Asymptotic behaviour of iterates of Volterra operators on L^p(0,1)

Simon Eveson

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arXiv · math/0409516

Asymptotic behaviour of iterates of Volterra operators on L^p(0,1)

Simon Eveson

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Abstract

We derive asymptotic information on the iterates of a Volterra convolution operator acting on L^p(0,1), subject to a mild smoothness condition on the kernel. In particular, an asymptotically equal sequence of rank 1 operators is obtained, leading to a simple asymptotic formula for the operator norms of the iterates.

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BibTeX RIS

Simon Eveson. 2004-09-27. Asymptotic behaviour of iterates of Volterra operators on L^p(0,1). https://arxiv.org/abs/math/0409516

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