Some Differential Operators Related to the Non-Isotropic Heisenberg Sub-Laplacian

DOI<19::AID-MANA19>3.0.CO;2-H 10.1002/1522-2616(200101)221:1<19::AID-MANA19>3.0.CO;2-HzbMath0973.22004OpenAlexW2002742428MaRDI QIDQ2706834

Jingzhi Tie, Der-Chen E. Chang

Publication date: 29 November 2001

Full work available at URL: https://doi.org/10.1002/1522-2616(200101)221:1<19::aid-mana19>3.0.co;2-h

zbMATH Keywords

Fourier transformsfundamental solutionsHamilton-Jacobi equationSchrödinger operatorheat kernelwave operatorLaguerre calculussub-Laplacianbicharacteristic curvesdomains of dependencenon-isotropic Heisenberg group

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Analysis on real and complex Lie groups (22E30) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (2)

Stability theorems for H-type Carnot groups ⋮ An operator related to the sub-Laplacian on the quaternionic Heisenberg group

Cites Work

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