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Toeplitz and Hankel operators on the Paley-Wiener space
Authors:Richard Rochberg
Institution:(1) Department of Mathematics, Washington University, Campus Box 1146, 63160 St. Louis, MO, USA
Abstract:The basic theory of Toeplitz and Hankel operators acting on the Paley-Weiner space is developed. This includes criteria for boundedness, compactness, being of finite rank, and membership in the Schatten-von Neumann ideals. Similar questions are considered for the related operators formed by commuting the discrete Hilbert transform with a multiplication operator.Supported in part by a grant from the National Science Foundation.
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