메뉴 건너뛰기




Volumn 58, Issue 11, 2005, Pages 1472-1528

The curvelet representation of wave propagators is optimally sparse

Author keywords

[No Author keywords available]

Indexed keywords


EID: 27744468800     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/cpa.20078     Document Type: Article
Times cited : (277)

References (30)
  • 1
    • 84990610636 scopus 로고
    • Fast wavelet transforms and numerical algorithms
    • Beylkin, G; Coifman, R.; Rokhlin, V. Fast wavelet transforms and numerical algorithms. Comm. Pure Appl. Math. 44 (1991), no. 2, 141-183.
    • (1991) Comm. Pure Appl. Math. , vol.44 , Issue.2 , pp. 141-183
    • Beylkin, G.1    Coifman, R.2    Rokhlin, V.3
  • 2
    • 0001184615 scopus 로고    scopus 로고
    • Harmonic analysis of neural networks
    • Candès, E. J. Harmonic analysis of neural networks. Appl. Comput. Harmon. Anal. 6 (1999), 197-218.
    • (1999) Appl. Comput. Harmon. Anal. , vol.6 , pp. 197-218
    • Candès, E.J.1
  • 3
    • 0037834662 scopus 로고    scopus 로고
    • Curvelets and Fourier integral operators
    • Candès, E. J.; Demanet, L. Curvelets and Fourier integral operators. C. R. Acad. Sci. Paris, Ser. I 336 (2003), no. 5, 395-398.
    • (2003) C. R. Acad. Sci. Paris, Ser. I , vol.336 , Issue.5 , pp. 395-398
    • Candès, E.J.1    Demanet, L.2
  • 5
    • 0003387306 scopus 로고    scopus 로고
    • Curvelets: A surprisingly effective nonadaptive representation for objects with edges
    • C. Rabut, A. Cohen, L. Schumaker, eds. Vanderbilt University Press, Nashville, Tenn.
    • Candès, E. J.; Donoho, D. L. Curvelets: a surprisingly effective nonadaptive representation for objects with edges. Curves and surface fitting, 105-120. C. Rabut, A. Cohen, L. Schumaker, eds. Vanderbilt University Press, Nashville, Tenn., 2000.
    • (2000) Curves and Surface Fitting , pp. 105-120
    • Candès, E.J.1    Donoho, D.L.2
  • 8
    • 24044495531 scopus 로고    scopus 로고
    • Continuous curvelet transform: I. Resolution of the wavefront set
    • to appear
    • Candès, E. J.; Donoho, D. L. Continuous curvelet transform: I. Resolution of the wavefront set. Appl. Comput. Harmon. Anal., to appear.
    • Appl. Comput. Harmon. Anal.
    • Candès, E.J.1    Donoho, D.L.2
  • 9
    • 0036836408 scopus 로고    scopus 로고
    • New multiscale transforms, minimum total variation synthesis: Applications to edge-preserving image reconstruction
    • Candès, E. J.; Guo, F. New multiscale transforms, minimum total variation synthesis: applications to edge-preserving image reconstruction. Sig. Process. 82 (2002), 1519-1543.
    • (2002) Sig. Process. , vol.82 , pp. 1519-1543
    • Candès, E.J.1    Guo, F.2
  • 11
    • 0029307534 scopus 로고
    • De-noising by soft-thresholding
    • Donoho, D. L. De-noising by soft-thresholding. IEEE Trans. Inform. Theory 41 (1995), no. 3, 613-627.
    • (1995) IEEE Trans. Inform. Theory , vol.41 , Issue.3 , pp. 613-627
    • Donoho, D.L.1
  • 13
    • 0003431463 scopus 로고    scopus 로고
    • Progress in Mathematics. Birkhäuser, Boston
    • Duistermaat, J. Fourier integral operators. Progress in Mathematics, 130. Birkhäuser, Boston, 1996.
    • (1996) Fourier Integral Operators , pp. 130
    • Duistermaat, J.1
  • 14
    • 51249187555 scopus 로고
    • A note on spherical summation multipliers
    • Fefferman, C. A note on spherical summation multipliers. Israel J. Math. 15 (1973), 44-52.
    • (1973) Israel J. Math. , vol.15 , pp. 44-52
    • Fefferman, C.1
  • 15
    • 0003813189 scopus 로고
    • Annals of Mathematics Studies. Princeton University Press, Princeton, N.J.
    • Folland, G. B. Harmonic analysis in phase space. Annals of Mathematics Studies, 122. Princeton University Press, Princeton, N.J., 1989.
    • (1989) Harmonic Analysis in Phase Space , pp. 122
    • Folland, G.B.1
  • 16
    • 27744504550 scopus 로고
    • Conference Board of the Mathematical Sciences, Regional Conference Series in Mathematics, 79. American Mathematical Society, Providence, R.I.
    • Frazier, M.; Jawerth, B.; Weiss, G. Littlewood-Paley theory and the study of function spaces. Conference Board of the Mathematical Sciences, Regional Conference Series in Mathematics, 79. American Mathematical Society, Providence, R.I., 1991.
    • (1991) Littlewood-Paley Theory and the Study of Function Spaces
    • Frazier, M.1    Jawerth, B.2    Weiss, G.3
  • 18
    • 84972538741 scopus 로고
    • Asymptotic solutions of oscillatory initial value problems
    • Lax, P. Asymptotic solutions of oscillatory initial value problems. Duke Math J. 24 (1957), 627-646.
    • (1957) Duke Math J. , vol.24 , pp. 627-646
    • Lax, P.1
  • 22
    • 0001573795 scopus 로고
    • Regularity properties of Fourier integral operators
    • Seeger, A.; Sogge, C.; Stein, E. Regularity properties of Fourier integral operators. Ann. of Math. 134 (1991), no. 2, 231-251.
    • (1991) Ann. of Math. , vol.134 , Issue.2 , pp. 231-251
    • Seeger, A.1    Sogge, C.2    Stein, E.3
  • 23
    • 24044462556 scopus 로고    scopus 로고
    • A Hardy space for Fourier integral operators
    • Smith, H. A Hardy space for Fourier integral operators. J. Geom. Anal. 8 (1998), no. 4, 629-653.
    • (1998) J. Geom. Anal. , vol.8 , Issue.4 , pp. 629-653
    • Smith, H.1
  • 25
    • 0003620488 scopus 로고
    • Cambridge Tracts in Mathematics. Cambridge University Press
    • Sogge, C. Fourier integrals in classical analysis. Cambridge Tracts in Mathematics, 105. Cambridge University Press, 1993.
    • (1993) Fourier Integrals in Classical Analysis , pp. 105
    • Sogge, C.1
  • 27
    • 0036110253 scopus 로고    scopus 로고
    • Microlocal analysis of seismic inverse scattering in anisotropic elastic media
    • Stolk, C. C.; de Hoop, M. V. Microlocal analysis of seismic inverse scattering in anisotropic elastic media. Comm. Pure Appl. Math. 55 (2002), no. 3, 261-301.
    • (2002) Comm. Pure Appl. Math. , vol.55 , Issue.3 , pp. 261-301
    • Stolk, C.C.1    De Hoop, M.V.2
  • 28
    • 84980187990 scopus 로고
    • Reflection of singularities of solutions to systems of differential equations
    • Taylor, M. E. Reflection of singularities of solutions to systems of differential equations. Comm. Pure Appl. Math. 28 (1975), no. 4, 457-478.
    • (1975) Comm. Pure Appl. Math. , vol.28 , Issue.4 , pp. 457-478
    • Taylor, M.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.