Abstract
Basic properties of Fourier integral operators on the torus \( \mathbb{T}^n = (\mathbb{R}/2\pi \mathbb{Z})^n \) are studied by using the global representations by Fourier series instead of local representations. The results can be applied in studying hyperbolic partial differential equations.
This first author would like to thank the UK Royal Society for its support. The second author thanks the Academy of Finland and Magnus Ehrnrooth Foundation for their support.
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Ruzhansky, M., Turunen, V. (2006). On the Fourier Analysis of Operators on the Torus. In: Toft, J. (eds) Modern Trends in Pseudo-Differential Operators. Operator Theory: Advances and Applications, vol 172. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8116-5_5
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DOI: https://doi.org/10.1007/978-3-7643-8116-5_5
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