Seminario del 2018

Gennaio
26
2018
Giulia Sarfatti
Shift invariant subspaces of the quaternionic space of slice L^2 functions
nell'ambito della serie: COMPLEX ANALYSIS LAB
analisi matematica
In this seminar I will introduce the space of slice L^2 functions over the quaternions and I will present a characterization result for (simply and doubly) invariant subspaces for the shift operator, recently obtained in collaboration with Alessandro Monguzzi. Besides its own interest, our result gives a different proof for the quaternionic analog of the classical Beurling Theorem and allows us to obtain an inner-outer factorization for functions in the quaternionic Hardy space.
organizzato da: Nicola Arcozzi, Nikolaos Chalmoukis, Matteo Levi, Alessandro Monguzzi, Pavel Mozolyako, Giulia Sarfatti

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