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Translated from Matematicheskie Zametki, Vol. 41, No. 5, pp. 687–692, May, 1987.
The author thanks E. M. Landis and S. A. Molchanov for useful discussions. The articles of Gushchin [1] and Cheng, Li, and Yau [2] have exerted great influence on the author.
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Grigor'yan, A.A. Fundamental solution of the heat equation on an arbitrary Riemannian manifold. Mathematical Notes of the Academy of Sciences of the USSR 41, 386–389 (1987). https://doi.org/10.1007/BF01159863
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DOI: https://doi.org/10.1007/BF01159863