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Wavelet methods for pointwise regularity and local oscillations of functions


About this Title

Stéphane Jaffard and Yves Meyer

Publication: Memoirs of the American Mathematical Society
Publication Year 1996: Volume 123, Number 587
ISBNs: 978-0-8218-0475-9 (print); 978-1-4704-0172-6 (online)
DOI: http://dx.doi.org/10.1090/memo/0587
MathSciNet review: 1342019
MSC (1991): Primary 42A16; Secondary 26A16, 26A30, 26B35

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Table of Contents


Chapters

  • Introduction
  • I. Modulus of continuity and two-microlocalization
  • II. Singularities of functions in Sobolev spaces
  • III. Wavelets and lacunary trigonometric series
  • IV. Properties of chirp expansions
  • V. Trigonometric chirps
  • VI. Logarithmic chirps
  • VII. The Riemann series

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