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

DOI10.1007/978-3-0348-0585-8_5zbMath1283.47053OpenAlexW90991346MaRDI QIDQ4914468

Shahla Molahajloo, Man-Wah Wong

Publication date: 12 April 2013

Published in: Pseudo-Differential Operators, Generalized Functions and Asymptotics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0585-8_5

zbMATH Keywords

Green functionsHermite functionsheat kernelsglobal hypoellipticityhierarchical twisted LaplacianWeyl transformshierarchical Heisenberg grouphierarchical sub-Laplacian

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Analysis on other specific Lie groups (43A80) Pseudodifferential operators (47G30) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

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