$C^*$-algebras of bisingular operators with discontinuous coefficients

L. I. Sazonov

Izvestiya. Mathematics , Tome 63 (1999) no. 2, pp. 367-399.

Résumé

We investigate the Fredholm property in the $C^*$-algebra of bisingular operators with coefficients having discontinuities along smooth curves using a modification of the Gokhberg–Krupnik local principle, and study some canonical algebras of singular and bisingular operators and present an algorithm for calculating their index.

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