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Harmonic functions on topological groups and symmetric spaces

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Abstract

Let G be a metric group, not necessarily locally compact, acting on a metric space X, for instance, a right coset space of G. We introduce and develop a basic structure theory for harmonic functions on X which is applicable to infinite dimensional Riemannian symmetric spaces.

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Authors and Affiliations

  1. School of Mathematical Sciences, Queen Mary, University of London, London, E1 4NS, UK

    Cho-Ho Chu

  2. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada

    Anthony To-Ming Lau

Authors
  1. Cho-Ho Chu
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  2. Anthony To-Ming Lau
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Correspondence to Cho-Ho Chu.

Additional information

This work was supported by London Mathematical Society grant 4606 and NSERC grant 7679.

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Chu, CH., Lau, A.TM. Harmonic functions on topological groups and symmetric spaces. Math. Z. 268, 649–673 (2011). https://doi.org/10.1007/s00209-010-0688-3

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  • DOI: https://doi.org/10.1007/s00209-010-0688-3

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