Estimations of the heat kernel on homogeneous spaces

DOI10.1007/BF02922109zbMath1044.58029MaRDI QIDQ1296921

Patrick Maheux

Publication date: 1998

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (12)

Estimations Asymptotiques du Noyau de la Chaleur Pour L'opérateur de Grushin ⋮ Analysis on geodesic balls of sub-elliptic operators ⋮ Growth of Taylor coefficients over complex homogeneous spaces ⋮ PDE-based group equivariant convolutional neural networks ⋮ Parseval Space-Frequency Localized Frames on Sub-Riemannian Compact Homogeneous Manifolds ⋮ A weak Weyl's law on compact metric measure spaces ⋮ Widder's representation theorem for symmetric local Dirichlet spaces ⋮ Heat kernel generated frames in the setting of Dirichlet spaces ⋮ Heat Kernels on homogeneous spaces ⋮ Small-time asymptotics of hypoelliptic heat kernels near the diagonal, nilpotentization and related results ⋮ Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces ⋮ Brascamp-Lieb inequalities on compact homogeneous spaces

Cites Work

• Small time Gaussian estimates of heat diffusion kernels. II: The theory of large deviations
• Analyse sur les groupes de Lie à croissance polynômiale. (Analysis on Lie groups of polynomial growth)
• Balls and metrics defined by vector fields. I: Basic properties
• Fundamental solutions and geometry of the sum of squares of vector fields
• Analysis on nilpotent groups
• Asymptotic expansion of the hypoelliptic heat kernel on the diagonal
• The Poincaré inequality for vector fields satisfying Hörmander's condition
• Hypoelliptic second order differential equations
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Développement asymptotique du noyau de la chaleur hypoelliptique hors du cut-locus
• Explicit Constants for Gaussian Upper Bounds on Heat Kernels
• An Application of Homogenization Theory to Harmonic Analysis: Harnack Inequalities And Riesz Transforms on Lie Groups of Polynomial Growth
• Croissance polynomiale et périodes des fonctions harmoniques
• Extensions of Hardy spaces and their use in analysis
• Analysis on Lie groups
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