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Singular Integral Operators
Solomon G. Mikhlin
Siegfried Prößdorf
出版
Springer Science & Business Media
, 1987
主題
Mathematics / Calculus
Mathematics / Mathematical Analysis
Mathematics / Functional Analysis
ISBN
3540159673
9783540159674
URL
http://books.google.com.hk/books?id=eaMmy99UTHgC&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.