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Lévy–Khinchin Formula and Existence of Densities for Convolution Semigroups on Symmetric Spaces

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Abstract

We prove the existence of a smooth density for a convolution semigroup on a symmetric space and obtain its spherical representation.

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Authors and Affiliations

  1. Department of Mathematics, Auburn University, Auburn, AL, 36849, USA

    Ming Liao

  2. Department of Mathematics, Nankai University, Tianjin, China

    Longmin Wang

Authors
  1. Ming Liao
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  2. Longmin Wang
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Correspondence to Ming Liao.

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Liao, M., Wang, L. Lévy–Khinchin Formula and Existence of Densities for Convolution Semigroups on Symmetric Spaces. Potential Anal 27, 133–150 (2007). https://doi.org/10.1007/s11118-007-9048-2

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  • DOI: https://doi.org/10.1007/s11118-007-9048-2

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