Аннотация
We propose a general scheme for the search of a fundamental solution to the hypoelliptic diffusion equation in a “sufficiently good” sub-Riemannian manifold and the small-time asymptotics for the solution, which includes the generalized Fourier transform and the orbit method closely related to it, as well as an application of the perturbative method to the nilpotent approximation, and Trotter’s formula.
Язык оригинала | английский |
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Страницы (с-по) | 1051-1074 |
Число страниц | 24 |
Журнал | Siberian Mathematical Journal |
Том | 60 |
Номер выпуска | 6 |
DOI | |
Состояние | Опубликовано - 1 ноя 2019 |
Опубликовано для внешнего пользования | Да |