A calculus of Fourier integral operators with inhomogeneous phase functions on R d

Sandro Coriasco () and Joachim Toft ()
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Sandro Coriasco: Università degli Studi di Torino
Joachim Toft: Linnæus University

Indian Journal of Pure and Applied Mathematics, 2016, vol. 47, issue 1, 125-166

Abstract: Abstract We construct a calculus for generalized SG Fourier integral operators, extending known results to a broader class of symbols of SG type. In particular, we do not require that the phase functions are homogeneous. An essential ingredient in the proofs is a general criterion for asymptotic expansions within the Weyl-Hörmander calculus. We also prove the L 2(R d )-boundedness of the generalized SG Fourier integral operators having regular phase functions and amplitudes uniformly bounded on R 2d .

Keywords: Fourier integral operator; Weyl-Hörmander calculus; micro-local analysis (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s13226-016-0181-8

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