Reduced heat kernels on nilpotent Lie groups

DOI10.1007/BF02101655zbMath0838.22002WikidataQ115392795 ScholiaQ115392795MaRDI QIDQ1907961

A. F. M. ter Elst, Derek W. Robinson

Publication date: 6 March 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

operatorseigenvalueLie algebranilpotent Lie groupcontinuous semigroupdifferentiationbasis representationirreducible unitary representationreduced kernel

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (5)

Hypoelliptic heat kernels on nilpotent Lie groups ⋮ Transference for Banach space representations of nilpotent Lie groups. II. Pedersen multipliers ⋮ Application of nilpotent approximation and the orbit method to the search of the diagonal asymptotics of sub-Riemannian heat kernels ⋮ Landmarks for Neurogeometry ⋮ Transference for Banach space representations of nilpotent Lie groups. Part 1. Irreducible representations

Cites Work

• Long time estimates for the heat kernel associated with a uniformly subelliptic symmetric second order operator
• Balls and metrics defined by vector fields. I: Basic properties
• Weighted strongly elliptic operators on Lie groups
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
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