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Cowling-price theorem and characterization of heat kernel on symmetric spaces

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Abstract

We extend the uncertainty principle, the Cowling-Price theorem, on noncompact Riemannian symmetric spacesX. We establish a characterization of the heat kernel of the Laplace-Beltrami operator onX from integral estimates of the Cowling-Price type.

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Authors and Affiliations

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

    Swagato K. Ray

  2. Stat-Math Division, Indian Statistical Institute, 203 B.T. Road, 700 108, Kolkata, India

    Rudra P. Sarkar

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  1. Swagato K. Ray
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  2. Rudra P. Sarkar
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Correspondence to Swagato K. Ray.

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Ray, S.K., Sarkar, R.P. Cowling-price theorem and characterization of heat kernel on symmetric spaces. Proc. Indian Acad. Sci. (Math. Sci.) 114, 159–180 (2004). https://doi.org/10.1007/BF02829851

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  • DOI: https://doi.org/10.1007/BF02829851

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