The Heat Kernel and Green Function of the Sub-Laplacian on the Heisenberg Group-Reference-Cited by-同舟云学术

The Heat Kernel and Green Function of the Sub-Laplacian on the Heisenberg Group

Published:2013 Issue: Volume: Page:55-75
ISSN:
Container-title:Pseudo-Differential Operators, Generalized Functions and Asymptotics
language:
Short-container-title:

Author:

Duan Xiaoxi

Publisher

Springer Basel

Link

http://link.springer.com/content/pdf/10.1007/978-3-0348-0585-8_3

Reference20 articles.

1. R. Beals, Geometric and PDE on the Heisenberg group: a case study, in The Geometric Study of Differential Equations, Contemp. Math. 285, American Mathematical Society, 2001, 21–27.

2. A. Dasgupta and M.W. Wong, Essential self-adjointness and global hypoellipticity of the twisted Laplacian, Rend. Sem. Mat. Univ. Pol. Torino 66 (2008), 75–85.

3. G.B. Folland, A fundamental solution for a subelliptic operator, Bull. Amer. Math. Soc 79, (1973), 373–376.

4. M. de Gosson, Spectral properties of a class of generalized Landau operators, Comm. Partial Differential Equations 33 (2008), 2096–2104.

5. B. Gaveau, Principe de moindre action, propagation de la chaleur et estim´ees sous elliptiques sur certains groupes nilpotents, Acta Math. 139 (1977), 95–153.

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Note on the Heat Kernel for the Rescaled Harmonic Oscillator from Two Step Nilpotent Lie Groups;Acta Mathematica Sinica, English Series;2022-09

2. On the complex twisted Laplacian on $$ \mathbb {C}^n$$ and Poisson transform for the Heisenberg group;Indian Journal of Pure and Applied Mathematics;2022-08-25

3. On fundamental solution for powers of the sub-Laplacian on the Heisenberg group;Applied Mathematics-A Journal of Chinese Universities;2017-09

4. Semiclassical limits of the Schrödinger kernels on the $$h$$ h -Heisenberg group;Journal of Pseudo-Differential Operators and Applications;2014-01-21