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Lewis A. Coburn

Professor
Department of Mathematics
University of Buffalo
United States of America

Lewis A. Coburn

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.

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