2004

Fourier Analysis and Approximation of Functions

Authors:

ISBN: 978-90-481-6641-1 (Print) 978-1-4020-2876-2 (Online)

Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiii

  2. No Access

    Book Chapter

    Pages 1-24

    Representation Theorems

  3. No Access

    Book Chapter

    Pages 25-66

    Fourier Series

  4. No Access

    Book Chapter

    Pages 67-104

    Fourier Integral

  5. No Access

    Book Chapter

    Pages 105-199

    Discretization. Direct and Inverse Theorems of Approximation Theory

  6. No Access

    Book Chapter

    Pages 201-254

    Extremal Problems of Approximation Theory

  7. No Access

    Book Chapter

    Pages 255-308

    Representability of a Function as the Fourier Transform of a Measure

  8. No Access

    Book Chapter

    Pages 309-348

    Fourier Multipliers

  9. No Access

    Book Chapter

    Pages 349-391

    Methods of Summability of Fourier Series. Moduli of Smoothness and K-Functionals

  10. No Access

    Book Chapter

    Pages 393-428

    Lebesgue Constants and Approximation of Classes of Functions with Bounded Derivative by Polynomials

  11. No Access

    Book Chapter

    Pages 429-476

    Widths. Approximation by Trigonometric Polynomials with Free Spectrum

  12. No Access

    Book Chapter

    Pages 477-510

    Classes of Functions with Bounded Mixed Derivative

  13. Back Matter

    Pages 511-585