l^p -linear independence of the system of integer translates (CROSBI ID 216209)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Slamić, Ivana
engleski
l^p -linear independence of the system of integer translates
Various properties of the system B_ψ of integer translates of a square integrable function ψ∈L2(R) can be completely described in terms of the periodization function p_ψ(ξ)=∑k∈Z|ψˆ(ξ+k)|2 . In this paper, we consider the problem of l^p -linear independence, where p>2 . The results we present include the method of construction for one type of counterexamples to several naturally taken conjectures, a new sufficient condition for l^p -linear independence and a characterization theorem having an additional assumption on B_ψ . In the latter, we obtain the characterization in terms of the sets of multiplicity of Lebesgue measure zero.
Integer translates ; l^p -linear independence ; sets of uniqueness
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
20 (4)
2014.
766-783
objavljeno
1069-5869
1531-5851
10.1007/s00041-014-9332-7