Solvability of invariant second-order differential operators on metabelian groups

DOI10.1307/MMJ/1029003687zbMath0657.22012OpenAlexW1977754846MaRDI QIDQ1110662

Ronald L. Lipsman

Publication date: 1988

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029003687

zbMATH Keywords

Schrödinger operatorsolvabilityrepresentationsheat operatorLie algebrassecond order differential operatorssemidirect productglobal solvabilitywave operatorsolvable Lie groupdifferential operators on Lie groupsnormal simply connected abelian subgroup

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Lie algebras of Lie groups (22E60) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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