MATH 472/572



Harmonic Analysis: from Fourier to Haar

  • Introduction
  • Chapter 1. Fourier Series: some motivation
  • Bibliography
    • ( dvi file to be saved and compiled), ( pdf file need acrobat reader and missing some pictures),
    ( ps file of Chapter 1 alone, missing one picture )

  • Chapter 2. Interlude
    ( pdf file, missing all but 2 pictures), ( ps file, hopefully missing only the first three pictures)

  • Appendix B
    ( pdf file, no pictures, and it has not been proofread in a long time)

  • Chapter 3. Pointwise convergence of Fourier series
    ( pdf file, missing pictures), ( ps file, hopefully not missing the two pictures)

  • Chapter 4. Summability methods: Dirichlet and Fejer kernels
    ( pdf file, missing all pictures), ( ps file, missing only one picture)

  • Chapter 5. Mean-square convergence of Fourier series
    ( ps file **updated 10/1/09**), ( pdf file).

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

  • Chapter 7. The Fourier transform in paradise
    ( ps file -revised 11/2/09 ), ( pdf file, missing one picture - revised 11/2/09).

  • Chapter 8. Beyond paradise
    ( ps file - revised 11/18/09),(pdf file - revised 11/18/09)

  • Chapter 9. From Fourier to Haar
    ( ps file, missing one picture ), ( pdf file, missing 5 or 6 pictures ).

  • Chapter 10. Zooming properties of wavelets and applications
    (ps file ), (pdf file )


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

    University of New Mexico
    Mathematics at UNM
    Last updated November 18, 2009