Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ORTHONORMAL BASIS FOR THE BERGMAN SPACE

  • Received : 2014.09.12
  • Accepted : 2014.11.24
  • Published : 2014.12.25
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Abstract

We construct an orthonormal basis for the Bergman space associated to a simply connected domain. We use the or-thonormal basis for the Hardy space consisting of the Szegő kernel and the Riemann mapping function and rewrite their area integrals in terms of arc length integrals using the complex Green's identity. And we make a note about the matrix of a Toeplitz operator with respect to the orthonormal basis constructed in the paper.

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References

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