Open Access
2014 The nonexistence of cubic Legendre multiplier sequences
Tamás Forgács, James Haley, Rebecca Menke, Carlee Simon
Involve 7(6): 773-786 (2014). DOI: 10.2140/involve.2014.7.773

Abstract

Our main result is the proof of the recently conjectured nonexistence of cubic Legendre multiplier sequences. We also give an alternative proof of the nonexistence of linear Legendre multiplier sequences using a method that will allow for a more methodical treatment of sequences interpolated by higher degree polynomials.

Citation

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Tamás Forgács. James Haley. Rebecca Menke. Carlee Simon. "The nonexistence of cubic Legendre multiplier sequences." Involve 7 (6) 773 - 786, 2014. https://doi.org/10.2140/involve.2014.7.773

Information

Received: 16 October 2013; Revised: 9 January 2014; Accepted: 24 January 2014; Published: 2014
First available in Project Euclid: 20 December 2017

zbMATH: 1307.30009
MathSciNet: MR3284884
Digital Object Identifier: 10.2140/involve.2014.7.773

Subjects:
Primary: 26C10 , 30C15

Keywords: coefficients of Legendre-diagonal differential operators , Legendre multiplier sequences , reality preserving linear operators , symbol of a linear operator

Rights: Copyright © 2014 Mathematical Sciences Publishers

Vol.7 • No. 6 • 2014
MSP
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