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One-Dimensional Linear Singular Integral Equations

I. Introduction

  • Israel Gohberg
  • Naum Krupnik

Part of the Operator Theory: Advances and Applications book series (OT, volume 53)

Table of contents

  1. Front Matter
    Pages 1-9
  2. Israel Gohberg, Naum Krupnik
    Pages 11-13
  3. Israel Gohberg, Naum Krupnik
    Pages 15-50
  4. Israel Gohberg, Naum Krupnik
    Pages 51-80
  5. Israel Gohberg, Naum Krupnik
    Pages 81-155
  6. Israel Gohberg, Naum Krupnik
    Pages 157-223
  7. Israel Gohberg, Naum Krupnik
    Pages 225-253
  8. Back Matter
    Pages 255-269

About this book

Introduction

This book is an introduction to the theory of linear one-dimensional singular integral equations. It is essentually a graduate textbook. Singular integral equations have attracted more and more attention, because, on one hand, this class of equations appears in many applications and, on the other, it is one of a few classes of equations which can be solved in explicit form. In this book material of the monograph [2] of the authors on one-dimensional singular integral operators is widely used. This monograph appeared in 1973 in Russian and later in German translation [3]. In the final text version the authors included many addenda and changes which have in essence changed character, structure and contents of the book and have, in our opinion, made it more suitable for a wider range of readers. Only the case of singular integral operators with continuous coefficients on a closed contour is considered herein. The case of discontinuous coefficients and more general contours will be considered in the second volume. We are grateful to the editor Professor G. Heinig of the volume and to the translators Dr. B. Luderer and Dr. S. Roch, and to G. Lillack, who did the typing of the manuscript, for the work they have done on this volume.

Keywords

Algebra Banach algebra Hilbert space Integral equation linear optimization 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

Bibliographic information