Spectral transform for the sub-Laplacian on the Heisenberg group

DOI10.1007/BF02796116zbMath0656.43006OpenAlexW2024650684MaRDI QIDQ1110033

William H. Klink, Palle E. T. Jorgensen

Publication date: 1988

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02796116

zbMATH Keywords

heat equationHeisenberg groupsub-Laplacianquantum mechanical systemsmassive spinless particle

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Heat equation (35K05) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Applications of Lie groups to the sciences; explicit representations (22E70) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80)

Related Items (5)

Lie group symmetries as integral transforms of fundamental solutions ⋮ Positive definite functions on the Heisenberg group ⋮ Second-order right-invariant partial differential equations on a Lie group ⋮ Extensions of positive definite integral kernels on the Heisenberg group ⋮ Semigroups of measures in non-commutative harmonic analysis

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