Infimum of the spectrum of Laplace-Beltrami operator on Cartan classical domains of type III and IV

摘要

Let RA be the Cartan classical domains of type III and IV, and & UDelta;g is assumed to be the Laplace-Beltrami operator associated to the Bergman metric g on RA. In this paper, we derive an estimate for & lambda;1(& UDelta;g), which is the bottom of the spectrum of & UDelta;g on RA.

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