Pseudo-differential operators on manifolds with edges
Yu. V. Egorov, Bert‐Wolfgang Schulze · Birkhäuser Basel eBooks · 1997
The pseudo-differential operators on manifolds with edges can be obtained as a calculus along the edges with operator-valued symbols acting along the model cones of corresponding wedges. The “abstract” background can be formulated independently, and it has applications also to more complicated singularities, cf. [Sc3]. Sections 9.1.1–9.1.3 are devoted to the main definitions and results that are needed below in the concrete edge theory. Proofs and further details may be found in [Sc1], [Sc2]. On the other hand, the theory of pseudo-differential operators with operator-valued symbols is a natural extension of the scalar case, and the reader will recognize the basic ideas of the ordinary calculus.