Corpus ID: 197497434

# Global L2-boundedness theorems for a class of Fourier integral operators

@article{Ruzhansky2003GlobalLT,
title={Global L2-boundedness theorems for a class of Fourier integral operators},
author={Michael Ruzhansky and M. Sugimoto},
journal={arXiv: Analysis of PDEs},
year={2003}
}
• Published 2003
• Mathematics
• arXiv: Analysis of PDEs
The local $L^2$-mapping property of Fourier integral operators has been established in H\"ormander \cite{H} and in Eskin \cite{E}. In this paper, we treat the global $L^2$-boundedness for a class of operators that appears naturally in many problems. As a consequence, we will improve known global results for several classes of pseudo-differential and Fourier integral operators, as well as extend previous results of Asada and Fujiwara \cite{AF} or Kumano-go \cite{Ku}. As an application, we show a… Expand
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