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Semi-Fredholm Properties of Certain Singular Integral Operators

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Singular Integral Operators and Related Topics

Part of the book series: Operator Theory Advances and Applications ((OT,volume 90))

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Abstract

A necessary and sufficient condition is established for n- and d- normality of singular integral operators P ++GP_ with G being an almost periodic matrix function with absolutely convergent Fourier series. This result is used to develop the semi-Fredholm theory in case G is semi almost periodic, but its asymptotics at ±∞ is described by almost periodic matrix functions of the above mentioned type.

Research supported by the NATO grant CRG 950332

Partially supported by the NSF grant DMS 9401848

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Author information

Authors and Affiliations

  1. Hydroacoustic Department Marine Hydrophysical Institute, Ukrainian Academy of Sciences, Preobrazhenskaya Str. 3, 270100, Odessa, Ukraine

    Yuri I. Karlovich

  2. Department of Mathematics, The College of William and Mary, Williamsburg, Virginia, 23187-8795, USA

    Ilya M. Spitkovsky

Authors
  1. Yuri I. Karlovich
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  2. Ilya M. Spitkovsky
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Editor information

Editors and Affiliations

  1. School of Mathematical Sciences, Tel-Aviv University, Ramat Aviv, Israel

    I. Gohberg

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© 1996 Birkhäuser Verlag, Basel/Switzerland

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Karlovich, Y.I., Spitkovsky, I.M. (1996). Semi-Fredholm Properties of Certain Singular Integral Operators. In: Böttcher, A., Gohberg, I. (eds) Singular Integral Operators and Related Topics. Operator Theory Advances and Applications, vol 90. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9040-3_9

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  • DOI: https://doi.org/10.1007/978-3-0348-9040-3_9

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9881-2

  • Online ISBN: 978-3-0348-9040-3

  • eBook Packages: Springer Book Archive

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