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  1. Article

    Open Access

    Hyperbolic Wavelet Analysis of Classical Isotropic and Anisotropic Besov–Sobolev Spaces

    In this paper we introduce new function spaces which we call anisotropic hyperbolic Besov and Triebel-Lizorkin spaces. Their definition is based on a hyperbolic Littlewood-Paley analysis involving an anisotrop...

    Martin Schäfer, Tino Ullrich… in Journal of Fourier Analysis and Applications (2021)

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    Article

    Wavelet Bases for Confinements of the Infrared Divergence

    We propose the construction of wavelet bases with pseudo-polynomials adapted to the homogeneous Sobolev spaces $\dot{H}^{s}(\mathbb{R...

    Béatrice Vedel in Journal of Fourier Analysis and Applications (2009)