Abstract
The aim of this paper is twofold: first to provide evidence of a nice relationship between index theory and operator algebras within the framework of geometric measure theory by exhibiting basic examples involving one dimensional singular integral operators; second to expose certain connections that exist involving the principal function associated to an operator having trace class self-commutator and the theory of function algebras.
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Carey, R.W., Pincus, J.D. Principal functions, index theory, geometric measure theory and function algebras. Integr equ oper theory 2, 441–483 (1979). https://doi.org/10.1007/BF01691073
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DOI: https://doi.org/10.1007/BF01691073