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Volumn 33, Issue 3, 2004, Pages 548-572

Variational splines on Riemannian manifolds with applications to integral geometry

Author keywords

Hemispherical transform; Laplace Beltrami operator; Riemannian manifold; Spherical Radon transform; Variational splines

Indexed keywords


EID: 4344653605     PISSN: 01968858     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aam.2003.10.003     Document Type: Article
Times cited : (18)

References (16)
  • 1
    • 0000273884 scopus 로고
    • Computing Fourier transforms and convolutions on the 2-sphere
    • Driscoll J.R. Healy D.M. Computing Fourier transforms and convolutions on the 2-sphere Adv. in Appl. Math. 15 1994 202-250
    • (1994) Adv. in Appl. Math. , vol.15 , pp. 202-250
    • Driscoll, J.R.1    Healy, D.M.2
  • 2
    • 0001935440 scopus 로고
    • Splines minimizing rotation-invariant seminorms in Sobolev spaces
    • W. Schempp, & K. Zeller (Eds.), New York/Berlin: Springer-Verlag
    • Duchon J. Splines minimizing rotation-invariant seminorms in Sobolev spaces in: Schempp W. Zeller K. (Eds.) Constructive Theory of Functions of Several Variables 1977 85-100 Springer-Verlag New York/Berlin
    • (1977) Constructive Theory of Functions of Several Variables , pp. 85-100
    • Duchon, J.1
  • 3
    • 0033239782 scopus 로고    scopus 로고
    • Variational principles and Sobolev-type estimates for generalized interpolation on a Riemannian manifold
    • Dyn N. Narcovich F.J. Ward J.D. Variational principles and Sobolev-type estimates for generalized interpolation on a Riemannian manifold Constr. Approx. 15 1999 175-208
    • (1999) Constr. Approx. , vol.15 , pp. 175-208
    • Dyn, N.1    Narcovich, F.J.2    Ward, J.D.3
  • 4
    • 0003601390 scopus 로고    scopus 로고
    • Constructive Approximation on the Spheres. With Applications to Geomathematics
    • New York: Clarendon Press, Oxford University Press
    • Freeden W. Gervens T. Schreiner M. Constructive Approximation on the Spheres. With Applications to Geomathematics Numer. Math. Sci. Comput. 1998 Clarendon Press, Oxford University Press New York
    • (1998) Numer. Math. Sci. Comput.
    • Freeden, W.1    Gervens, T.2    Schreiner, M.3
  • 5
    • 4344692743 scopus 로고
    • On the convergence of interpolating periodic spline functions of high degree
    • Golitschek M. On the convergence of interpolating periodic spline functions of high degree Numer. Math. 19 1972 146-154
    • (1972) Numer. Math. , vol.19 , pp. 146-154
    • Golitschek, M.1
  • 6
    • 0003037370 scopus 로고
    • Optimal approximation and error bounds
    • R. E. Langer (Ed.), : Madison
    • Golomb M. Weinberger H.F. Optimal approximation and error bounds in: Langer R.E. (Ed.) On Numerical Approximation 1959 117-190 Madison
    • (1959) On Numerical Approximation , pp. 117-190
    • Golomb, M.1    Weinberger, H.F.2
  • 8
    • 0345852538 scopus 로고
    • Lagrangian splines, spectral entire functions and Shannon-Whittaker theorem on manifolds
    • I. Pesenson, Lagrangian splines, spectral entire functions and Shannon-Whittaker theorem on manifolds, Temple University Research Report 95-87, 1995, 1-28
    • (1995) Temple University Research Report 95-87 , pp. 1-28
    • Pesenson, I.1
  • 9
    • 23044519949 scopus 로고    scopus 로고
    • A sampling theorem on homogeneous manifolds
    • Pesenson I. A sampling theorem on homogeneous manifolds Trans. Amer. Math. Soc. 9 2000 4257-4269
    • (2000) Trans. Amer. Math. Soc. , vol.9 , pp. 4257-4269
    • Pesenson, I.1
  • 10
    • 0035616727 scopus 로고    scopus 로고
    • Sampling of band-limited vectors
    • Pesenson I. Sampling of band-limited vectors J. Fourier Anal. Appl. 7 1 2001 93-100
    • (2001) J. Fourier Anal. Appl. , vol.7 , Issue.1 , pp. 93-100
    • Pesenson, I.1
  • 11
    • 4344642968 scopus 로고    scopus 로고
    • Invertion of the spherical Radon transform by a Poisson type formula
    • Pesenson I. Grinberg E. Invertion of the spherical Radon transform by a Poisson type formula Contemp. Math. 278 2001 137-147
    • (2001) Contemp. Math. , vol.278 , pp. 137-147
    • Pesenson, I.1    Grinberg, E.2
  • 13
    • 0001878701 scopus 로고
    • Positive definite functions on spheres
    • Schoenberg I.J. Positive definite functions on spheres Duke Math. J. 9 1942 96-108
    • (1942) Duke Math. J. , vol.9 , pp. 96-108
    • Schoenberg, I.J.1
  • 14
    • 0008350889 scopus 로고
    • Notes on spline functions, I: The limits of the interpolating periodic spline functions as their degree tends to infinity
    • Schoenberg I.J. Notes on spline functions, I: The limits of the interpolating periodic spline functions as their degree tends to infinity Indag. Math. 34 1972 412-422
    • (1972) Indag. Math. , vol.34 , pp. 412-422
    • Schoenberg, I.J.1
  • 15
    • 0033478676 scopus 로고    scopus 로고
    • Inversion and characterization of the hemispherical transform
    • Rubin B. Inversion and characterization of the hemispherical transform J. Anal. Math. 77 1999 105-127
    • (1999) J. Anal. Math. , vol.77 , pp. 105-127
    • Rubin, B.1
  • 16
    • 0001388356 scopus 로고
    • Surface fitting with scattered noisy data on Euclidean d-space and on the sphere
    • Wahba G. Surface fitting with scattered noisy data on Euclidean d-space and on the sphere Rocky Mountain J. Math. 14 1984 281-299
    • (1984) Rocky Mountain J. Math. , vol.14 , pp. 281-299
    • Wahba, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.