Heat kernels on Lie groups

DOI10.1016/0022-1236(90)90132-5zbMath0721.58047OpenAlexW2075490949MaRDI QIDQ2640971

Z. Magyar

Publication date: 1990

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(90)90132-5

zbMATH Keywords

heat equationheat kernelanalysis on Lie groups

Mathematics Subject Classification ID

Heat equation (35K05) Analysis on real and complex Lie groups (22E30) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (3)

Langlands classification for real Lie groups with reductive Lie algebra ⋮ Elliptic differential operators on Lie groups ⋮ A complete analogue of Hardy's theorem on \(SL_2(\mathbb{R})\) and characterization of the heat kernel

Cites Work

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• Analytic vectors
• The heat semigroup and integrability of Lie algebras
• On general boundary value problem for parabolic equations
• On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
• Representation of Elliptic Operators in an Enveloping Algebra
• Vecteurs analytiques dans les représentations des groupes de Lie
• Subalgebra of $L_1(G)$ associated with Laplacian on a Lie group
• Measurable, continuous and smooth vectors for semi-groups and group representations
• Analytic and Entire Vectors for Representations of Lie Groups

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