A Characterization of Multiplier Sequences for Generalized Laguerre Bases 2014 (English)In: Constructive approximation, ISSN 0176-4276, E-ISSN 1432-0940, Vol. 39, no 3, p. 585-596Article in journal (Refereed) Published

Abstract [en]

We give a complete characterization of multiplier sequences for generalized Laguerre bases. We also apply our methods to give a short proof of the characterization of Hermite multiplier sequences achieved by Piotrowski.

Place, publisher, year, edition, pages

2014. Vol. 39, no 3, p. 585-596

Keywords [en]

Multiplier sequences, Generalized Laguerre polynomials, Zeros of entire functions, Linear operators on polynomial spaces

National Category

Mathematics

Identifiers

URN: urn:nbn:se:kth:diva-147025DOI: 10.1007/s00365-013-9204-4ISI: 000336274800007Scopus ID: 2-s2.0-84901237875OAI: oai:DiVA.org:kth-147025DiVA, id: diva2:728433

Funder

Knut and Alice Wallenberg Foundation

Note

QC 20140624

Available from: 2014-06-24 Created: 2014-06-23 Last updated: 2022-06-23Bibliographically approved

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Brändén, Petter

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Mathematics (Div.)

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