Wave front sets of different regularity

31.01.2022, 16:15  –  2.09.0.12
Forschungsseminar Differentialgeometrie

Rubens Longhi

The usual notion of wavefront set identifies the directions along which a distribution fails to be smooth. We present an equivalent definition that makes use of the Radon transform and which is suitable for a refinement of the notion of wavefront set. The aim is to define identifying the directions along which fails to have a certain regularity , for example Sobolev regularity and possibly extend the theorems about the propagation of singularities to this setting.

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