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2011 A NOTE ON HEAT KERNELS OF GENERALIZED HERMITE OPERATORS
Sheng-Ya Feng
Taiwanese J. Math. 15(5): 2035-2041 (2011). DOI: 10.11650/twjm/1500406421

Abstract

In this note, the author obtains heat kernels for the generalised Hermite operators $L = -\Delta + \langle Bx,x \rangle$ where $B$ is a (not necessarily symmetry) semi-positive definite matrix.

Citation

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Sheng-Ya Feng. "A NOTE ON HEAT KERNELS OF GENERALIZED HERMITE OPERATORS." Taiwanese J. Math. 15 (5) 2035 - 2041, 2011. https://doi.org/10.11650/twjm/1500406421

Information

Published: 2011
First available in Project Euclid: 18 July 2017

zbMATH: 1231.35049
MathSciNet: MR2880391
Digital Object Identifier: 10.11650/twjm/1500406421

Subjects:
Primary: 35H20

Keywords: action function , fundamental solutions , Hamiltonian , Hermite operators , transport equation , volume element

Rights: Copyright © 2011 The Mathematical Society of the Republic of China

Vol.15 • No. 5 • 2011
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