A pseudodifferential calculus associated to 3-step nilpotent groups

DOI10.1080/03605308908820593zbMath0681.35092OpenAlexW1991641077MaRDI QIDQ4730203

Thomas E. Cummins

Publication date: 1989

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308908820593

zbMATH Keywords

symbolSchwartz kernel\(L^ p\) estimates3-step nilpotent groupasymptotic expansions of kernels

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05)

Related Items (5)

Privileged coordinates and nilpotent approximation of Carnot manifolds. I: General results ⋮ Pseudodifferential operators on groups with dilations ⋮ The Geometry of the Osculating Nilpotent Group Structures of the Heisenberg Calculus ⋮ On the deformation groupoid of the inhomogeneous pseudo‐differential Calculus ⋮ A groupoid approach to pseudodifferential calculi

Cites Work

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• Weighted distribution spaces and pseudodifferential operators
• A general calculus of pseudodifferential operators
• Hypoelliptic differential operators and nilpotent groups
• Characterization of pseudodifferential operator and application
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Spatially inhomogeneous pseudodifferential operators, II

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