Titlebook: Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators; Albrecht B?ttcher,Yuri I. Karlovich Book 1997 Springer Basel AG 1997 Singula

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https://doi.org/10.1007/978-3-642-28531-8This chapter contains extensions, generalizations, and analogues of certain results of the previous chapters. For lack of space, the results of the present chapter are not equipped with full proofs, but each section is a short introductory survey on a more or less autonomous topic with precise references to the literature.

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Interaction between curve and weight,Chapter 1 dealt with curves only, and in Chapter 2 we focussed our attention on weights, although weights cannot exist without a curve they live on. We now turn to some problems arising when considering a curve and a weight on this curve as a whole.

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Composed curves,The purpose of this chapter is to establish Fredholm criteria for operators in the algebra alg (.., .(Γ)) in case Γ is an arbitrary composed Carleson curve. Localization techniques give us the essential spectrum of an operator in alg (.., .(Γ)) as the union of its local spectra.

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0743-1643 ressed to a wide audience of students and mathematicians interested in real and complex analysis, functional analysis and operator theory..978-3-0348-9828-7978-3-0348-8922-3Series ISSN 0743-1643 Series E-ISSN 2296-505X