In mathematics — specifically, in complex analysis — the Berezin transform is an integral operator acting on functions defined on the open unit disk D of the complex plane C. Formally, for a function à: D â C, the Berezin transform of àis a new function Bà: D â C defined at a point z â D by
where denotes the complex conjugate of w and is the area measure. It is named after Felix Alexandrovich Berezin.