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Volumn 57, Issue 2, 1997, Pages 518-540

Nonlinear approximation of random functions

Author keywords

Fourier series; Image compression; Nonlinear approximation; Stochastic process; Wavelet bases

Indexed keywords

APPROXIMATION THEORY; FOURIER TRANSFORMS; FUNCTIONS; IMAGE COMPRESSION; MATHEMATICAL MODELS; VECTORS; WAVELET TRANSFORMS;

EID: 0031117613     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139994279153     Document Type: Article
Times cited : (44)

References (20)
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    • to appear
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  • 2
    • 84957129283 scopus 로고
    • Estimates of singular values of integral operators
    • M. S. BIRMAN AND M. Z. SOLOMYAK (1977), Estimates of singular values of integral operators, Uspekhi Mat. Nauk., 32, pp. 15-89 (translated in Russian Math. Surveys 32, (1977), pp. 17-84).
    • (1977) Uspekhi Mat. Nauk. , vol.32 , pp. 15-89
    • Birman, M.S.1    Solomyak, M.Z.2
  • 3
    • 84957129283 scopus 로고
    • M. S. BIRMAN AND M. Z. SOLOMYAK (1977), Estimates of singular values of integral operators, Uspekhi Mat. Nauk., 32, pp. 15-89 (translated in Russian Math. Surveys 32, (1977), pp. 17-84).
    • (1977) Russian Math. Surveys , vol.32 , pp. 17-84
  • 10
    • 0001220724 scopus 로고
    • Compression of wavelet decompositions
    • R. DEVORE, B. JAWERTH, AND V. A. POPOV (1992), Compression of wavelet decompositions, Amer. J. Math., 114, pp. 737-785.
    • (1992) Amer. J. Math. , vol.114 , pp. 737-785
    • Devore, R.1    Jawerth, B.2    Popov, V.A.3
  • 12
    • 0027007487 scopus 로고
    • Improved predictability of two-dimensional turbulent flows using wavelet packet compression
    • M. FARGE, E. GOIRAND, Y. MEYER, F. PASCAL, AND V. WICKERHAUSER (1992), Improved predictability of two-dimensional turbulent flows using wavelet packet compression, Fluid Dynamics Research 10, pp. 229-250.
    • (1992) Fluid Dynamics Research , vol.10 , pp. 229-250
    • Farge, M.1    Goirand, E.2    Meyer, Y.3    Pascal, F.4    Wickerhauser, V.5
  • 14
    • 0000282987 scopus 로고
    • Maximum properties and inequalities for the eigenvalues of completely continuous operators
    • KY FAN (1951), Maximum properties and inequalities for the eigenvalues of completely continuous operators, Proc. Nat. Acad. Sci. USA, 37, pp. 760-766.
    • (1951) Proc. Nat. Acad. Sci. USA , vol.37 , pp. 760-766
    • Fan, K.Y.1
  • 16
    • 0024700097 scopus 로고
    • A theory for multiresolution signal decomposition: The wavelet representation
    • S. MALLAT (1989), A theory for multiresolution signal decomposition: The wavelet representation, IEEE Trans. on Pattern Analysis and Machine Intelligence, PAMI-11, pp. 674-693.
    • (1989) IEEE Trans. on Pattern Analysis and Machine Intelligence , vol.PAMI-11 , pp. 674-693
    • Mallat, S.1
  • 17
    • 3943101643 scopus 로고
    • Nonlinear adaptive time-frequency decomposition
    • Y. Meyer and S. Roques, eds, Frontières, Paris
    • S. MALLAT AND Z. ZHANG (1993), Nonlinear adaptive time-frequency decomposition, in Progress in Wavelet Analysis and Applications, Y. Meyer and S. Roques, eds, Frontières, Paris.
    • (1993) Progress in Wavelet Analysis and Applications
    • Mallat, S.1    Zhang, Z.2
  • 19
    • 38249018093 scopus 로고
    • On the degree of nonlinear spline approximation in Besov-Sobolev spaces
    • P. OSWALD (1990), On the degree of nonlinear spline approximation in Besov-Sobolev spaces, J. Approx. Theory, 61, pp. 131-157.
    • (1990) J. Approx. Theory , vol.61 , pp. 131-157
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  • 20
    • 0027798110 scopus 로고
    • Embedded image coding using zerotrees of wavelet coefficients
    • J. SHAPIRO (1993), Embedded image coding using zerotrees of wavelet coefficients, IEEE Transactions on Signal Processing, SP-41, pp. 3445-3462.
    • (1993) IEEE Transactions on Signal Processing , vol.SP-41 , pp. 3445-3462
    • Shapiro, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.