대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제34권4호
  • /
  • Pages.1135-1143
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  • 2019
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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COMPUTATION OF THE MATRIX OF THE TOEPLITZ OPERATOR ON THE HARDY SPACE

  • 투고 : 2018.08.17
  • 심사 : 2018.12.18
  • 발행 : 2019.10.31
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초록

The matrix representation of the Toeplitz operator on the Hardy space with respect to a generalized orthonormal basis for the space of square integrable functions associated to a bounded simply connected region in the complex plane is completely computed in terms of only the Szegő kernel and the Garabedian kernels.

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참고문헌

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  3. L. Carlitz, Arithmetic properties of the Bell polynomials, J. Math. Anal. Appl. 15 (1966), 33-52. https://doi.org/10.1016/0022-247X(66)90135-1
  4. Y.-B. Chung, Classification of Toeplitz operators on Hardy spaces of bounded domains in the plane, Math. Notes 101 (2017), no. 3-4, 529-541. https://doi.org/10.1134/S0001434617030142
  5. Y.-B. Chung, Matrices of Toeplitz operators on Hardy spaces over bounded domains, Bull. Korean Math. Soc. 54 (2017), no. 4, 1421-1441. https://doi.org/10.4134/BKMS.b160611
  6. Y.-B. Chung, Special orthonormal basis for $L^2$ functions on the unit circle, Bull. Korean Math. Soc. 54 (2017), no. 6, 2013-2027. https://doi.org/10.4134/BKMS.b160697
  7. R. A. Leslie, How not to repeatedly differentiate a reciprocal, Amer. Math. Monthly 98 (1991), no. 8, 732-735. https://doi.org/10.2307/2324425