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Volumn 6, Issue 3, 2007, Pages 853-871

The complete orthogonal V-system and its applications

Author keywords

Complete orthogonal function system; Descriptor; Geometric energy; U system; V system; Wavelets

Indexed keywords


EID: 34547937720     PISSN: 15340392     EISSN: 15535258     Source Type: Journal    
DOI: 10.3934/cpaa.2007.6.853     Document Type: Conference Paper
Times cited : (70)

References (16)
  • 1
    • 84885592670 scopus 로고    scopus 로고
    • Zhanchuan Cai, Hui Ma, Wei Sun and Dongxu Qi, Analysis of Frequency Spectrum for Geometric Modeling in Digital Geometry, in Wavelet Analysis and Applications, Springer Book Series Applied and Numerical Harmonic Analysis, (2007), 525-542.
    • Zhanchuan Cai, Hui Ma, Wei Sun and Dongxu Qi, Analysis of Frequency Spectrum for Geometric Modeling in Digital Geometry, in "Wavelet Analysis and Applications," Springer Book Series "Applied and Numerical Harmonic Analysis," (2007), 525-542.
  • 2
    • 0033438951 scopus 로고    scopus 로고
    • Orthogonal polynomials and the construction of piecewise polynomial smooth wavelets
    • G.C. Donovan, J.S. Geronimo and D.P. Hardin, Orthogonal polynomials and the construction of piecewise polynomial smooth wavelets, SIAM J. Math. Anal., 30 (1999), 1029-1056.
    • (1999) SIAM J. Math. Anal , vol.30 , pp. 1029-1056
    • Donovan, G.C.1    Geronimo, J.S.2    Hardin, D.P.3
  • 3
    • 33745932500 scopus 로고
    • A Sequence of piecewise orthogonal polynomials
    • Yuyu Feng and Dongxu Qi, A Sequence of piecewise orthogonal polynomials, SIAM J. Math. Anal., 15 (1984), 834-844.
    • (1984) SIAM J. Math. Anal , vol.15 , pp. 834-844
    • Feng, Y.1    Qi, D.2
  • 4
    • 34250967631 scopus 로고
    • Zur theorie der orthogonalen funktionensysteme
    • A. Haar, Zur theorie der orthogonalen funktionensysteme, Math. Ann., 69 (1990), 331-371.
    • (1990) Math. Ann , vol.69 , pp. 331-371
    • Haar, A.1
  • 5
    • 5444236478 scopus 로고    scopus 로고
    • The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
    • N.E. Huang, Z. Shen, S.R. Long, M.C. Wu, H.H. Shih, Q. Sheng, N. Yen, C.C. Tung and H.H. Liu, The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis, Proc. R. Soc Land. A, 454 (1998), 903-995.
    • (1998) Proc. R. Soc Land. A , vol.454 , pp. 903-995
    • Huang, N.E.1    Shen, Z.2    Long, S.R.3    Wu, M.C.4    Shih, H.H.5    Sheng, Q.6    Yen, N.7    Tung, C.C.8    Liu, H.H.9
  • 8
    • 0028499152 scopus 로고
    • Using the matrix refinement equation for the construction of wavelets on invariant sets
    • Charles A. Micchelli and Yuesheng Xu, Using the matrix refinement equation for the construction of wavelets on invariant sets, Applied and Computational Harmonic Analysis, 1 (1994), 391-401.
    • (1994) Applied and Computational Harmonic Analysis , vol.1 , pp. 391-401
    • Micchelli, C.A.1    Xu, Y.2
  • 11
    • 34547957340 scopus 로고    scopus 로고
    • Dongxu Qi and Yuyu Feng, On the convergence of Fourier-U series, Journal of China University of Science and Technology (Special Issue of Mathematics), (1983), 7-17 (in Chinese).
    • Dongxu Qi and Yuyu Feng, On the convergence of Fourier-U series, Journal of China University of Science and Technology (Special Issue of Mathematics), (1983), 7-17 (in Chinese).
  • 12
    • 33745967064 scopus 로고
    • On the orthogonal complete system {U}, Acta
    • Universitatis Jilinensis, in Chinese
    • Dongxu Qi and Yuyu Feng, On the orthogonal complete system {U}, Acta. Scientiarum Natur. Universitatis Jilinensis, 2 (1984), 21-31 (in Chinese).
    • (1984) Scientiarum Natur , vol.2 , pp. 21-31
    • Dongxu, Q.1    Feng, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.