Home  /  Ricerca  / Eventi
20 Aprile, 2022 17:00
Sezione di Geometria, Algebra e loro applicazioni

Global pseudo-differential operator calculus over spin groups

Uwe Kaehler, University of Aveiro
On line e Aula Seminari del terzo piano
Abstract

In this talk we present a method to construct a global symbol calculus of pseudo-differential operators on spin groups in the sense of Ruzhansky-Turunen-Wirth, focussing on the special case Spin(4). Using representations of Spin(4) we construct a group Fourier transform and establish the calculus of left-invariant differential operators and of difference operators on the group Spin(4). Afterwards we apply this calculus to give criteria for the subellipticity and the global hypoellipticity of pseudo-differential operators in terms of their matrix-valued full symbols. Several examples of first and second order globally hypoelliptic differential operators are given, including some that are locally neither invertible nor hypoelliptic.

Cerca per sezione
Stringa di ricerca Reset

Seminari Matematici
a Milano e dintorni