Multidimensional Singular Integrals and Integral Equations
eBook - PDF

Multidimensional Singular Integrals and Integral Equations

  1. 172 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Multidimensional Singular Integrals and Integral Equations

About this book

Multidimensional Singular Integrals and Integral Equations presents the results of the theory of multidimensional singular integrals and of equations containing such integrals. Emphasis is on singular integrals taken over Euclidean space or in the closed manifold of Liapounov and equations containing such integrals. This volume is comprised of eight chapters and begins with an overview of some theorems on linear equations in Banach spaces, followed by a discussion on the simplest properties of multidimensional singular integrals. Subsequent chapters deal with compounding of singular integrals; properties of the symbol, with particular reference to Fourier transform of a kernel and the symbol of a singular operator; singular integrals in Lp spaces; and singular integral equations. The differentiation of integrals with a weak singularity is also considered, along with the rule for the multiplication of the symbols in the general case. The final chapter describes several applications of multidimensional singular integral equations to boundary problems in mathematical physics. This book will be of interest to mathematicians and students of mathematics.

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Information

Publisher
Pergamon
Year
2014
Print ISBN
9780080108520
eBook ISBN
9781483164496
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. Multidimensional Singular Integrals and Integral Equations
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. Preface
  7. CHAPTER I. INTRODUCTION
  8. CHAPTER II. SIMPLEST PROPERTIES OF MULTIDIMENSIONAL SINGULAR INTEGRALS
  9. CHAPTER III. COMPOUNDING OF SINGULAR INTEGRALS
  10. CHAPTER IV. PROPERTIES OF THE SYMBOL
  11. CHAPTER V. SINGULAR INTEGRALS IN Lp SPACES
  12. CHAPTER VI. FURTHER INVESTIGATION OF THE SYMBOL
  13. CHAPTER VII. SINGULAR INTEGRAL EQUATIONS
  14. CHAPTER VIII. MISCELLANEOUS APPLICATIONS
  15. APPENDIX: MULTIPLIERS OF FOURIER INTEGRALS
  16. BIBLIOGRAPHY
  17. INDEX
  18. OTHER TITLES IN THE SERIES IN PURE AND APPLIED MATHEMATICS

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Yes, you can access Multidimensional Singular Integrals and Integral Equations by S. G. Mikhlin, I. N. Sneddon,M. Stark,S. Ulam in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.