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math.FA2010
Convergence of semigroups of measures on a Lie group
Pawel Glowacki
A theorem of Siebert asserts that if a sequence of semigroups of probability measures on a Lie group G is weakly convergent to a semigroup of the same type, then the corresponding…
math.FA2010★ 3 cited
Composition and -boundedness of flag kernels
Pawel Glowacki
We prove the composition and -boundedness theorems for the Nagel-Ricci-Stein flag kernels related to the natural gradation of homogeneous groups.
math.FA2010★ 11 cited
Invertibility of convolution operators on homogeneous groups
Pawel Glowacki
We say that a tempered distribution belongs to the class $S^m(\Ge)$ on a homogeneous Lie algebra $\Ge$ if its Abelian Fourier transform is a smooth function on the…