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Volumn 6, Issue 5, 1996, Pages 649-664

Besov norms in terms of the continuous wavelet transform. Application to structure functions

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EID: 0030494969     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202596000262     Document Type: Article
Times cited : (43)

References (22)
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    • Babiano, A.1    Basdevant, C.2    Sadourny, R.3
  • 2
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    • E. Bacry, J. Muzy and A. Arneodo, Singularity spectrum of fractal signals from wavelet analysis: Exact results, J. Statist. Phys. 70 (1993).
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  • 10
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    • Decomposition of Hardy functions into square integrable wavelets of constant shape
    • A. Grossmann and J. Morlet, Decomposition of Hardy functions into square integrable wavelets of constant shape, SIAM J. Math. Anal. 15 (1984) 723-736.
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    • Grossmann, A.1    Morlet, J.2
  • 11
    • 0000635823 scopus 로고
    • Pointwise regularity of Riemann's "nowhere differentiable" function
    • M. Holschneider and P. Tchamitchian, Pointwise regularity of Riemann's "nowhere differentiable" function, Invent. Math. 105 (1991) 157-175.
    • (1991) Invent. Math. , vol.105 , pp. 157-175
    • Holschneider, M.1    Tchamitchian, P.2
  • 12
    • 0001832379 scopus 로고
    • Exposants de Ḧder en des points donnés et coefficients d'ondelettes
    • S. Jaffard, Exposants de Ḧder en des points donnés et coefficients d'ondelettes, C. R. Acad. Sci. Paris, Série I, 308 (1989) 79-81.
    • (1989) C. R. Acad. Sci. Paris, Série I , vol.308 , pp. 79-81
    • Jaffard, S.1
  • 15
    • 38249018093 scopus 로고
    • On the degree of nonlinear spline approximation in Besov-Sobolev spaces
    • P. Oswald, On the degree of nonlinear spline approximation in Besov-Sobolev spaces, J. Approx. Theory 61 (1990) 131-157.
    • (1990) J. Approx. Theory , vol.61 , pp. 131-157
    • Oswald, P.1
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  • 18
    • 3242767346 scopus 로고
    • The wavelet transform on Sobolev spaces and its approximation properties
    • A. Rieder, The wavelet transform on Sobolev spaces and its approximation properties, Numer. Math. 58 (1991).
    • (1991) Numer. Math. , vol.58
    • Rieder, A.1
  • 21
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    • Wavelet transforms of self-similar processes
    • M. Vergassola and U. Frisch, Wavelet transforms of self-similar processes, Phys. D 54 (1991) 58-64.
    • (1991) Phys. D , vol.54 , pp. 58-64
    • Vergassola, M.1    Frisch, U.2
  • 22
    • 84953751498 scopus 로고
    • Cambridge Univ. Press, 6th edition
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