Open Access
February 2008 Time–space harmonic polynomials relative to a Lévy process
Josep Lluís Solé, Frederic Utzet
Bernoulli 14(1): 1-13 (February 2008). DOI: 10.3150/07-BEJ6173

Abstract

In this work, we give a closed form and a recurrence relation for a family of time–space harmonic polynomials relative to a Lévy process. We also state the relationship with the Kailath–Segall (orthogonal) polynomials associated to the process.

Citation

Download Citation

Josep Lluís Solé. Frederic Utzet. "Time–space harmonic polynomials relative to a Lévy process." Bernoulli 14 (1) 1 - 13, February 2008. https://doi.org/10.3150/07-BEJ6173

Information

Published: February 2008
First available in Project Euclid: 8 February 2008

zbMATH: 1157.60318
MathSciNet: MR2401651
Digital Object Identifier: 10.3150/07-BEJ6173

Keywords: Cumulants , Lévy processes , Teugels martingales , time–space harmonic polynomials

Rights: Copyright © 2008 Bernoulli Society for Mathematical Statistics and Probability

Vol.14 • No. 1 • February 2008
Back to Top