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arxiv: math/0612575 · v1 · submitted 2006-12-20 · 🧮 math.FA · math.AP

On the Fourier analysis of operators on the torus

classification 🧮 math.FA math.AP
keywords fourieroperatorsrepresentationstorusanalysisappliedbasicdifferential
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Basic properties of Fourier integral operators on the torus are studied by using the global representations by Fourier series instead of local representations. The results can be applied to weakly hyperbolic partial differential equations.

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