The Melin calculus for general homogeneous groups

DOI10.1007/s11512-006-0034-5zbMath1154.43002OpenAlexW2120159748MaRDI QIDQ942012

Paweł Głowacki

Publication date: 3 September 2008

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11512-006-0034-5

zbMATH Keywords

Fourier transformLie algebrapseudodifferential operatorsymbolic calculusCampbell-Hausdorff formulaMelin calculus

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Other transforms and operators of Fourier type (43A32) Analysis on other specific Lie groups (43A80) Pseudodifferential operators (47G30)

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Cites Work

• Unnamed Item
• Parametrix constructions for right invariant differential operators on nilpotent groups
• A symbolic calculus and \(L^{2}\)-boundedness on nilpotent Lie groups.
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Formule de Weyl pour les groupes de Lie nilpotents.