Commutative subalgebra of 𝐿¹(𝐺) associated with a subelliptic operator on a Lie group 𝐺

DOI10.1090/S0002-9904-1975-13664-0zbMath0311.22010WikidataQ115290220 ScholiaQ115290220MaRDI QIDQ4068942

Andrzej Hulanicki

Publication date: 1975

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Ideals, maximal ideals, boundaries (46J20) Analysis on other specific Lie groups (43A80) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Group algebras of locally compact groups (22D15)

Related Items (7)

\(H^ p\)-multipliers on stratified groups ⋮ Almost Everywhere Summability on Nilmanifolds ⋮ Absolute continuity, singularity, and supports of Gauss semigroups on a Lie group ⋮ Spectral theory for commutative algebras of differential operators on Lie groups ⋮ Ideal theory in group algebras of locally compact groups ⋮ Holomorphic representations of nilpotent Lie groups ⋮ Vitesse de fuite et comportement asymptotique du mouvement brownien sur les groupes de Lie nilpotents

Cites Work

• Analytic vectors
• Growth of connected locally compact groups
• Intertwining operators for semisimple groups
• Vecteurs analytiques dans les représentations des groupes de Lie
• Parametrices and estimates for the $\bar \partial _b$ complex on strongly pseudoconvex boundaries
• Subalgebra of $L_1(G)$ associated with Laplacian on a Lie group
• Non‐coercive boundary value problems
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• A fundamental solution for a subelliptic operator

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