Non-solvability for a class of left-invariant second-order differential operators on the Heisenberg group
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Publication:4794616
DOI10.1090/S0002-9947-02-03232-4zbMath1072.35010OpenAlexW1961204024WikidataQ125657893 ScholiaQ125657893MaRDI QIDQ4794616
Detlef Müller, Marco M. Peloso
Publication date: 19 February 2003
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-02-03232-4
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Related Items (3)
Local solvability of linear differential operators with double characteristics. I: Necessary conditions ⋮ Spanning \(L^{2}\) of a nilpotent Lie group by eigenvectors of invariant differential operators ⋮ Local solvability of linear differential operators with double characteristics II: Sufficient conditions for left-invariant differential operators of order two on the Heisenberg group
Cites Work
- An example of a smooth linear partial differential equation without solution
- Differential operators of principal type
- Local solvability of second order differential operators on nilpotent Lie groups
- Necessary conditions for local solvability of homogeneous left invariant differential operators on nilpotent Lie groups
- A class of hypoelliptic pseudodifferential operators with double characteristics
- Solvability of second-order left-invariant differential operators on the Heisenberg group satisfying a cone condition
- Analysis of second order differential operators on Heisenberg groups. II
- Solvability for a class of doubly characteristic differential operators on 2-step nilpotent groups
- On local solvability of linear partial differential equations
- A class of solvable non-homogeneous differential operators on the Heisenberg group
- Caracterisation des operateurs hypoelliptiques homogenes
- Harmonic Analysis in Phase Space. (AM-122)
- On local solvability for complex coefficient differential operators on the Heisenberg group
- Errata
- Differential equations without solutions
- Parametrices for pseudodifferential operators with multiple characteristics
- A remarkable class of second order differential operators on the Heisenberg group \(\mathbb{H}_2\)
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