Time Decay and Regularity of Solutions to the Wave Equation and Convergence of Fourier Expansions
- Cite this article as:
- Colzani, L. J. Fourier Anal. Appl. (2003) 9: 49. doi:10.1007/s00041-003-0002-4
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We estimate the time decay and regularity of solutions to the wave equation and study the localization and convergence of Fourier integrals. While for generic square integrable functions the results hold almost everywhere, for radial functions the only exception is at the origin.