%0 Journal Article %T Gauss--Berezin integral operators and spinors over supergroups $\OSp(2p|2q)$, and Lagrangian super-Grasmannians %A Yuri Neretin %J Mathematics %D 2007 %I arXiv %X We obtain explicit formulas for the spinor representation of the orthosymplectic supergroup $\OSp(2p|2q)$ and the corresponding super-Olshanski semigroup. Also we extend the representation to Lagrangian super-Grassmannian. %U http://arxiv.org/abs/0707.0570v3