Hirschman–Widder densities
نویسندگان
چکیده
Hirschman and Widder introduced a class of Pólya frequency functions given by linear combinations one-sided exponential functions. The members this are probability densities, the is closed under convolution but not pointwise multiplication. We show that, generically, polynomial function such density only if homothety, also identify subclass for which each positive-integer power function. further demonstrate connections between Maclaurin coefficients, moments these recovery from finitely many moments, via Schur polynomials.
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2022
ISSN: ['1096-603X', '1063-5203']
DOI: https://doi.org/10.1016/j.acha.2022.04.002