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The main topic of the book is higher analytic§microlocalization and its application to problems of§propagation of singularities. The part on higher§microlocalization could serve as an introduction to the§subject. The results on propagation refer to solutions of§linear partial differentialoperators with characteristics§of variable multiplicity and are of conical refraction type.§The relation and interplay between these results and results§or constructions from geometrical optics in crystal theory§is discussed with many details. The notes are written§foremost for researchers working in microlocal analysis,§but it is hoped that they can also be of interest for§mathematicians and physicists who work in propagation§phenomena from a more classical point of view.