$L^{2}$ asymptotes for Fourier transforms of surface- carried measures
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- by Stuart Nelson PDF
- Proc. Amer. Math. Soc. 28 (1971), 134-136 Request permission
Abstract:
W. Littman has shown how to obtain asymptotic approximations for Fourier transforms of surface-carried measures of the form $\mu (X)dA$ where $dA$ represents the area measure for the surface as a subset of Euclidean space and $\mu (X)$ is a compactly supported ${C^\infty }$ function. Here we extend to the case where $\mu (X)$ is an ${L^2}$ function.References
- Walter Littman, Fourier transforms of surface-carried measures and differentiability of surface averages, Bull. Amer. Math. Soc. 69 (1963), 766–770. MR 155146, DOI 10.1090/S0002-9904-1963-11025-3
- Stuart Nelson, $L^{2}$ asymptotes for the Klein-Gordon equation, Proc. Amer. Math. Soc. 27 (1971), 110–116. MR 271561, DOI 10.1090/S0002-9939-1971-0271561-2
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 134-136
- MSC: Primary 42.25
- DOI: https://doi.org/10.1090/S0002-9939-1971-0283491-0
- MathSciNet review: 0283491