A FORMULA REPRESENTING MAGNETIC BEREZIN TRANSFORMS ON THE UNIT BALL OF C-N AS FUNCTIONS OF THE LAPLACE-BELTRAMI OPERATOR

作者：Ghanmi Allal^*; Mouayn Zouhair

来源：Houston Journal of Mathematics, 2014, 40(1): 109-126.

• Magnetic Schrodinger operator
• Generalized Bergman spaces
• Generalized Berezin Transforms
• Laplace-Beltrami operator

We give a formula that represents magnetic Berezin transforms associated with generalized Bergman spaces as functions of the Laplace-Beltrami operator on the unit ball of of the n-complex space. In particular, we recover the result obtained by F.A. Berezin [Izv. Akad. Nauk SSSRSer. Mat. 39 (2) 1975] and restated by J. Peetre [J. Oper. Theory, 24, 1990].

• 出版日期2014