Second-Order Elliptic Operators and Heat Kernels on Lie Groups

DOI10.2307/2001644zbMath0739.22009OpenAlexW4235666377MaRDI QIDQ3978439

Ola Bratteli, Derek W. Robinson

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2001644

zbMATH Keywords

Lie algebraLie groupright Haar measureinterpolating family of semigroupspositive integral kernelright-invariant vector fieldsstrongly elliptic second-order differential operator

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Analysis on real and complex Lie groups (22E30) Second-order elliptic equations (35J15)

Related Items (1)

Subelliptic operators on Lie groups: Variable coefficients

Cites Work

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• Upper bounds for symmetric Markov transition functions
• A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash
• The heat semigroup and integrability of Lie algebras
• Elliptic differential operators on Lie groups
• Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
• Interpolation of Linear Operators
• Vecteurs analytiques dans les représentations des groupes de Lie
• Continuity of Solutions of Parabolic and Elliptic Equations
• Explicit Constants for Gaussian Upper Bounds on Heat Kernels
• A harnack inequality for parabolic differential equations
• Analysis on Lie groups

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