Published November 30, 2014
| Version v1
Journal article
Concentration of the L1-norm of trigonometric polynomials and entire functions
Creators
- 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)
Description
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 L1-norm is shown to be π/(n+1). A similar result for entire functions of exponential type is established. Bibliography: 13 titles
Availability note (English)
Available from http://dx.doi.org/10.1070/SM2014v205n11ABEH004431Additional details
Identifiers
Publishing Information
- Journal Title
- Sbornik. Mathematics
- Journal Volume
- 205
- Journal Issue
- 11
- Journal Page Range
- p. 1620-1649
- ISSN
- 1064-5616
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 46069553
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- CALCULATION METHODS; GAIN; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; POLYNOMIALS
- Descriptors DEC
- AMPLIFICATION; FUNCTIONS