Gaussian-type upper bound for the evolution kernels on nilpotent meta-abelian groups

Gaussian-type upper bound for the evolution kernels on nilpotent meta-abelian groups We give a Gaussian-type upper bound for the transition kernels of the time-inhomogeneous diffusion processes on a nilpotent meta-abelian Lie group N generated by the family of time dependent second order left-invariant differential operators. These evolution kernels are related to the heat kernel for the left-invariant second order differential operators on higher rank NA groups. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Gaussian-type upper bound for the evolution kernels on nilpotent meta-abelian groups

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Publisher
Springer International Publishing
Copyright
Copyright © 2015 by The Author(s)
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-015-0353-5
Publisher site
See Article on Publisher Site

Abstract

We give a Gaussian-type upper bound for the transition kernels of the time-inhomogeneous diffusion processes on a nilpotent meta-abelian Lie group N generated by the family of time dependent second order left-invariant differential operators. These evolution kernels are related to the heat kernel for the left-invariant second order differential operators on higher rank NA groups.

Journal

PositivitySpringer Journals

Published: Aug 5, 2015

References

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