Infinite convolution products and refinable distributions on Lie groups
نویسندگان
چکیده
منابع مشابه
Infinite Convolution Products and Refinable Distributions on Lie Groups
Sufficient conditions for the convergence in distribution of an infinite convolution product μ1 ∗μ2 ∗ . . . of measures on a connected Lie group G with respect to left invariant Haar measure are derived. These conditions are used to construct distributions φ that satisfy Tφ = φ where T is a refinement operator constructed from a measure μ and a dilation automorphism A. The existence of A implie...
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Suucient conditions for the convergence in distribution of an inn-nite convolution product 1 2 : : : of measures on a connected Lie group G with respect to left invariant Haar measure are derived. These conditions are used to construct distributions that satisfy T = where T is a reenement operator constructed from a measure and a dilation automorphism A. The existence of A implies G is nilpoten...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2000
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-00-02409-0