Uniform boundedness of some trigonometric polynomials of many variables
type: Item
instance of: scholarly article
title: Uniform boundedness of some trigonometric polynomials of many variables
zbMATH Open document ID: 0643.42001
DOI: 10.1007/BF01138721
published in: Mathematical Notes
publication date: 1987-01-01T00:00:00Z
review text: The paper deals with uniform boundedness of trigonometric polynomials of several variables \[ \sum_{(n_ 1,...,n_ m)\in A}\frac{\sin n_ 1x_ 1}{n_ 1}...\frac{\sin n_ mx_ m}{n_ m}, \] where the sum is taken over all ``integer'' points of an arbitrary domain \(A\subset (0,\infty)^ m\) which is ``convex with respect to all coordinate directions''.
Mathematics Subject Classification ID: 42A05
Mathematics Subject Classification ID: 42B99
zbMATH DE Number: 4048321
zbMATH Keywords: uniform boundedness
zbMATH Keywords: trigonometric polynomials
author: S. A. Telyakovskiĭ
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4048321