MATH 472/572



Harmonic Analysis: from Fourier to Haar

  • Introduction and Chapter 1. Fourier Series: some motivation (dvi file).

  • Chapter 2. Interlude (dvi file) .

  • Chapter 3. Pointwise convergence of Fourier series (dvi file).

  • Chapter 4. Summability methods: Dirichlet and Fej\'er kernels (dvi file).

  • Chapter 5. Mean-square convergence of Fourier series (dvi file).

  • Chapter 6. A whirlwind tour of discrete Fourier and Haar analysis (dvi file).

  • Chapter 7. The Fourier transform in paradise (dvi file).

  • Chapter 8. Beyond paradise (dvi file).

  • Chapter 9. From Fourier to Haar (dvi file).

  • Bibliography.


    • Cristina Pereyra
    Office: 459 Humanities
    E-mail: crisp@math.unm.edu
    Phone: (505)277-4147

    University of New Mexico
    Mathematics at UNM
    Last updated September 20, 2007