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The present book is devoted to the wide field of Fourier analysis and its applications to several areas of mathematics, including problems in the theory of pseudo-differential operators, partial differential equations, and the time-frequency analysis. It is based on the lectures given at the international conference "Fourier Analysis and Pseudo-Differential Operators", organised on June 25-30, 2012, at Aalto University, Finland. The meeting featured 73 speakers, attracting 93 participants. This collection of 20 refereed articles is based on selected talks and presents recent progress in the field. The conference was a satellite meeting of the 6th European Congress of Mathematics that took place in Krakow in July 2012, and it was also the 6th meeting in the series "Fourier Analysis and Partial Differential Equations".