Open AccessThe Shannon-Kotelnikov wavelet in weighted spaces
Author(s) -
G Spartak Rafaelyan
Publication year - 2002
Publication title -
facta universitatis. series electronics and energetics/facta universitatis. series: electronics and energetics
Language(s) - English
Resource type - Journals
eISSN - 2217-5997
pISSN - 0353-3670
DOI - 10.2298/fuee0202253r
Subject(s) - mathematics , lp space , interpolation space , uniqueness , pure mathematics , equivalence (formal languages) , basis (linear algebra) , hilbert space , wavelet , lebesgue integration , discrete mathematics , mathematical analysis , banach space , functional analysis , computer science , geometry , artificial intelligence , biochemistry , chemistry , gene
The equivalence between interpolation, uniqueness and basicity in spaces of entire functions is one of the fundamental facts used in investigation of basis sets in weighted spaces of functions. Hilbert spaces of entire functions are naturally mapped onto several weighted Lebesgue spaces without changing the basis properties of a set. This approach makes it possible to use some well known results of the theory of entire functions for investigation of the Schannon-Kotelnikov system in the weighted Lebesgue spaces L2 Qx^ dx).