Solvability for a class of non-homogeneous differential operators on two-step nilpotent groups

DOI10.1007/BF01446304zbMath0848.43008OpenAlexW2069234275MaRDI QIDQ1910172

Fulvio Ricci, Detlef Müller

Publication date: 21 October 1996

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165414

zbMATH Keywords

eigenvalueHeisenberg groupsolvabilityhomogeneous operatorsmetaplectic groupShale-Weil representationgenerically semisimple

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Analysis on other specific Lie groups (43A80)

Related Items (7)

On the Solvability of Certain Degenerate Partial Differential Operators ⋮ On the solvability of homogeneous left-invariant differential operators on the Heisenberg group ⋮ Local solvability of some partial differential operators with non-smooth coefficients ⋮ Fundamental solutions of a class of ultra-hyperbolic operators on pseudo \(H\)-type groups ⋮ Another example in the solvability theory of pdo's with double characteristics ⋮ On the Solvability of a Class of Second Order Degenerate Operators ⋮ Uniqueness of solutions to Schrödinger equations on 2-step nilpotent Lie groups

Cites Work

• Unnamed Item
• An example on the Heisenberg group related to the Lewy operator
• Star exponentials of the elements of the inhomogeneous symplectic Lie algebra
• Analysis of second order differential operators on Heisenberg groups. I
• Solvability of second-order PDOs on nilpotent groups -- a survey of recent results
• Analysis of second order differential operators on Heisenberg groups. II

This page was built for publication: Solvability for a class of non-homogeneous differential operators on two-step nilpotent groups