Singular Integrals and Differentiability Properties of Functions
eBook - PDF

Singular Integrals and Differentiability Properties of Functions

  1. 304 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Singular Integrals and Differentiability Properties of Functions

About this book

Singular integrals are among the most interesting and important objects of study in analysis, one of the three main branches of mathematics. They deal with real and complex numbers and their functions. In this book, Princeton professor Elias Stein, a leading mathematical innovator as well as a gifted expositor, produced what has been called the most influential mathematics text in the last thirty-five years. One reason for its success as a text is its almost legendary presentation: Stein takes arcane material, previously understood only by specialists, and makes it accessible even to beginning graduate students. Readers have reflected that when you read this book, not only do you see that the greats of the past have done exciting work, but you also feel inspired that you can master the subject and contribute to it yourself.


Singular integrals were known to only a few specialists when Stein's book was first published. Over time, however, the book has inspired a whole generation of researchers to apply its methods to a broad range of problems in many disciplines, including engineering, biology, and finance.


Stein has received numerous awards for his research, including the Wolf Prize of Israel, the Steele Prize, and the National Medal of Science. He has published eight books with Princeton, including Real Analysis in 2005.

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Yes, you can access Singular Integrals and Differentiability Properties of Functions by Elias M. Stein in PDF and/or ePUB format, as well as other popular books in Mathematics & Functional Analysis. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Dedication
  5. Contents
  6. PREFACE
  7. NOTATION
  8. I. SOME FUNDAMENTAL NOTIONS OF REAL-VARIABLE THEORY
  9. II. SINGULAR INTEGRALS
  10. III. RIESZ TRANSFORMS, POISSON INTEGRALS, AND SPHERICAL HARMONICS
  11. IV. THE LITTLEWOOD-PALEY THEORY AND MULTIPLIERS
  12. V. DIFFERENTIABILITY PROPERTIES IN TERMS OF FUNCTION SPACES
  13. VI. EXTENSIONS AND RESTRICTIONS
  14. VII. RETURN TO THE THEORY OF HARMONIC FUNCTIONS
  15. VIII. DIFFERENTIATION OF FUNCTIONS
  16. APPENDICES
  17. BIBLIOGRAPHY
  18. INDEX