Real Analysis: Measures, Integrals and Applications

Authors:

ISBN: 978-1-4471-5121-0 (Print) 978-1-4471-5122-7 (Online)

Table of contents (13 chapters)

  1. Front Matter

    Pages I-XIX

  2. No Access

    Book Chapter

    Pages 1-39

    Measure

  3. No Access

    Book Chapter

    Pages 41-93

    The Lebesgue Measure

  4. No Access

    Book Chapter

    Pages 95-119

    Measurable Functions

  5. No Access

    Book Chapter

    Pages 121-203

    The Integral

  6. No Access

    Book Chapter

    Pages 205-242

    The Product Measure

  7. No Access

    Book Chapter

    Pages 243-305

    Change of Variables in an Integral

  8. No Access

    Book Chapter

    Pages 307-393

    Integrals Dependent on a Parameter

  9. No Access

    Book Chapter

    Pages 395-506

    Surface Integrals

  10. No Access

    Book Chapter

    Pages 507-534

    Approximation and Convolution in the Spaces

  11. No Access

    Book Chapter

    Pages 535-638

    Fourier Series and the Fourier Transform

  12. No Access

    Book Chapter

    Pages 639-669

    Charges. The Radon–Nikodym Theorem

  13. No Access

    Book Chapter

    Pages 671-695

    Integral Representation of Linear Functionals

  14. No Access

    Book Chapter

    Pages 697-760

    Appendices

  15. Back Matter

    Pages 761-772