Analytic Fourier Integral Operators, Monge-amp Ere Equation and Holomorphic Factorization
نویسنده
چکیده
We will show that the factorization condition for the Fourier integral operators I (X; Y ;) leads to a parametrized parabolic Monge-Amp ere equation. In case of an analytic operator the bration by the kernels of the Hessian of phase function is shown to be analytic in a number of cases by considering more general continuation problem for the level sets of a holomorphic mapping. The results are applied to obtain L p-continuity for translation invariant operators in R n with n 4 and for arbitrary R n with dd XY j n + 2.
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تاریخ انتشار 2007