• On the growth of Lebesgue constants for convex polyhedra
• Growth of 𝐿^{𝑝} Lebesgue constants for convex polyhedra and other regions
• Comparison of the \(L^1\)-norms of total and truncated exponential sums
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotics of the Lebesgue constants for a $d$-dimensional simplex