Description

Book Synopsis
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. This book deals with this aspect, and serves as a mathematics text.

Table of Contents
*Frontmatter, pg. i*Preface, pg. vii*Notation, pg. ix*Contents, pg. xiii*I. Some Fundamental Notions of Real-Variable Theory, pg. 1*II. Singular Integrals, pg. 26*III. Riesz Transforms, Poisson Integrals, and Spherical Harmonics, pg. 54*IV. The Littlewood-Paley Theory and Multipliers, pg. 81*V. Differentiability Properties in Terms of Function Spaces, pg. 116*VI. Extensions and Restrictions, pg. 166*VII. Return to the Theory of Harmonic Functions, pg. 196*VIII. Differentiation of Functions, pg. 240*Appendices, pg. 271*Bibliography, pg. 279*Index, pg. 289

Singular Integrals and Differentiability

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    A Hardback by Elias M. Stein

    £999.99

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      Book details

      Publisher Princeton University Press
      Published 21 February 1971
      ISBN-13 9780691080796
      978-0691080796
      ISBN-10 0691080798
      Also in:
      Mathematics

      Description

      Book Synopsis
      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. This book deals with this aspect, and serves as a mathematics text.

      Table of Contents
      *Frontmatter, pg. i*Preface, pg. vii*Notation, pg. ix*Contents, pg. xiii*I. Some Fundamental Notions of Real-Variable Theory, pg. 1*II. Singular Integrals, pg. 26*III. Riesz Transforms, Poisson Integrals, and Spherical Harmonics, pg. 54*IV. The Littlewood-Paley Theory and Multipliers, pg. 81*V. Differentiability Properties in Terms of Function Spaces, pg. 116*VI. Extensions and Restrictions, pg. 166*VII. Return to the Theory of Harmonic Functions, pg. 196*VIII. Differentiation of Functions, pg. 240*Appendices, pg. 271*Bibliography, pg. 279*Index, pg. 289

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