메뉴 건너뛰기




Volumn 27, Issue 2, 2008, Pages 121-148

Localized polynomial frames on the ball

Author keywords

Frames; Localized kernels; Needlets; Unit ball

Indexed keywords


EID: 34548539811     PISSN: 01764276     EISSN: 14320940     Source Type: Journal    
DOI: 10.1007/s00365-007-0678-9     Document Type: Article
Times cited : (67)

References (22)
  • 1
    • 34548534241 scopus 로고
    • A note on Farkas'lemma
    • J. BORWEIN (1983): A note on Farkas'lemma. Utilitas Math., 24:235-241.
    • (1983) Utilitas Math , vol.24 , pp. 235-241
    • BORWEIN, J.1
  • 2
    • 34548542620 scopus 로고    scopus 로고
    • L. BOS, N. LEVENBERG, S. WALDRON (2004): Metrics associated to multivariate polynomial inequalities. In: Advances in Constructive Approximation (Vanderbilt 2003), pp. 133-147. Brentwood, TN: Nashboro Press.
    • L. BOS, N. LEVENBERG, S. WALDRON (2004): Metrics associated to multivariate polynomial inequalities. In: Advances in Constructive Approximation (Vanderbilt 2003), pp. 133-147. Brentwood, TN: Nashboro Press.
  • 3
    • 13644283759 scopus 로고    scopus 로고
    • Approximation of smooth functions on compact two-point homogeneous spaces
    • G. BROWN, F. DAI (2005): Approximation of smooth functions on compact two-point homogeneous spaces. J. Funct. Anal., 220(2):401-423.
    • (2005) J. Funct. Anal , vol.220 , Issue.2 , pp. 401-423
    • BROWN, G.1    DAI, F.2
  • 4
    • 34548526551 scopus 로고    scopus 로고
    • C. F. DUNKL, YUAN XU (2001): Orthogonal Polynomials of Several Variables. Cambridge: Cambridge University Press.
    • C. F. DUNKL, YUAN XU (2001): Orthogonal Polynomials of Several Variables. Cambridge: Cambridge University Press.
  • 5
    • 33646750621 scopus 로고    scopus 로고
    • Triebel-Lizorkin spaces associated with Laguerre and Hernite expansions
    • J. DZIUBAŃSKI (1997): Triebel-Lizorkin spaces associated with Laguerre and Hernite expansions. Proc. Amer. Math. Soc., 125:3547-3554.
    • (1997) Proc. Amer. Math. Soc , vol.125 , pp. 3547-3554
    • DZIUBAŃSKI, J.1
  • 6
    • 34548522095 scopus 로고    scopus 로고
    • M. FRAZIER, B. JAWERTH, G. WEISS (1991): Littlewood-Paley Theory and the Study of Function Spaces. CBMS, No. 79. Providence, RI: Amer. Math. Soc.
    • M. FRAZIER, B. JAWERTH, G. WEISS (1991): Littlewood-Paley Theory and the Study of Function Spaces. CBMS, No. 79. Providence, RI: Amer. Math. Soc.
  • 7
    • 33646945324 scopus 로고
    • The spectral function of an elliptic operator
    • L. HÖRMANDER (1968): The spectral function of an elliptic operator. Acta Math.., 121:193-218.
    • (1968) Acta Math , vol.121 , pp. 193-218
    • HÖRMANDER, L.1
  • 11
    • 10944228037 scopus 로고    scopus 로고
    • Polynomial operators and local smoothness classes on the unit interval
    • H. MHASKAR (2004): Polynomial operators and local smoothness classes on the unit interval. J. Approx. Theory, 131:243-267.
    • (2004) J. Approx. Theory , vol.131 , pp. 243-267
    • MHASKAR, H.1
  • 12
    • 0035608775 scopus 로고    scopus 로고
    • Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature
    • H. MHASKAR, F. NARCOWICH, J. WARD (2001): Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature. Math. Comp., 70:1113-1130.
    • (2001) Math. Comp , vol.70 , pp. 1113-1130
    • MHASKAR, H.1    NARCOWICH, F.2    WARD, J.3
  • 14
    • 34548536433 scopus 로고    scopus 로고
    • I. P. MYSOVSKIKH (1981): Interpolatory Cubature Formulas. In Russian. Moscow: Nauka.
    • I. P. MYSOVSKIKH (1981): Interpolatory Cubature Formulas. In Russian. Moscow: Nauka.
  • 16
    • 33746265509 scopus 로고    scopus 로고
    • Decomposition of Besov and Triebel-Lizorkin spaces on the sphere
    • F. NARCOWICH, J. WARD, P. PETRUSHEV (2006): Decomposition of Besov and Triebel-Lizorkin spaces on the sphere. J. Funct. Anal., 238:530-564.
    • (2006) J. Funct. Anal , vol.238 , pp. 530-564
    • NARCOWICH, F.1    WARD, J.2    PETRUSHEV, P.3
  • 17
    • 27644443778 scopus 로고    scopus 로고
    • P. PETRUSHEV, YUAN XU (2005): Localized polynomial frames on the interval with Jacobi weights. J. Fourier Anal. Appl., 5:557-575.
    • P. PETRUSHEV, YUAN XU (2005): Localized polynomial frames on the interval with Jacobi weights. J. Fourier Anal. Appl., 5:557-575.
  • 19
    • 34548542188 scopus 로고    scopus 로고
    • G. SZEGO″ (1975): Orthogonal Polynomials, 4th ed. Amer. Math. Soc. Colloq. Publ., 23. Providence, RI: Amer. Math. Soc.
    • G. SZEGO″ (1975): Orthogonal Polynomials, 4th ed. Amer. Math. Soc. Colloq. Publ., Vol. 23. Providence, RI: Amer. Math. Soc.
  • 20
    • 0032386932 scopus 로고    scopus 로고
    • YUAN XU (1998): Orthogonal polynomials and cubature formulae on spheres and on balls. SIAM J. Math. Anal., 29:779-793.
    • YUAN XU (1998): Orthogonal polynomials and cubature formulae on spheres and on balls. SIAM J. Math. Anal., 29:779-793.
  • 21
    • 0000663047 scopus 로고    scopus 로고
    • Trans, Math. Soc, 351:2439-2458
    • d. Trans. Amer. Math. Soc., 351:2439-2458.
    • (1999) d
    • YUAN, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.