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Phone: (407) 823-6284;   Fax: (407) 823-6253;   MAP  207 2004-2005 MATHEMATICS COLLOQUIUM SERIES 09/24/04 Colloquium DR. XIANLIANG SHI HUNAN NORMAL UNIVERSITY CHINA Characterizations for Affine Frames Abstract:   On characterization for affine frames until now no one established any worthy results. So people usually consider necessity and sufficiency separately. In this talk, I will introduce some developments in this direction.