Solvability of invariant differential operators on metabelian groups

DOI10.2140/PJM.1990.142.135zbMath0744.22011OpenAlexW1990775574MaRDI QIDQ1175086

Peter Ohring

Publication date: 25 June 1992

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1990.142.135

zbMATH Keywords

tempered distributionsolvable Lie groupdirect integralpartial Fourier transformleft invariant differential operatorelliptic, sub-elliptic and parabolic operatorssemiglobally solvablesimply connected abelian groups

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (1)

Noninvertibility of invariant differential operators on Lie groups of polynomial growth

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