Symplectic duality between complex domains

DI SCALA A. J;LOI, ANDREA;ZUDDAS, FABIO

2010-01-01

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Abstract

In this paper after extending the definition of symplectic duality [given in Di Scala and Loi (Adv Math 217:2336–2352, 2008) for bounded symmetric domains] to arbitrary complex domains of Cn centered at the origin we generalize some of the results proved in Di Scala and Loi (Adv Math 217:2336–2352, 2008) and Di Scala et al. (Trans Groups 13(2):283–304, 2008) to those domains.