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.
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(Received 21 October 2000; in revised form 21 February 2001)
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Raja, C., Shah, R. Factorisation Theorems for T-decomposable Measures on Groups . Mh Math 133, 223–239 (2001). https://doi.org/10.1007/s006050170021
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DOI: https://doi.org/10.1007/s006050170021