caa a22 4500 463177169 CHVBK 20180406164828.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s10986-007-0033-7 doi (NATIONALLICENCE)springer-10.1007/s10986-007-0033-7 Norvidas S. Insitute of Mathematics and Informatics, Akademijos 4, LT-08663, Vilnius, Lithuania aut On localization of functions in the Bernstein space [Elektronische Daten] [S. Norvidas] For ϱ > 0, let $$L^1 (\mathbb{R})$$ be the closed subspace of L 1(ℝ) consisting of functions ƒ having the Fourier transforms ƒ concentrated in [−ϱ, ϱ]. Let a > 0. In this paper, we consider the problem of maximal localization of the L 1 norm on [−a, a] of functions from B ϱ 1 . More precisely, for a given a, we investigate the supremum of the quantity E a (ƒ) = ∫ −a a |ƒ(x)|dx over all ƒ from the unit ball of the space B ϱ 1 . Springer Science+Business Media, Inc., 2007 Fourier transform nationallicence function with compact spectrum nationallicence concentration of a function nationallicence best localization nationallicence σ -finite measure nationallicence Lithuanian Mathematical Journal Springer US 47/4(2007-10-01), 470-483 0363-1672 47:4<470 2007 47 10986 https://doi.org/10.1007/s10986-007-0033-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10986-007-0033-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Norvidas S. Insitute of Mathematics and Informatics, Akademijos 4, LT-08663, Vilnius, Lithuania aut NATIONALLICENCE 773 0- Lithuanian Mathematical Journal Springer US 47/4(2007-10-01), 470-483 0363-1672 47:4<470 2007 47 10986 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer