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Volumn 29, Issue 9-10, 2008, Pages 1082-1107

Approximation by positive definite functions on compact groups

Author keywords

Positive definite functions; Rotation group; Scattered data approximation

Indexed keywords

COMPUTATIONAL GEOMETRY; ERROR ANALYSIS; POLYNOMIAL APPROXIMATION; POWDERS; ROTATION; TURBULENT FLOW;

EID: 52149096122     PISSN: 01630563     EISSN: 15322467     Source Type: Journal    
DOI: 10.1080/01630560802484310     Document Type: Article
Times cited : (10)

References (18)
  • 1
    • 33646824900 scopus 로고    scopus 로고
    • Strictly positive definite functions on a compact group
    • M. Allali and T. Przebinda (2000). Strictly positive definite functions on a compact group. Proc. Am. Math. Soc. 129(5):1459-1462.
    • (2000) Proc. Am. Math. Soc , vol.129 , Issue.5 , pp. 1459-1462
    • Allali, M.1    Przebinda, T.2
  • 2
    • 33748957908 scopus 로고    scopus 로고
    • Kernel-based methods for inversion of the Radon transform on SO(3) and their applications to texture analysis
    • K.G. van den Boogaart, R. Hielscher, J. Prestin, and H. Schaeben (2007). Kernel-based methods for inversion of the Radon transform on SO(3) and their applications to texture analysis. J. Comp. Appl. Math. 199(1):122-140.
    • (2007) J. Comp. Appl. Math , vol.199 , Issue.1 , pp. 122-140
    • van den Boogaart, K.G.1    Hielscher, R.2    Prestin, J.3    Schaeben, H.4
  • 3
    • 0033442485 scopus 로고    scopus 로고
    • Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration
    • R.K. Beatson, J.B. Cherrie, and C.T. Mouat (1999). Fast fitting of radial basis functions: methods based on preconditioned GMRES iteration. Adv. Comput. Math. 11:253-270.
    • (1999) Adv. Comput. Math , vol.11 , pp. 253-270
    • Beatson, R.K.1    Cherrie, J.B.2    Mouat, C.T.3
  • 4
    • 17844393160 scopus 로고    scopus 로고
    • Radial basis functions and corresponding zonal series expansions on the sphere
    • W. zu Castell and F. Filbir (2005). Radial basis functions and corresponding zonal series expansions on the sphere. J. Approx. Theory 134:65-79.
    • (2005) J. Approx. Theory , vol.134 , pp. 65-79
    • zu Castell, W.1    Filbir, F.2
  • 6
    • 49449096924 scopus 로고    scopus 로고
    • Stability results for approximation by positive definite functions on compact groups
    • F. Filbir and D. Schmid. (2008). Stability results for approximation by positive definite functions on compact groups. J. Approx. Theory 153:170-183.
    • (2008) J. Approx. Theory , vol.153 , pp. 170-183
    • Filbir, F.1    Schmid, D.2
  • 8
    • 0346188074 scopus 로고    scopus 로고
    • Interpolation by positive definite functions on locally compact groups with application to SO(3)
    • T. Gutzmer (1996). Interpolation by positive definite functions on locally compact groups with application to SO(3). Res. Math. 29:69-77.
    • (1996) Res. Math , vol.29 , pp. 69-77
    • Gutzmer, T.1
  • 10
    • 0040118904 scopus 로고    scopus 로고
    • Error estimates for scattered data interpolation on spheres
    • K. Jetter, J. Stöckler, and J.D. Ward (1999). Error estimates for scattered data interpolation on spheres. Mathematics of Computation 68(226):733-747.
    • (1999) Mathematics of Computation , vol.68 , Issue.226 , pp. 733-747
    • Jetter, K.1    Stöckler, J.2    Ward, J.D.3
  • 11
    • 0346487347 scopus 로고    scopus 로고
    • The density of translates of zonal kernels on compact homogeneous spaces
    • J. Levesley and D.L. Ragozin (2000). The density of translates of zonal kernels on compact homogeneous spaces. J. Approx. Theory 103:252-268.
    • (2000) J. Approx. Theory , vol.103 , pp. 252-268
    • Levesley, J.1    Ragozin, D.L.2
  • 12
    • 0001134183 scopus 로고
    • Generalized hermite interpolation and positive definite kernels on a Riemannian manifold
    • F.J. Narcowich (1995). Generalized hermite interpolation and positive definite kernels on a Riemannian manifold. J. Math. Anal. Appl. 199:165-194.
    • (1995) J. Math. Anal. Appl , vol.199 , pp. 165-194
    • Narcowich, F.J.1
  • 14
    • 56349160582 scopus 로고    scopus 로고
    • R. Schaback (1999). Native Hilbert spaces for radial basis functions I. In: New Developments in Approximation Theory (M.W. Müller et al., eds.), 2nd International Dortmund Meeting (IDoMAT '98). 132. Int. Ser. Numer. Math. Birkhäuser Verlag, Basel, pp. 255-282.
    • R. Schaback (1999). Native Hilbert spaces for radial basis functions I. In: New Developments in Approximation Theory (M.W. Müller et al., eds.), 2nd International Dortmund Meeting (IDoMAT '98). Vol. 132. Int. Ser. Numer. Math. Birkhäuser Verlag, Basel, pp. 255-282.
  • 15
    • 51249166702 scopus 로고
    • Error estimates and condition numbers for radial basis function interpolation
    • R. Schaback (1995). Error estimates and condition numbers for radial basis function interpolation. Adv. Comput. Math. 3:251-264.
    • (1995) Adv. Comput. Math , vol.3 , pp. 251-264
    • Schaback, R.1
  • 16
    • 56349100593 scopus 로고    scopus 로고
    • D. Schmid (2008). A trade-off principle in connection with the approximation by positive definite kernels. In: Approximation Theory 12: San Antonio 2007 (M. Neamtu, L.L. Schumaker, eds.), Nashboro Press, Brentwood, pp. 348-359.
    • D. Schmid (2008). A trade-off principle in connection with the approximation by positive definite kernels. In: Approximation Theory 12: San Antonio 2007 (M. Neamtu, L.L. Schumaker, eds.), Nashboro Press, Brentwood, pp. 348-359.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.