Functions, Spaces, and Expansions

Mathematical Tools in Physics and Engineering

Authors:

ISBN: 978-0-8176-4979-1 (Print) 978-0-8176-4980-7 (Online)

Table of contents (13 chapters)

  1. Front Matter

    Pages I-XIX

  2. No Access

    Chapter

    Pages 1-28

    Mathematical Background

  3. No Access

    Chapter

    Pages 29-46

    Normed Vector Spaces

  4. No Access

    Chapter

    Pages 47-59

    Banach Spaces

  5. No Access

    Chapter

    Pages 61-92

    Hilbert Spaces

  6. No Access

    Chapter

    Pages 93-116

    The L p -spaces

  7. No Access

    Chapter

    Pages 117-133

    The Hilbert Space L 2

  8. No Access

    Chapter

    Pages 135-157

    The Fourier Transform

  9. No Access

    Chapter

    Pages 159-180

    An Introduction to Wavelet Analysis

  10. No Access

    Chapter

    Pages 181-201

    A Closer Look at Multiresolution Analysis

  11. No Access

    Chapter

    Pages 203-214

    B-splines

  12. No Access

    Chapter

    Pages 215-237

    Special Functions

  13. No Access

    Chapter

    Pages 239-251

    Appendix A

  14. No Access

    Chapter

    Pages 253-256

    Appendix B

  15. Back Matter

    Pages 257-263