Surjectivity of the Taylor map for complex nilpotent Lie groups

DOI10.1017/S0305004108001692zbMath1158.22007WikidataQ115336019 ScholiaQ115336019MaRDI QIDQ3598122

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

Publication date: 30 January 2009

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

heat kernel measurehypercontractivityTaylor mapFourier-Wigner transformcomplex nilpotent Lie groups

Mathematics Subject Classification ID

Heat equation (35K05) Applications of stochastic analysis (to PDEs, etc.) (60H30) Linear symmetric and selfadjoint operators (unbounded) (47B25) Analysis on real and complex Lie groups (22E30)

Related Items (5)

Holomorphic functions and subelliptic heat kernels over Lie groups ⋮ Strong hypercontractivity and logarithmic Sobolev inequalities on stratified complex Lie groups ⋮ Growth of Taylor coefficients over complex homogeneous spaces ⋮ A subelliptic Taylor isomorphism on infinite-dimensional Heisenberg groups ⋮ Holomorphic functions and the Itô chaos

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