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Title: Concentration of the L{sub 1}-norm of trigonometric polynomials and entire functions

For any sufficiently large n, the minimal measure of a subset of [−π,π] on which some nonzero trigonometric polynomial of order ≤n gains half of the L{sub 1}-norm is shown to be π/(n+1). A similar result for entire functions of exponential type is established. Bibliography: 13 titles.
Authors:
 [1] ;  [2]
  1. Steklov Mathematical Institute of Russian Academy of Sciences (Russian Federation)
  2. M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
22364221
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 11; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; CALCULATION METHODS; GAIN; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; POLYNOMIALS