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7 Result(s)

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  1. No Access

    Book

    New Trends in Applied Harmonic Analysis, Volume 2

    Harmonic Analysis, Geometric Measure Theory, and Applications

    Akram Aldroubi, Carlos Cabrelli… in Applied and Numerical Harmonic Analysis (2019)

  2. No Access

    Chapter and Conference Paper

    Wavelet Leaders in Multifractal Analysis

    The properties of several multifractal formalisms based on wavelet coefficients are compared from both mathematical and numerical points of view. When it is based directly on wavelet coefficients, the multifra...

    Stéphane Jaffard, Bruno Lashermes, Patrice Abry in Wavelet Analysis and Applications (2007)

  3. No Access

    Article

    Beyond Besov Spaces Part 1: Distributions of Wavelet Coefficients

    We determine which information can be extracted from the distributions of the wavelet coefficients of a function f at each scale, but does not depend on the particular wavelet basis which is chosen. This informat...

    Stéphane Jaffard in Journal of Fourier Analysis and Applications (2004)

  4. No Access

    Article

    On a theorem of Ingham

    We prove a trigonometric inequality of Ingham’s type for nonharmonic Fourier series when the gap condition between frequencies does not hold any more.

    Stéphane Jaffard, Marius Tucsnak… in Journal of Fourier Analysis and Applicatio… (1997)

  5. No Access

    Article

    Old friends revisited: the multifractal nature of some classical functions

    We study some explicit functions introduced by Riemann, Jordan, Lévy, Kahane… These functions share the property of having a dense set of discontinuities. We prove that they are examples of multifractal functi...

    Stéphane Jaffard in Journal of Fourier Analysis and Applications (1997)

  6. No Access

    Chapter

    Regularity analysis of functions and random processes using wavelets

    In the first part of the paper, we recall how the pointwise smoothness of functions can be studied using orthonormal bases of wavelets, and we give three applications: pointwise regularity of elliptic operator...

    Stéphane Jaffard in Wavelets and Their Applications (1994)

  7. No Access

    Chapter

    Wavelets and analysis of partial differential equations

    We describe the main properties of decompositions in orthonormal bases of wavelets. We then apply them to the theoretical and numerical study of some partial differential equations.

    Stéphane Jaffard in Probabilistic and Stochastic Methods in Analysis, with Applications (1992)