A functional calculus for Rockland operators on nilpotent Lie groups
Andrzej Hulanicki (1984)
Studia Mathematica
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Andrzej Hulanicki (1984)
Studia Mathematica
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Andrzej Hulanicki, Joe Jenkins (1987)
Studia Mathematica
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Jacek Dziubański, Waldemar Hebisch, Jacek Zienkiewicz (1994)
Studia Mathematica
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Let L be a positive Rockland operator of homogeneous degree d on a graded homogeneous group G and let be the convolution kernels of the semigroup generated by L. We prove that if τ(x) is a Riemannian distance of x from the unit element, then there are constants c>0 and C such that . Moreover, if G is not stratified, more precise estimates of at infinity are given.
Andrzej Hulanicki, Joe Jenkins (1984)
Studia Mathematica
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Nick Dungey, A. ter Elst, Derek Robinson (1999)
Colloquium Mathematicae
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We examine the asymptotic, or large-time, behaviour of the semigroup kernel associated with a finite sum of homogeneous subcoercive operators acting on a connected Lie group of polynomial growth. If the group is nilpotent we prove that the kernel is bounded by a convolution of two Gaussians whose orders correspond to the highest and lowest orders of the homogeneous subcoercive components of the generator. Moreover we establish precise asymptotic estimates on the difference of the kernel...
Jacek Dziubański (1998)
Colloquium Mathematicae
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Piotr Graczyk (1991)
Studia Mathematica
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Let be a symmetric semigroup of stable measures on a homogeneous group, with smooth Lévy measure. Applying Malliavin calculus for jump processes we prove that the measures have smooth densities.
J. Boidol, J. Ludwig, D. Müller (1988)
Studia Mathematica
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Italo Capuzzo Dolcetta, Alessandra Cutrì (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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