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On Singular Integral Equations with Unbounded Coefficients

  • Israel Gohberg
  • Nahum Krupnik
Part of the Operator Theory: Advances and Applications book series (OT, volume 206)

Abstract

Algebras generated by singular integral operators with piecewise continuous coefficients are studied in the papers [1, 2, 3, 4]. The results obtained there allow us to obtain theorems on solvability and index formulas for singular integral operators of new types.

Keywords

English Translation Singular Integral Equation Weighted Space Singular Integral Operator Index Formula 
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References

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    I.C. Gohberg and N.Ya. Krupnik, Algebra generated by one-dimensional singular integral operators with piecewise continuous coefficients. Funkcional. Anal. Prilozhen. 4 (1970), no. 3, 26–36 (in Russian). English translation: Funct. Anal. Appl. 4 (1970), no. 3, 193-201. MR0270164 (42 #5057), Zbl 0225.45005.MathSciNetGoogle Scholar
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© Springer Basel AG 2010

Authors and Affiliations

  • Israel Gohberg
  • Nahum Krupnik

There are no affiliations available

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