Microlocal regularity on step two nilpotent Lie groups

DOI10.1017/S0013091500006544zbMath0651.35002WikidataQ115336793 ScholiaQ115336793MaRDI QIDQ3796042

Kenneth G. Miller

Publication date: 1988

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

nilpotent Lie groupmicrolocalcoadjoint actionmicrohypoellipticityHelffer-Nourrigat-Rockland characterizationhomogeneous left invariant differential operatorsnatural dilations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Pseudodifferential operators as generalizations of partial differential operators (35S05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

Cites Work

• Unnamed Item
• Parametrix constructions for right invariant differential operators on nilpotent groups
• Invariant pseudodifferential operators on two step nilpotent Lie groups
• A general calculus of pseudodifferential operators
• Propagation des singularités des solutions d'équations pseudo-différentielles quasi homogènes
• Parametrices for a class of pseudo differential operators. I
• Some Further Classes of Pseudo-Differential and Singular-Integral Operators Arising in Boundary-Value Problems I Composition of Operators
• Inverses and Parametrices for Right-Invariant Pseudodifferential Operators on Two-Step Nilpotent Lie Groups
• Caracterisation des operateurs hypoelliptiques homogenes
• Parametrices for hypoelliptic operators on step to nilpotent lie groups
• Parametrix constructions for some classes of right-invariant differential operators on the heisenberg group
• Hypoellipticity on the Heisenberg Group-Representation-Theoretic Criteria
• The weyl calculus of pseudo-differential operators