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The heat kernel and Hardy’s theorem on symmetric spaces of noncompact type

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Abstract

For symmetric spaces of noncompact type we prove an analogue of Hardy’s theorem which characterizes the heat kernel in terms of its order of magnitude and that of its Fourier transform.

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Author notes

  1. E. K. Narayanan

    Present address: Math. and Comp. Sci. Dept., Bar-Ilan University, 52900, Ramat-Gan, Israel

Authors and Affiliations

  1. Stat-Math Unit, Indian Statistical Institute, 8th Mile Mysore Road, 560 059, Bangalore, India

    E. K. Narayanan

  2. Department of Mathematics, Indian Institute of Technology, Kanpur, 208 016, Kanpur, India

    S. K. Ray

Authors
  1. E. K. Narayanan
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  2. S. K. Ray
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Correspondence to E. K. Narayanan.

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Narayanan, E.K., Ray, S.K. The heat kernel and Hardy’s theorem on symmetric spaces of noncompact type. Proc. Indian Acad. Sci. (Math. Sci.) 112, 321–330 (2002). https://doi.org/10.1007/BF02829756

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  • DOI: https://doi.org/10.1007/BF02829756

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