# Lewis A. Coburn

Professor

Department of Mathematics

University of Buffalo

United States of America

### Biography

Lewis A. Coburn awarded PhD from University of Michigan. He has extended his/her valuable service in Various Universities for many years and has been a recipient of many award and grants. Currently, he is working as a Professor for University of Buffalo. His international experience includes various programs, contributions and participation in different countries for diverse fields of study. His research Interest includes operator theory, C*-algebras, and quantum mechanics from the viewpoint of deformations of C*-algebras. The operators on which I focus are usually of Toeplitz-type and act on the square-integrable holomorphic functions on phase-space. He is interested in C*-algebras of these operators with various interesting "symbols" and the relation of such algebras to algebras of pseudo-differential operators which have been studied classically.In the past several years, I have become interested in the structure of the Berezin symbol calculus of general operators on Bergman reproducing kernel Hilbert spaces. This calculus serves as a model for "quantization" and has been the object of considerable attention since it was introduced by Berezin in the 1970's

#### Research Interest

His research Interest includes operator theory, C*-algebras, and quantum mechanics from the viewpoint of deformations of C*-algebras. The operators on which I focus are usually of Toeplitz-type and act on the square-integrable holomorphic functions on phase-space. He is interested in C*-algebras of these operators with various interesting "symbols" and the relation of such algebras to algebras of pseudo-differential operators which have been studied classically.