Functional Analysis and Applications Seminar 

17/12/2002, 15:15 — 16:15 — Room P5, Mathematics Building
Ilya Spitkovsky, College of William and Mary, Williamsburg, VA, USA

Factorization of Almost Periodic Matrix Functions and its Applications

We will give an overview of the current state of the spectral theory of Toeplitz operators with matrix semi almost periodic symbol. The role of the factorization problem for purely almost periodic (in Bohr sense) matrix functions will be explained. Existence of factorization will be discussed along with algorithms of its actual construction. Applications include (but are not limited to) convolution type equations on finite intervals.