Hypoellipticity on the Heisenberg group

DOI10.1016/0022-1236(79)90005-3zbMath0407.58036OpenAlexW2031061971MaRDI QIDQ1258126

Kenneth G. Miller

Publication date: 1979

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(79)90005-3

zbMATH Keywords

a Priori EstimatesIrreducible Unitary RepresentationHeisenberg GroupHypoellipticityLeft-Invariant Differential OperatorStratified Nilpotent Lie Groups

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Invariance and symmetry properties for PDEs on manifolds (58J70) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Partial differential equations on manifolds; differential operators (58J99)

Related Items (5)

Inverses and Parametrices for Right-Invariant Pseudodifferential Operators on Two-Step Nilpotent Lie Groups ⋮ Local Solvability of Left Invariant Differential Operators on the Heisenberg Group ⋮ Stable solutions of symmetric systems involving hypoelliptic operators ⋮ Parametrices for hypoelliptic operators on step to nilpotent lie groups ⋮ Parametrix constructions for some classes of right-invariant differential operators on the heisenberg group

Cites Work

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• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
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• Integro-Differential Operators on Vector Bundles
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• ON A CLASS OF ELLIPTIC PSEUDODIFFERENTIAL OPERATORS DEGENERATE ON A SUBMANIFOLD
• ON A CLASS OF HYPOELLIPTIC OPERATORS

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