Presentation complex

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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 f : D → C, the Berezin transform of f is a new function Bf : D → C defined at a point z ∈ D by

(Bf)(z)=D(1|z|2)2|1zw¯|4f(w)dA(w),

where Template:Overline denotes the complex conjugate of w and dA is the area measure. It is named after Felix Alexandrovich Berezin.

References

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