Asymptotics of subcoercive semigroups on nilpotent Lie groups

Dungey, Nicholas; ter Elst, A; Robinson, Derek; Sikora, Adam

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Asymptotics of subcoercive semigroups on nilpotent Lie groups

Date

2001

Authors

Dungey, Nicholas

ter Elst, A

Robinson, Derek

Sikora, Adam

Publisher

Theta Foundation

Abstract

One can associate asymptotic approximates G∞ and H∞ with each nilpotent Lie group G and pure m-th order weighted subcoercive operator H by a scaling limit. Then the semigroups S and S(∞) generated by H and H∞, on the spaces Lp(G), p ∈ [1, ∞],

Keywords

Keywords: Asymptotics of semigroup kernels; Asymptotics of semigroups; Kernel bounds; Nilpotent Lie groups; Scaling; Weighted subcoercive operators

URI

http://hdl.handle.net/1885/66102

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Open Access Research

Source

Journal of Operator Theory

Type

Journal article

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Asymptotics of subcoercive semigroups on nilpotent Lie groups

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