The Berezin calculus
Summary: We present a canonical account of the Berezin integral and associated Berezin expectation over Hilbert spaces of arbitrary dimension. Our account is illustrated by an extensive discussion of Gaussians, by a Berezinian version of the kernel theorem for generalized functions, and by an extension of the Shale-Stinespring theorem on spin transformations.
scientific article; zbMATH DE number 1439843