One-Dimensional Linear Singular Integral Equations

Volume II General Theory and Applications

  • Israel Gohberg
  • Naum Krupnik

Part of the Operator Theory: Advances and Applications book series (OT, volume 54)

Table of contents

  1. Front Matter
    Pages 1-9
  2. Israel Gohberg, Naum Krupnik
    Pages 11-14
  3. Israel Gohberg, Naum Krupnik
    Pages 15-25
  4. Israel Gohberg, Naum Krupnik
    Pages 27-47
  5. Israel Gohberg, Naum Krupnik
    Pages 151-164
  6. Israel Gohberg, Naum Krupnik
    Pages 181-198
  7. Back Matter
    Pages 223-232

About this book


This monograph is the second volume of a graduate text book on the modern theory of linear one-dimensional singular integral equations. Both volumes may be regarded as unique graduate text books. Singular integral equations attract more and more attention since this class of equations appears in numerous applications, and also because they form one of the few classes of equations which can be solved explicitly. The present book is to a great extent based upon material contained in the second part of the authors' monograph [6] which appeared in 1973 in Russian, and in 1979 in German translation. The present text includes a large number of additions and complementary material, essentially changing the character, structure and contents of the book, and making it accessible to a wider audience. Our main subject in the first volume was the case of closed curves and continuous coeffi­ cients. Here, in the second volume, we turn to general curves and discontinuous coefficients. We are deeply grateful to the editor Professor G. Heinig, to the translator Dr. S. Roeh, and to the typist Mr. G. Lillack, for their patient work. The authors Ramat-Aviv, Ramat-Gan, May 26, 1991 11 Introduction This book is the second volume of an introduction to the theory of linear one-dimensional singular integral operators. The main topics of both parts of the book are the invertibility and Fredholmness of these operators. Special attention is paid to inversion methods.


Integral equation equation integral operator

Authors and affiliations

  • Israel Gohberg
    • 1
  • Naum Krupnik
    • 2
  1. 1.School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact SciencesTel Aviv UniversityTel AvivIsrael
  2. 2.Department of MathematicsBar Ilan UniversityRamat GanIsrael

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