Bilinear Localization Operators on Modulation Spaces

Abstract EN

We introduce a class of bilinear localization operators and show how to interpret them as bilinear Weyl pseudodifferential operators.

Such interpretation is well known in linear case whereas in bilinear case it has not been considered so far.

Then we study continuity properties of both bilinear Weyl pseudodifferential operators and bilinear localization operators which are formulated in terms of a modified version of modulation spaces.