Computation of the matrix of the Toeplitz operator on the Hardy space
Commun. Korean Math. Soc.
Published online March 4, 2019
Young-Bok Chung
Chonnam National University
Abstract : 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 Szeg\H o kernel and the Garabedian kernels.
Keywords : Toeplitz operator, Hardy space, Toeplitz matrix, Szeg\H o kernel
MSC numbers : 47B35, 30C40
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