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Volumn 125, Issue 2, 1997, Pages 531-539

On a new condition for strictly positive definite functions on spheres

Author keywords

Positive definite functions; Spherical interpolation

Indexed keywords


EID: 21444439543     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-97-03634-4     Document Type: Article
Times cited : (25)

References (11)
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  • 3
    • 0003699170 scopus 로고    scopus 로고
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    • P.J. Davis, Interpolation and Approximation, Blaisdell Publishing Company, New York, Toronto, London, 1963 MR 28:393
    • Interpolation and Approximation , vol.1963
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  • 4
    • 0011006177 scopus 로고
    • Tensor Spherical Harmonics and Tensor Spherical Splines
    • W. Freeden, T. Gervens, M. Schreiner, Tensor Spherical Harmonics and Tensor Spherical Splines, Manuscr. Geod. 19 (1994), 70-100
    • (1994) Manuscr. Geod. , vol.19 , pp. 70-100
    • Freeden, W.1    Gervens, T.2    Schreiner, M.3
  • 5
    • 0001882625 scopus 로고
    • On the Degree of Convergence of Laplace Series
    • T. Gronwall, On the Degree of Convergence of Laplace Series, Trans. Amer. Math. Soc., 15 (1914), 1-30
    • (1914) Trans. Amer. Math. Soc. , vol.15 , pp. 1-30
    • Gronwall, T.1
  • 6
    • 33646980014 scopus 로고
    • Spherical Harmonies
    • Springer, Berlin, Heidelberg, New York, MR 33:7593
    • C. Müller, Spherical Harmonies, Lecture Notes in Mathematics, 17, Springer, Berlin, Heidelberg, New York, 1966 MR 33:7593
    • (1966) Lecture Notes in Mathematics , vol.17
    • Müller, C.1
  • 7
    • 0005338626 scopus 로고
    • Satellite Gradiometry
    • Mathematical and Numerical Techniques in Physical Geodesy (H. Sünkel, ed), Springer, Berlin, MR 88k:86004
    • R. Rummel, Satellite Gradiometry, Lecture Notes in Earth Sciences 7, Mathematical and Numerical Techniques in Physical Geodesy (H. Sünkel, ed), Springer, Berlin, 1986, 318-363 MR 88k:86004
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  • 8
    • 0001878701 scopus 로고
    • Positive Definite Functions on Spheres
    • MR 3:232c
    • I.J. Schoenberg, Positive Definite Functions on Spheres, Duke Math. J., 9 (1942), 96-108 MR 3:232c
    • (1942) Duke Math. J. , vol.9 , pp. 96-108
    • Schoenberg, I.J.1
  • 10
    • 11544346644 scopus 로고
    • Orthogonal Polynomials, 2nd ed
    • Amer. Math. Soc., Providence, RI, MR 21:5029
    • G. Szegö, Orthogonal Polynomials, 2nd ed., Amer. Math. Soc. Colloq. Publ., vol. 23, Amer. Math. Soc., Providence, RI, 1959 MR 21:5029
    • (1959) Amer. Math. Soc. Colloq. Publ. , vol.23
    • Szegö, G.1
  • 11
    • 84966231566 scopus 로고
    • Strictly Positive Definite Functions on Spheres
    • MR 93b:43005
    • Y. Xu and EAV. Cheney, Strictly Positive Definite Functions On Spheres, Proc. Amer. Math. Soc., 116 (1992), 977-981 MR 93b:43005
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    • Xu, Y.1    Cheney, E.A.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.