Analytic representations of sequences in Lp spaces, 1 ≤ p < ∞
Author(s) -
Vesna Manova Erakovikj,
Stevan Pilipović,
Vasko Rečkovski
Publication year - 2017
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1707959e
Subject(s) - mathematics , analytic function , sequence (biology) , convergence (economics) , representation (politics) , boundary values , product (mathematics) , pure mathematics , algebra over a field , discrete mathematics , mathematical analysis , boundary value problem , geometry , genetics , politics , political science , law , economics , biology , economic growth
In this paper we consider a sequence of functions in Lp(R), 1 ≤ p < ∞and, in the second part, we include a sequence of real analytic functions without real roots. We obtain several results regarding their convergence or the convergence of the sequence of their analytic representations. We, also, give results about the analytic representation of the product of the boundary functions and other additional results.
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