Abstract
Abstract Our next objective is Wiener-Hopf operators on LP (R + w). One of the technical differences between Wiener-Hopf and Toeplitz operators is the emergence of a multiplier problem in the Wiener-Hopf case. This problem is studied in the first section of this chapter where we in particular prove the important Stechkin inequality. Another point is that Wiener-Hopf factorization is in fact a technique for Toeplitz operators that does not work for Wiener-Hopf operators on LP spaces. This obstacle can be overcome by appropriately switching between different spaces and naturally leads to the consideration of pseudodifferential operators with piecewise continuous symbols. KeywordsToeplitz OperatorPseudodifferential OperatorEssential SpectrumPiecewise Constant FunctionFourier MultiplierThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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