메뉴 건너뛰기




Volumn 22, Issue 2, 2007, Pages 217-234

Localization operator based on sampling multipliers

Author keywords

Error estimate; Hermite function; Localization operator; Meyer wavelet; Sampling multiplier

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FUNCTION EVALUATION; SAMPLING;

EID: 33846589978     PISSN: 10635203     EISSN: 1096603X     Source Type: Journal    
DOI: 10.1016/j.acha.2006.07.001     Document Type: Article
Times cited : (9)

References (24)
  • 1
  • 3
    • 3042531131 scopus 로고    scopus 로고
    • An introduction to sampling analysis
    • Marvasti F. (Ed), Kluwer Academic/Plenum Publishers, New York
    • Butzer P.L., Schmeisser G., and Stens R.L. An introduction to sampling analysis. In: Marvasti F. (Ed). Nonuniform Sampling: Theory and Practice (2001), Kluwer Academic/Plenum Publishers, New York 17-121
    • (2001) Nonuniform Sampling: Theory and Practice , pp. 17-121
    • Butzer, P.L.1    Schmeisser, G.2    Stens, R.L.3
  • 4
    • 0037383937 scopus 로고    scopus 로고
    • On the regularized Whittaker-Kotel'nikov-Shannon sampling formula
    • Qian L.W. On the regularized Whittaker-Kotel'nikov-Shannon sampling formula. Proc. Amer. Math. Soc. 131 4 (2003) 1169-1176
    • (2003) Proc. Amer. Math. Soc. , vol.131 , Issue.4 , pp. 1169-1176
    • Qian, L.W.1
  • 6
    • 0012804049 scopus 로고
    • A modification of the Whittaker-Kotel'nikov-Shannon sampling series
    • Butzer P.L., and Stens R.L. A modification of the Whittaker-Kotel'nikov-Shannon sampling series. Aequationes Math. 28 (1985) 305-311
    • (1985) Aequationes Math. , vol.28 , pp. 305-311
    • Butzer, P.L.1    Stens, R.L.2
  • 7
    • 33845529636 scopus 로고    scopus 로고
    • Localization of the general sampling series and its numerical application
    • Qian L.W., and Creamer D.B. Localization of the general sampling series and its numerical application. SIAM J. Numer. Anal. 43 6 (2006) 2500-2516
    • (2006) SIAM J. Numer. Anal. , vol.43 , Issue.6 , pp. 2500-2516
    • Qian, L.W.1    Creamer, D.B.2
  • 8
    • 33646595634 scopus 로고    scopus 로고
    • A modification of the sampling series with a Gaussian multiplier
    • Qian L.W., and Creamer D.B. A modification of the sampling series with a Gaussian multiplier. Sampl. Theory Signal Image Process. 5 1 (2006) 307-325
    • (2006) Sampl. Theory Signal Image Process. , vol.5 , Issue.1 , pp. 307-325
    • Qian, L.W.1    Creamer, D.B.2
  • 9
    • 33845548790 scopus 로고    scopus 로고
    • Modified sinc kernels for the localized sampling series
    • Qian L.W., and Ogawa H. Modified sinc kernels for the localized sampling series. Sampl. Theory Signal Image Process. 4 2 (2005) 121-139
    • (2005) Sampl. Theory Signal Image Process. , vol.4 , Issue.2 , pp. 121-139
    • Qian, L.W.1    Ogawa, H.2
  • 10
    • 0026624017 scopus 로고
    • A sampling theorem for wavelet subspaces
    • Walter G.G. A sampling theorem for wavelet subspaces. IEEE Trans. Inform. Theory 38 2 (1992) 881-884
    • (1992) IEEE Trans. Inform. Theory , vol.38 , Issue.2 , pp. 881-884
    • Walter, G.G.1
  • 11
    • 0000151183 scopus 로고
    • Truncation error of sampling-theorem expansions
    • Helms H.D., and Thomas J.B. Truncation error of sampling-theorem expansions. Proc. IRE 50 (1962) 179-184
    • (1962) Proc. IRE , vol.50 , pp. 179-184
    • Helms, H.D.1    Thomas, J.B.2
  • 12
    • 0000003735 scopus 로고
    • Bounds for truncation error of the sampling expansion
    • Jagerman D. Bounds for truncation error of the sampling expansion. SIAM J. Appl. Math. 14 (1966) 714-723
    • (1966) SIAM J. Appl. Math. , vol.14 , pp. 714-723
    • Jagerman, D.1
  • 15
    • 0036353811 scopus 로고    scopus 로고
    • Uncertainty principles in Hilbert spaces
    • Goh S.S., and Micchelli C.A. Uncertainty principles in Hilbert spaces. J. Fourier Anal. Appl. 8 (2002) 335-373
    • (2002) J. Fourier Anal. Appl. , vol.8 , pp. 335-373
    • Goh, S.S.1    Micchelli, C.A.2
  • 17
    • 0001169579 scopus 로고
    • On an analytic banded approximation for the discretized free propagator
    • Hoffman D.K., Nayar N., Sharafeddin O.A., and Kouri D.J. On an analytic banded approximation for the discretized free propagator. J. Phys. Chem. 95 (1991) 8299-8305
    • (1991) J. Phys. Chem. , vol.95 , pp. 8299-8305
    • Hoffman, D.K.1    Nayar, N.2    Sharafeddin, O.A.3    Kouri, D.J.4
  • 18
    • 0032562315 scopus 로고    scopus 로고
    • Shannon-Gabor wavelet distributed approximating functional
    • Hoffman D.K., Wei G.W., Zhang D.S., and Kouri D.J. Shannon-Gabor wavelet distributed approximating functional. Chem. Phys. Lett. 287 (1998) 119-124
    • (1998) Chem. Phys. Lett. , vol.287 , pp. 119-124
    • Hoffman, D.K.1    Wei, G.W.2    Zhang, D.S.3    Kouri, D.J.4
  • 19
    • 0007253565 scopus 로고    scopus 로고
    • Uniform approximation of functions with discrete approximation functionals
    • Chandler C., and Gibson A.G. Uniform approximation of functions with discrete approximation functionals. J. Approx. Theory 100 (1999) 233-250
    • (1999) J. Approx. Theory , vol.100 , pp. 233-250
    • Chandler, C.1    Gibson, A.G.2
  • 20
    • 0012234662 scopus 로고    scopus 로고
    • Truncation error on wavelet sampling expansions
    • Atreas N., and Karanikas C. Truncation error on wavelet sampling expansions. J. Comput. Anal. Appl. 2 1 (2000) 89-102
    • (2000) J. Comput. Anal. Appl. , vol.2 , Issue.1 , pp. 89-102
    • Atreas, N.1    Karanikas, C.2
  • 21
    • 16244405652 scopus 로고    scopus 로고
    • Hypercircle inequalities and sampling theory
    • García A.G., and Portal A. Hypercircle inequalities and sampling theory. Appl. Anal. 82 12 (2003) 1111-1125
    • (2003) Appl. Anal. , vol.82 , Issue.12 , pp. 1111-1125
    • García, A.G.1    Portal, A.2
  • 23
    • 0009218104 scopus 로고    scopus 로고
    • A quadrature formula based on sampling in Meyer wavelet subspaces
    • Shen X.P. A quadrature formula based on sampling in Meyer wavelet subspaces. J. Comput. Anal. Appl. 3 2 (2001) 147-163
    • (2001) J. Comput. Anal. Appl. , vol.3 , Issue.2 , pp. 147-163
    • Shen, X.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.