The method of limit operators for one-dimensional singular integrals with slowly oscillating data

A. Böttcher, Yu I. Karlovich, V. S. Rabinovich

Research output: Contribution to journalArticle

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Abstract

One of the great challenges of the spectral theory of singular integral operators is a theory unifying the three "forces" which determine the local spectra: the oscillation of the Carleson curve, the oscillation of the Muckenhoupt weight, and the oscillation of the coefficients. In this paper we demonstrate how by employing the method of limit operators one can describe the spectra in case all data of the operator (the curve, the weight, and the coefficients) are slowly oscillating.
Original languageAmerican English
Pages (from-to)171-198
Number of pages151
JournalJournal of Operator Theory
StatePublished - 1 Dec 1998
Externally publishedYes

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