Founding harmonic analysis on classical simple complex groups, I.M. Gelfand and M.A. Naimark in their classical book [GN] posed three basic questions: unitary duals, characters of irreducible unitary representations and Plancherel measures. In the case of reductive p-adic groups, the only series of reductive groups where unitary duals are known are general linear groups. In this paper we reduce...

A class of natural linear characters for the centralizers of elements in the symmetric group is introduced. The character values of the corresponding monomial characters are calculated. They have a surprising combinatorial interpretation.

Chinese characters are logograms each of which corresponds to one or only a few ideas. To express many ideas, many characters have to be used. Thus, in order to distinguish different characters, great complexity of form is necessary. If Chinese characters had evolved so as to maximize efficiency in conveying ideas, character complexity would depend on the necessary number of characters. Therefo...

Character segmentation is a critical step of OCR system. In this paper we discussed segmentation approaches of touching and kerned characters.A non-linear segmentation pathbased algorithm for segmenting touching and kerned characters is put forward. First, touching and kerned characters are extracted and segregated with other characters by using character projections and recognition results.The...