An Uncertainty Principle for Eigenfunction Expansions |
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| Authors: | V Pati A Sitaram M Sundari S Thangavelu |
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| Institution: | (1) Statistics and Mathematics Unit, Indian Statistical Institute, 8th Mile, Mysore Road, Bangalore 560 059, India |
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| Abstract: | In this paper, we extend a theorem of Hardy’s on Fourier transform pairs to: (a) a noncompact-type Riemannian symmetric space
of rank one, with respect to the eigenfunction expansion of the invariant Laplacian; (b) a compact Riemannian manifold with
respect to the eigenfunction expansion of a positive elliptic operator; and (c) Rn with respect to Hermite and Laguerre expansions. |
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