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Measure and Integration

  • Hari Bercovici
  • Arlen Brown
  • Carl Pearcy

Table of contents

  1. Front Matter
    Pages i-xi
  2. Hari Bercovici, Arlen Brown, Carl Pearcy
    Pages 1-18
  3. Hari Bercovici, Arlen Brown, Carl Pearcy
    Pages 19-42
  4. Hari Bercovici, Arlen Brown, Carl Pearcy
    Pages 43-73
  5. Hari Bercovici, Arlen Brown, Carl Pearcy
    Pages 75-104
  6. Hari Bercovici, Arlen Brown, Carl Pearcy
    Pages 105-132
  7. Hari Bercovici, Arlen Brown, Carl Pearcy
    Pages 133-165
  8. Hari Bercovici, Arlen Brown, Carl Pearcy
    Pages 167-182
  9. Hari Bercovici, Arlen Brown, Carl Pearcy
    Pages 183-201
  10. Hari Bercovici, Arlen Brown, Carl Pearcy
    Pages 203-239
  11. Hari Bercovici, Arlen Brown, Carl Pearcy
    Pages 241-263
  12. Hari Bercovici, Arlen Brown, Carl Pearcy
    Pages 265-284
  13. Back Matter
    Pages 285-300

About this book

Introduction

This book covers the material of a one year course in real analysis.  It includes an original axiomatic approach to Lebesgue integration which the authors have found to be effective in the classroom.  Each chapter contains numerous examples and an extensive problem set which expands considerably the breadth of the material covered in the text.  Hints are included for some of the more difficult problems.                            ​

Keywords

Borel set Fourier transform Lebesgue integral Analytic set Measure space Measure theory Fourier analysis Fourier series Standard measure space Maximal function Functional algebra

Authors and affiliations

  • Hari Bercovici
    • 1
  • Arlen Brown
    • 2
  • Carl Pearcy
    • 3
  1. 1.Department of MathematicsIndiana UniversityBloomingtonUSA
  2. 2.Department of MathematicsIndiana UniversityBloomingtonUSA
  3. 3.Department of MathematicsTexas A&M UniversityCollege StationUSA

Bibliographic information