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The Spectrum of Singular Integral Operators in L p Spaces

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Convolution Equations and Singular Integral Operators

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 206))

Abstract

First, we shall consider the simplest class of one-dimensional singular integral operators — the class of discrete Wiener-Hopf operators.

The paper was originally published as И.Ц. Гохберг, Н.Я. Крупник, О спектре сингул-ирных интегралных операторов в пространствах L p , Studia Math. 31 (1968), 347–362. MR0236774 (38 #5068), Zbl 0179.19701.

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Authors
  1. Israel Gohberg
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  2. Nahum Krupnik
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Technion-Israel Institute of Technology, Haifa, 32000, Israel

    Leonid Lerer

  2. Department of Mathematics, University of Connecticut, 196 Auditorium Road, U-9, Storrs, CT, 06269, USA

    Vadim Olshevsky

  3. Department of Mathematics, College of William & Mary, Williamsburg, VA, 23187-8795, USA

    Ilya M. Spitkovsky

Additional information

To S. Mazur and W. Orlicz

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Gohberg, I., Krupnik, N. (2010). The Spectrum of Singular Integral Operators in L p Spaces. In: Lerer, L., Olshevsky, V., Spitkovsky, I.M. (eds) Convolution Equations and Singular Integral Operators. Operator Theory: Advances and Applications, vol 206. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8956-7_7

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