A note on heat kernels of generalized Hermite operators (Q653402)
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scientific article; zbMATH DE number 5990171
| Language | Label | Description | Also known as |
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| English | A note on heat kernels of generalized Hermite operators |
scientific article; zbMATH DE number 5990171 |
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A note on heat kernels of generalized Hermite operators (English)
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19 December 2011
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Recently, \textit{D.C. Chang} and the author [Adv. Appl. Math. 47, No. 4, 710--771 (2011; Zbl 1233.35072)] have obtained the heat kernel for \(L=-\Delta + \langle Bx,x\rangle\) for an arbitrary matrix \(B\) of size \(n\times n\) by using the Hamiltonian formalism. This complicated approach can be avoided when \(B\) is semi-positive or semi-negative definite, which the author briefly explains in this note.
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fundamental solutions
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Hermite operators
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Hamiltonian
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transport equation
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action function
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volume element
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