Open AccessApplicability of multiplicative renormalization method for a certain function
Author(s) -
Izumi Kubo,
Hui-Hsiung Kuo,
Suat Namli
Publication year - 2008
Publication title -
communications on stochastic analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.224
H-Index - 10
eISSN - 2688-6669
pISSN - 0973-9599
DOI - 10.31390/cosa.2.3.02
Subject(s) - multiplicative function , renormalization , mathematics , function (biology) , statistical physics , physics , mathematical physics , mathematical analysis , biology , evolutionary biology
We characterize the class of probability measures for which the multiplicative renormalization method can be applied for the function h(x) = 1 p 1ix to obtain orthogonal polynomials. It turns out that this class consists of only uniform probability measures on intervals and probability measures being supported by one or two points.
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