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Volumn 35, Issue 2, 1996, Pages 301-321

On the number of nodal domains of spherical harmonics

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EID: 0030121877     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/0040-9383(95)00028-3     Document Type: Article
Times cited : (33)

References (18)
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    • The topology of real algebraic curves
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    • 1. V. I. ARNOL'D: The topology of real algebraic curves (the works of Petrovskii and their development), Uspekhi Mat. Nauk 28(5) (1973), 260-262 (in Russian).
    • (1973) Uspekhi Mat. Nauk , vol.28 , Issue.5 , pp. 260-262
    • Arnol'd, V.I.1
  • 2
    • 84956129949 scopus 로고
    • Some unsolved problems in the theory of differential equations and mathematical physics
    • 2. V. I. ARNOL'D et al.: Some unsolved problems in the theory of differential equations and mathematical physics, Russian Math. Surveys 44(4) (1989), 157-171.
    • (1989) Russian Math. Surveys , vol.44 , Issue.4 , pp. 157-171
    • Arnol'd, V.I.1
  • 3
    • 0003649604 scopus 로고
    • Springer, Berlin-Heidelberg
    • 3. M. BERGER: Geometry II, Springer, Berlin-Heidelberg (1987).
    • (1987) Geometry II
    • Berger, M.1
  • 6
    • 51249192264 scopus 로고
    • Eigenfunctions and nodal sets
    • 6. S. Y. CHENG: Eigenfunctions and nodal sets, Comment. Math. Helvetici 51 (1976), 43-55.
    • (1976) Comment. Math. Helvetici , vol.51 , pp. 43-55
    • Cheng, S.Y.1
  • 8
    • 84933293462 scopus 로고
    • The topology of real projective algebraic varieties
    • 8. D. A. GUDKOV: The topology of real projective algebraic varieties, Russian Math. Surveys 29(4) (1974), 1-79 and Uspekhi Mat. Nauk 29(4) (1974), 3-79.
    • (1974) Russian Math. Surveys , vol.29 , Issue.4 , pp. 1-79
    • Gudkov, D.A.1
  • 9
    • 84933293462 scopus 로고
    • 8. D. A. GUDKOV: The topology of real projective algebraic varieties, Russian Math. Surveys 29(4) (1974), 1-79 and Uspekhi Mat. Nauk 29(4) (1974), 3-79.
    • (1974) Uspekhi Mat. Nauk , vol.29 , Issue.4 , pp. 3-79
  • 10
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    • Über die Vieltheiligkeit der ebenen algebraischen Curven
    • 9. A. HARNACK: Über die Vieltheiligkeit der ebenen algebraischen Curven, Math. Ann. 10 (1876), 189-199.
    • (1876) Math. Ann. , vol.10 , pp. 189-199
    • Harnack, A.1
  • 11
    • 34249976501 scopus 로고
    • Topology of the zeros of eigenfunctions
    • in Russian
    • 10. V. N. KARPUSHKIN: Topology of the zeros of eigenfunctions, Funktsional. Anal. i Prilozhen. 23(3) (1989), 59-60 (in Russian).
    • (1989) Funktsional. Anal. I Prilozhen. , vol.23 , Issue.3 , pp. 59-60
    • Karpushkin, V.N.1
  • 13
    • 84980087944 scopus 로고
    • Remarks on Courant's nodal domain theorem
    • 12. A. PLEIJEL: Remarks on Courant's nodal domain theorem, Comm. Pure Appl. Math. 9 (1956), 543-550.
    • (1956) Comm. Pure Appl. Math. , vol.9 , pp. 543-550
    • Pleijel, A.1
  • 15
    • 0001214360 scopus 로고
    • Real algebraic plane curves: Constructions with controlled topology
    • 14. O. YA. VIRO: Real algebraic plane curves: constructions with controlled topology, Leningrad Math. J. 1(5) (1990), 1059-1134.
    • (1990) Leningrad Math. J. , vol.1 , Issue.5 , pp. 1059-1134
    • Viro O., Y.A.1
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  • 18
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    • Hilbert's sixteenth problem
    • 17. G. WILSON: Hilbert's sixteenth problem, Topology 17 (1978), 53-73.
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    • Wilson, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.