Second-order right-invariant partial differential equations on a Lie group

DOI10.1016/0022-247X(89)90005-XzbMath0703.35131OpenAlexW1978458903WikidataQ115364517 ScholiaQ115364517MaRDI QIDQ915997

Palle E. T. Jorgensen

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(89)90005-x

zbMATH Keywords

multiplicityeigenfunction expansionabsolutely continuousnilpotentsub-Laplacianssingular continuous spectrumNelson-Stinespring Laplace operator

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Analysis on other specific Lie groups (43A80)

Related Items (2)

Spectral transform for the sub-Laplacian on the Heisenberg group ⋮ Extensions of positive definite integral kernels on the Heisenberg group

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