Conical Refraction and Higher Microlocalization

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.