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Séminaire d'Analyse
On the current state of the factorization problem for almost periodic matrix functions
Ilya Spitkovsky, College of William and Mary
( Virginia )Salle 1
02 juin 2009 à 14:00
- Abstract: Factorization of almost periodic (AP) matrix functions arises naturally in a variety of problems, both theoretical and applied, and for many of them the matrix in question is 2-by-2 and triangular. Even in this setting the factorability properties remain a mystery, in striking difference with both the scalar almost periodic case and with purely periodic matrix case. We will give a survey of currently available existential results regarding the factorization of general AP matrix functions, as well as available approaches to constructive factorization of the specific matrices mentioned above.
