Factorisation Theorems for T-decomposable Measures on Groups |
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Authors: | C R E Raja Riddhi Shah |
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Institution: | (1) Indian Statistical Institute, Bangalore, India, IN;(2) Tata Institute of Fundamental Research, Mumbai, India, IN |
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Abstract: | For a real or p-adic unipotent algebraic group G, given a T∈ Hom(G, G) and T-decomposable measure on G which is either ‘full’ or symmetric, we get a decomposition , where μ0 is T-invariant and , and this decomposition is unique upto a shift. We also show that ν0 is T-decomposable under some additional sufficient condition and give a counter example to justify this. We generalise the above
to power bounded operators on p-adic Banach spaces. We also prove some convergence-of-types theorems on p-adic groups as well as Banach spaces.
(Received 21 October 2000; in revised form 21 February 2001) |
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Keywords: | 2000 Mathematics Subject Classification: 60B15 60B11 60B10 22E35 |
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