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Volumn 17, Issue 6, 2011, Pages 1232-1255

Shearlet Coorbit Spaces: Compactly Supported Analyzing Shearlets, Traces and Embeddings

Author keywords

Banach frames; Besov spaces; Compactly supported shearlets; Coorbit space theory; Embedding of function spaces; Square integrable group representations; Trace theorems

Indexed keywords


EID: 81255134212     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00041-011-9181-6     Document Type: Article
Times cited : (57)

References (21)
  • 1
    • 0003796630 scopus 로고
    • Now York: Academic Press
    • Adams, R. A.: Sobolev Spaces. Academic Press, Now York (1975).
    • (1975) Sobolev Spaces
    • Adams, R.A.1
  • 2
    • 0346727379 scopus 로고    scopus 로고
    • Ridgelets: a key to higher-dimensional intermittency?
    • Candes, E. J., Donoho, D. L.: Ridgelets: a key to higher-dimensional intermittency? Philos. Trans. R. Soc. Lond. 357, 2495-2509 (1999).
    • (1999) Philos. Trans. R. Soc. Lond. , vol.357 , pp. 2495-2509
    • Candes, E.J.1    Donoho, D.L.2
  • 3
    • 0003306887 scopus 로고    scopus 로고
    • Curvelets-a surprisingly effective nonadaptive representation for objects with edges
    • L. L. Schumaker (Ed.), Nashvill: Vanderbild University Press
    • Candes, E. J., Donoho, D. L.: Curvelets-a surprisingly effective nonadaptive representation for objects with edges. In: Schumaker, L. L., et al. (ed.) Curves and Surfaces, Vanderbild University Press, Nashvill (1999).
    • (1999) Curves and Surfaces
    • Candes, E.J.1    Donoho, D.L.2
  • 4
    • 33846995421 scopus 로고    scopus 로고
    • Frame decomposition of decomposition spaces
    • Borup, L., Nielsen, M.: Frame decomposition of decomposition spaces. J. Fourier Anal. Appl. 13(1), 39-70 (2007).
    • (2007) J. Fourier Anal. Appl. , vol.13 , Issue.1 , pp. 39-70
    • Borup, L.1    Nielsen, M.2
  • 7
    • 77952321190 scopus 로고    scopus 로고
    • The continuous shearlet transform in arbitrary space dimensions
    • Dahlke, S., Steidl, G., Teschke, G.: The continuous shearlet transform in arbitrary space dimensions. J. Fourier Anal. Appl. 16, 340-354 (2010).
    • (2010) J. Fourier Anal. Appl. , vol.16 , pp. 340-354
    • Dahlke, S.1    Steidl, G.2    Teschke, G.3
  • 9
    • 0002566774 scopus 로고
    • A unified approach to atomic decompositions via integrable group representations
    • Lund1986Lect. Notes Math
    • Feichtinger, H. G., Gröchenig, K.: A unified approach to atomic decompositions via integrable group representations. In: Proc. Conf. "Function Spaces and Applications", Lund, 1986. Lect. Notes Math., 1302, pp. 52-73 (1988).
    • (1988) Proc. Conf. "Function Spaces and Applications" , vol.1302 , pp. 52-73
    • Feichtinger, H.G.1    Gröchenig, K.2
  • 10
    • 0001242228 scopus 로고
    • Banach spaces related to integrable group representations and their atomic decomposition I
    • Feichtinger, H. G., Gröchenig, K.: Banach spaces related to integrable group representations and their atomic decomposition I. J. Funct. Anal. 86, 307-340 (1989).
    • (1989) J. Funct. Anal. , vol.86 , pp. 307-340
    • Feichtinger, H.G.1    Gröchenig, K.2
  • 11
    • 0001736922 scopus 로고
    • Banach spaces related to integrable group representations and their atomic decomposition II
    • Feichtinger, H. G., Gröchenig, K.: Banach spaces related to integrable group representations and their atomic decomposition II. Monatshefte Math. 108, 129-148 (1989).
    • (1989) Monatshefte Math. , vol.108 , pp. 129-148
    • Feichtinger, H.G.1    Gröchenig, K.2
  • 13
    • 0001281362 scopus 로고
    • Decomposition of Besov spaces
    • Frazier, M., Jawerth, B.: Decomposition of Besov spaces. Indiana Univ. Math. J. 34(4), 777-799 (1985).
    • (1985) Indiana Univ. Math. J. , vol.34 , Issue.4 , pp. 777-799
    • Frazier, M.1    Jawerth, B.2
  • 14
    • 30844456696 scopus 로고
    • Describing functions: atomic decompositions versus frames
    • Gröchenig, K.: Describing functions: atomic decompositions versus frames. Monatshefte Math. 112, 1-42 (1991).
    • (1991) Monatshefte Math. , vol.112 , pp. 1-42
    • Gröchenig, K.1
  • 15
    • 39149086932 scopus 로고    scopus 로고
    • Sparse multidimensional representation using anisotropic dilation and shear operators
    • Athens, GA2005, G. Chen and M. J. Lai (Eds.), Nashville: Nashboro Press
    • Guo, K., Kutyniok, G., Labate, D.: Sparse multidimensional representation using anisotropic dilation and shear operators. In: Chen, G., Lai, M. J. (eds.) Wavelets and Splines, Athens, GA, 2005, pp. 189-201. Nashboro Press, Nashville (2006).
    • (2006) Wavelets and Splines , pp. 189-201
    • Guo, K.1    Kutyniok, G.2    Labate, D.3
  • 16
    • 42349107841 scopus 로고    scopus 로고
    • An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation
    • Hedberg, L. I., Netrusov, Y.: An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation. Mem. Am. Math. Soc. 188, 1-97 (2007).
    • (2007) Mem. Am. Math. Soc. , vol.188 , pp. 1-97
    • Hedberg, L.I.1    Netrusov, Y.2
  • 18
    • 67650551586 scopus 로고    scopus 로고
    • Resolution of the wavefront set using continuous shearlets
    • Kutyniok, G., Labate, D.: Resolution of the wavefront set using continuous shearlets. Trans. Am. Math. Soc. 361, 2719-2754 (2009).
    • (2009) Trans. Am. Math. Soc. , vol.361 , pp. 2719-2754
    • Kutyniok, G.1    Labate, D.2
  • 19
    • 84858994167 scopus 로고    scopus 로고
    • Approximation Theory XIII (San Antonio, TX, 2010). Springer, Berlin, to appear)
    • Kutyniok, G., Lemvig, J., Lim, W.-Q.: Compactly supported shearlets. Approximation Theory XIII (San Antonio, TX, 2010). Springer, Berlin (2011, to appear).
    • (2011) Compactly supported shearlets
    • Kutyniok, G.1    Lemvig, J.2    Lim, W.-Q.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.