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Volumn 33, Issue 2, 2001, Pages 347-368

Ridgelets and the representation of mutilated Sobolev functions

Author keywords

Fourier transform; Nonlinear approximation; Orthonormal ridgelets; Ridgelets; Singularities; Sobolev spaces; Sparsity

Indexed keywords


EID: 0036045780     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S003614109936364X     Document Type: Article
Times cited : (40)

References (15)
  • 1
  • 2
    • 0003360898 scopus 로고
    • Interpolation Spaces. An Introduction
    • Springer-Verlag, Berlin, New York
    • J. BERGH AND J. LÖFSTRÖM, Interpolation Spaces. An Introduction, Grundlehren Math. Wiss. 223, Springer-Verlag, Berlin, New York, 1976.
    • (1976) Grundlehren Math. Wiss. , vol.223
    • Bergh, J.1    Löfström, J.2
  • 3
    • 0004089243 scopus 로고    scopus 로고
    • Ph.D. thesis, Department of Statistics, Stanford University, Stanford, CA
    • E. J. CANDES, Ridgelets: Theory and Applications, Ph.D. thesis, Department of Statistics, Stanford University, Stanford, CA, 1998.
    • (1998) Ridgelets: Theory and Applications
    • Candes, E.J.1
  • 4
    • 0001184615 scopus 로고    scopus 로고
    • Harmonic analysis of neural netwoks
    • E. J. CANDES, Harmonic analysis of neural netwoks, Appl. Comput. Harmon. Anal., 6 (1999), pp. 197-218.
    • (1999) Appl. Comput. Harmon. Anal. , vol.6 , pp. 197-218
    • Candes, E.J.1
  • 6
    • 0003306887 scopus 로고    scopus 로고
    • Curvelets - A surprisingly effective nonadaptive representation for objects with edges
    • A. Cohen, C. Rabut, and L. L. Schumaker, eds., Vanderbilt University Press, Nashville, TN
    • E. J. CANDÈS AND D. L. DONOHO, Curvelets - a surprisingly effective nonadaptive representation for objects with edges, in Curves and Surfaces, A. Cohen, C. Rabut, and L. L. Schumaker, eds., Vanderbilt University Press, Nashville, TN, 1999.
    • (1999) Curves and Surfaces
    • Candès, E.J.1    Donoho, D.L.2
  • 7
    • 0346727379 scopus 로고    scopus 로고
    • Ridgelets: The key to higher-dimensional intermittency?
    • E. J. CANDES AND D. L. DONOHO, Ridgelets: The key to higher-dimensional intermittency?, Philos. Trans. Roy. Soc. London Ser. A., 357 (1999), pp. 2495-2509.
    • (1999) Philos. Trans. Roy. Soc. London Ser. A , vol.357 , pp. 2495-2509
    • Candes, E.J.1    Donoho, D.L.2
  • 8
    • 0027873602 scopus 로고
    • Unconditional bases are optimal bases for data compression and for statistical estimation
    • D. L. DONOHO, Unconditional bases are optimal bases for data compression and for statistical estimation, Appl. Comput. Harmon. Anal., 1 (1993), pp. 100-115.
    • (1993) Appl. Comput. Harmon. Anal. , vol.1 , pp. 100-115
    • Donoho, D.L.1
  • 9
    • 0000468364 scopus 로고    scopus 로고
    • Unconditional bases and bit-level compression
    • D. L. DONOHO, Unconditional bases and bit-level compression, Appl. Comput. Harmon. Anal., 3 (1996), pp. 388-392.
    • (1996) Appl. Comput. Harmon. Anal. , vol.3 , pp. 388-392
    • Donoho, D.L.1
  • 10
    • 0034345309 scopus 로고    scopus 로고
    • Orthonormal ridgelets and linear singularities
    • D. L. DONOHO, Orthonormal ridgelets and linear singularities, SIAM J. Math. Anal., 31 (2000), pp. 1062-1099.
    • (2000) SIAM J. Math. Anal. , vol.31 , pp. 1062-1099
    • Donoho, D.L.1
  • 13
    • 0004198869 scopus 로고
    • Cambridge University Press, Cambridge, UK
    • Y. MEYER, Wavelets and Operators, Cambridge University Press, Cambridge, UK, 1992.
    • (1992) Wavelets and Operators
    • Meyer, Y.1
  • 15
    • 0003216183 scopus 로고
    • Theory of Function Spaces. II
    • Birkhäuser-Verlag, Basel
    • H. TRIEBEL, Theory of Function Spaces. II, Monogr. Math. 84, Birkhäuser-Verlag, Basel, 1992.
    • (1992) Monogr. Math. , vol.84
    • Triebel, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.