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Volumn 17, Issue 5, 2006, Pages 321-328

About the second term of the asymptotics for optimal Riesz energy on the sphere in the potential-theoretical case

Author keywords

Minimal energy; Points on the sphere; Riesz potential

Indexed keywords


EID: 33745100763     PISSN: 10652469     EISSN: 14768291     Source Type: Journal    
DOI: 10.1080/10652460500431859     Document Type: Article
Times cited : (27)

References (12)
  • 2
    • 0038392442 scopus 로고    scopus 로고
    • Energy functionals, numerical integration and asymptotic equidistribution on the sphere
    • Damelin, S.B. and Grabner, P.J., 2003, Energy functionals, numerical integration and asymptotic equidistribution on the sphere. Journal of Complexity, 19(3), 231-246.
    • (2003) Journal of Complexity , vol.19 , Issue.3 , pp. 231-246
    • Damelin, S.B.1    Grabner, P.J.2
  • 3
    • 84973999972 scopus 로고
    • On means of distances on the surface of a sphere. II: Upper bounds
    • Wagner, G., 1992, On means of distances on the surface of a sphere. II: upper bounds. Pacific Journal of Mathematics, 154(2), 381-396.
    • (1992) Pacific Journal of Mathematics , vol.154 , Issue.2 , pp. 381-396
    • Wagner, G.1
  • 6
    • 84973998293 scopus 로고
    • On means of distances on the surface of a sphere (lower bounds)
    • Wagner, G., 1990, On means of distances on the surface of a sphere (lower bounds). Pacific Journal of Mathematics, 144(2), 389-398.
    • (1990) Pacific Journal of Mathematics , vol.144 , Issue.2 , pp. 389-398
    • Wagner, G.1
  • 7
    • 0001878701 scopus 로고
    • Positive definite functions on spheres
    • Schoenberg, I.J., 1942, Positive definite functions on spheres. Duke Mathematical Journal, 9, 96-108.
    • (1942) Duke Mathematical Journal , vol.9 , pp. 96-108
    • Schoenberg, I.J.1
  • 8
    • 0004093453 scopus 로고
    • Berlin Heidelberg New York: Springer-Verlag
    • Müller, C., 1966, Spherical Harmonics (Berlin Heidelberg New York: Springer-Verlag).
    • (1966) Spherical Harmonics
    • Müller, C.1
  • 10
    • 13844275746 scopus 로고    scopus 로고
    • Minimal Riesz energy point configurations for rectifiable d-dimensional manifolds
    • Hardin, D. and Saff, E.B., 2005, Minimal Riesz energy point configurations for rectifiable d-dimensional manifolds. Advances in Mathematics, 193, 174-204.
    • (2005) Advances in Mathematics , vol.193 , pp. 174-204
    • Hardin, D.1    Saff, E.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.