The asymptotic behavior of a Fourier transform and the localization property for eigenfunction expansions for some partial differential operators

Randol, Burton

doi:10.1090/S0002-9947-1972-0296600-X

The asymptotic behavior of a Fourier transform and the localization property for eigenfunction expansions for some partial differential operators
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by Burton Randol

Trans. Amer. Math. Soc. 168 (1972), 265-271

DOI: https://doi.org/10.1090/S0002-9947-1972-0296600-X

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Abstract:

The asymptotic behavior of a certain Fourier transform is investigated, and the result is applied to obtain a localization theorem for elliptic operators on the torus.

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