Singular Integral Operators

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  • Singular Integral Operators Book Detail

  • Author : Solomon G. Mikhlin
  • Release Date : 1987
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 530
  • ISBN 13 : 9783540159674
  • File Size : 67,67 MB

Singular Integral Operators by Solomon G. Mikhlin PDF Summary

Book Description: The present edition differs from the original German one mainly in the following addi tional material: weighted norm inequalities for maximal functions and singular opera tors (§ 12, Chap. XI), polysingular integral operators and pseudo-differential operators (§§ 7, 8, Chap. XII), and spline approximation methods for solving singular integral equations (§ 4, Chap. XVII). Furthermore, we added two subsections on polynomial approximation methods for singular integral equations over an interval or with dis continuous coefficients (Nos. 3.6 and 3.7, Chap. XVII). In many places we incorporated new results which, in the vast majority, are from the last five years after publishing the German edition (note that the references are enlarged by about 150 new titles). S. G. Mikhlin wrote §§ 7, 8, Chap. XII, and the other additions were drawn up by S. Prossdorf. We wish to express our deepest gratitude to Dr. A. Bottcher and Dr. R. Lehmann who together translated the text into English carefully and with remarkable expertise.

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Singular Integral Operators

Singular Integral Operators

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The present edition differs from the original German one mainly in the following addi tional material: weighted norm inequalities for maximal functions and sing