The fourier integral transform on nilpotent lie groups

DOI10.1080/03605308308820281zbMath0515.35008OpenAlexW2006820924MaRDI QIDQ3661962

Nghiêm Xuân Hai

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/03605308308820281

zbMATH Keywords

existencenilpotent Lie groupsFourier integral transformtemperate distributionsMalgrange's theoremSchwartz function spaces

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Integral operators (45P05) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (1)

Résolubilité d'équations différentielles et représentation induites. (Solubility of differential equations and induced representations)

Cites Work

• Fourier transforms of smooth functions on certain nilpotent Lie groups
• The analytic continuation of generalized functions with respect to a parameter
• Inversion of analytic matrices and local solvability of some invariant differential operators on nilpotent lie groups
• Resolution of Singularities and Division of Distributions

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