Growth of Taylor coefficients over complex homogeneous spaces

DOI10.2748/tmj/1287148621zbMath1208.43002OpenAlexW2059810489MaRDI QIDQ611823

Leonard Gross, Bruce K. Driver, Laurent Saloff-Coste

Publication date: 14 December 2010

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1287148621

zbMATH Keywords

heat kerneluniversal enveloping algebrasubellipticcomplex Lie groupTaylor map

Mathematics Subject Classification ID

(L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Subelliptic equations (35H20) Complex spaces (32C15)

Related Items (3)

Logarithmic Sobolev inequalities on non-isotropic Heisenberg groups ⋮ Strong hypercontractivity and logarithmic Sobolev inequalities on stratified complex Lie groups ⋮ On the H.-Q. Li inequality on step-two Carnot groups

Cites Work

• Holomorphic functions and subelliptic heat kernels over Lie groups
• Estimations of the heat kernel on homogeneous spaces
• Parabolic Harnack inequality for divergence form second order differential operators
• Uniqueness of ground states for Schrödinger operators over loop groups
• Hypoelliptic second order differential equations
• Positive definite kernels, continuous tensor products, and central limit theorems of probability theory
• Symmetric Hilbert spaces and related topics. Infinitely divisible positive definite functions, continuous products and tensor products, Gaussian and Poissonian stochastic processes
• Surjectivity of the Taylor map for complex nilpotent Lie groups
• Some Norms on Universal Enveloping Algebras
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