Based on five mini-courses and 15 of the lectures given at the workshop held in 2006 in Toronto by the Fields Institute, these papers address partial differential equations, geometric analysis, Fourier integral operators, localization operators, Gabor transforms, wavelet transforms, Rihaczek transforms and time-frequency analysis. Papers also cover the mathematical underpinnings, applications and ramification of the relatively new Stockwell transform, a combination of the Gabor and wavelet transforms. Specific topics include Hörmander operators and non-holonomic geometry, Weyl transforms and the inverse of the sub-Laplacian on the Heisenberg group, corner operators and applications to elliptic complexes, semilinear pseudo-differential equations and traveling waves, trace ideals for Fourier integral operators with non-smooth symbols, the S-transform and why to use it, inversion formulas for two-dimensional Stockwell transforms, Shannon-type sampling theorems on the Heisenberg group, and a unified point of view on time-frequency representatives and pseudo-differential operators. Directed at graduate students and post-doctoral researchers. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)
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Book by Luigi Rodino BertWolfgang Schulze M W Wong
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