The authors investigate the global continuity on L p spaces with p [1, ] of Fourier integral operators with smooth and rough amplitudes and/or phase functions subject to certain necessary non-degeneracy conditions. In this context they prove the optimal global L 2 boundedness result for Fourier integral operators with non-degenerate phase functions and the most general smooth Hoermander class amplitudes i.e. those in S m , with , [0,1] . They also prove the very first results concerning the continuity of smooth ...
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The authors investigate the global continuity on L p spaces with p [1, ] of Fourier integral operators with smooth and rough amplitudes and/or phase functions subject to certain necessary non-degeneracy conditions. In this context they prove the optimal global L 2 boundedness result for Fourier integral operators with non-degenerate phase functions and the most general smooth Hoermander class amplitudes i.e. those in S m , with , [0,1] . They also prove the very first results concerning the continuity of smooth and rough Fourier integral operators on weighted L p spaces, L p w with 1
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Add this copy of Global and Local Regularity of Fourier Integral to cart. £103.20, fair condition, Sold by ThriftBooks-Reno rated 4.0 out of 5 stars, ships from Reno, NV, UNITED STATES, published 2014 by Amer Mathematical Society.