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• W2890762653 abstract "The aim of this paper is threefold. First, we obtain the precise bounds for the heat kernel on isotropic Heisenberg groups by using well-known results in the three-dimensional case. Second, we study the asymptotic estimates at infinity for the heat kernel on nonisotropic Heisenberg groups. As a consequence, we give uniform upper and lower estimates of the heat kernel, and complete its short-time behavior obtained by Beals–Gaveau–Greiner. Third, we prove that the uniform asymptotic behaviour at infinity (so the small-time asymptotic behaviour) of the heat kernel for Grushin operators, obtained by the first author, are still valid in two and three dimensions." @default.
• W2890762653 created "2018-09-27" @default.
• W2890762653 creator A5031839563 @default.
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• W2890762653 date "2019-03-21" @default.
• W2890762653 modified "2023-10-18" @default.
• W2890762653 title "Revisiting the heat kernel on isotropic and nonisotropic Heisenberg groups*" @default.
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• W2890762653 doi "https://doi.org/10.1080/03605302.2019.1581802" @default.
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