The Journal of the Indian Mathematical Society

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Eigenfunctions on Riemannian Manifolds


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1 Andhra University, Waltair, India
     

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In this note I give an alternative proof of some of the properties of the eigenfunctions of the Laplace operator on Riemannian manifolds, which Pleijel and I proved some time back [2]. Instead of using Carleman's method, I use the heat equation as I did in the case of the Euclidean space [1].
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  • Eigenfunctions on Riemannian Manifolds

Abstract Views: 336  |  PDF Views: 2

Authors

S. Minakshisundaram
Andhra University, Waltair, India

Abstract


In this note I give an alternative proof of some of the properties of the eigenfunctions of the Laplace operator on Riemannian manifolds, which Pleijel and I proved some time back [2]. Instead of using Carleman's method, I use the heat equation as I did in the case of the Euclidean space [1].