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Berezin Transform

The operator B^~ defined by

B^~f(z)=int_D((1-|z|^2)^2)/(|1-zw^_|^4)f(w)dA(w)

for z in D, where D is the unit open disk and w^_ is the complex conjugate (Hedenmalm et al. 2000, p. 29).

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References

Hedenmalm, H.; Korenblum, B.; and Zhu, K. "The Berezin Transform." Ch. 2 in Theory of Bergman Spaces. New York: Springer-Verlag, pp. 28-51, 2000.

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Berezin Transform

Cite this as:

Weisstein, Eric W. "Berezin Transform." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BerezinTransform.html

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