Canonical integral operators on the Fock space


题目: Canonical integral operators on the Fock space

报告人: 朱克和



Abstract: In this talk I will present my recent joint work with Professor Xing-Tang Dong of Tianjin University. We introduce and study a two-parameter family of integral operators on the Fock space.We determine exactly when these operators are bounded and when they are unitary. We show that, under the Bargmann transform, these operators include the classical linear canonical transforms as special cases. As an application, we obtain a new unitary projective representation for the special linear group SL(2,R) on the Fock space.



地点:Zhengxin Building 716


About the Speaker:

Kehe Zhu is professor and former Chair of the Department of Mathematics and Statistics at SUNY-Albany, USA. He is a fellow of the American Mathematical Society. Professor Zhu’s research areas are analytic function spaces and operators on them. He has published over 130 papers in prestigious journals and several influential monographs, including three in the well-known Springer Graduate Texts in Mathematics (GTM) series. He is the current Editor-in-Chief of the New York Journal of Mathematics.

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