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On Taylor Coefficients of Entire Functions Integrable against Exponential Weights
Author(s) -
Blasco Oscar,
Galbis Antonio
Publication year - 2001
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200103)223:1<5::aid-mana5>3.0.co;2-o
Subject(s) - mathematics , integrable system , taylor series , entire function , lebesgue integration , norm (philosophy) , lp space , exponential function , mathematical analysis , lebesgue measure , taylor's theorem , standard probability space , locally integrable function , pure mathematics , banach space , political science , law
In this paper we shall analyze the Taylor coefficients of entire functions integrable against $d\mu _p (z) = {{p} \over {2\pi}} e^{- \mid z \mid ^p} \mid z \mid ^{p-2} d\sigma (z)$ where dσ stands for the Lebesgue measure on the plane and p ∈ ℕ, as well as the Taylor coefficients of entire functions in some weighted sup–norm spaces.