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Phone: (407) 823-6284;   Fax: (407) 823-6253;   MAP  207 2004-2005 MATHEMATICS COLLOQUIUM SERIES 04/05/05 Colloquium Dr. Ilya Spitkovsky College of William and Mary Factorization of almost periodic matrix functions and its applications Abstract:   We will give an overview of the current state of the factorization problem in the case when the matrix function involved is almost periodic (in Bohr sense). 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.