Concentration of the L{sub 1}-norm of trigonometric polynomials and entire functions
Journal Article
·
· Sbornik. Mathematics
- Steklov Mathematical Institute of Russian Academy of Sciences (Russian Federation)
- M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow (Russian Federation)
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.
- OSTI ID:
- 22364221
- Journal Information:
- Sbornik. Mathematics, Vol. 205, Issue 11; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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