June 16, 2008

Ilya Krishtal

Title: Different causal factorizations of time-frequency shifts and almost periodic pseudodifferential operators

Abstract:

I will outline an abstract approach to causality on the basis of the spectral theory of Banach modules and use this approach to obtain a causal factorization in certain algebras of almost periodic operators. Time-frequency shifts and almost periodic pseudodifferential operators will serve as natural examples of such operators.