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Volumn 7, Issue 2, 2001, Pages 209-224

The nevanlinna theorem of the classical theory of moments revisited

Author keywords

Nevanlinna's theorem; Operator approach; Power moments

Indexed keywords


EID: 27944440947     PISSN: 14256908     EISSN: 18696082     Source Type: Journal    
DOI: 10.1515/JAA.2001.209     Document Type: Article
Times cited : (11)

References (15)
  • 1
    • 0020746798 scopus 로고
    • High-frequency electrical conductivity of a collisional plasma
    • Adamyan, V. M. and Tkachenko, I. M., High-frequency electrical conductivity of a collisional plasma, High Temp. (USA) 21, (1983), 307.
    • (1983) High Temp. (USA) , vol.21 , pp. 307
    • Adamyan, V.M.1    Tkachenko, I.M.2
  • 4
    • 0000825922 scopus 로고
    • Recursiveness, positivity, and truncated moment problems
    • Curto, R. E. and Fialkow, L. A., Recursiveness, positivity, and truncated moment problems, Houston J. Math. 17 (1991), 603;
    • (1991) Houston J. Math. , vol.17 , pp. 603
    • Curto, R.E.1    Fialkow, L.A.2
  • 5
    • 84902323328 scopus 로고    scopus 로고
    • Solutions of the truncated moment problem
    • Curto, R. E. and Fialkow, L. A., Solutions of the Truncated Moment Problem, Mem. Amer. Math. Soc. 119 (1996).
    • (1996) Mem Amer Math Soc , pp. 119
    • Curto, R.E.1    Fialkow, L.A.2
  • 6
    • 0000166538 scopus 로고
    • Uber eine erweiterung des stieltjesschen momentenproblems
    • Hamburger, H., Über eine Erweiterung des Stieltjesschen Momentenproblems, Math. Ann. 81 (1920), 235; ibid, 82 (1921), 120; ibid, 82 (1921), 168.
    • (1920) Math. Ann. , vol.81 , pp. 235
    • Hamburger, H.1
  • 7
    • 84963011752 scopus 로고
    • Moment theory, orthogonal polynomials, quadrature, and continued fractions associated with the unit circle
    • Jones, W. B., Njástad, O., Thron, W. J., Moment theory, orthogonal polynomials, quadrature, and continued fractions associated with the unit circle, Bull. London Math. Soc. 21 (1989), 113-152.
    • (1989) Bull. London Math. Soc. , vol.21 , pp. 113-152
    • Jones, W.B.1    Njástad, O.2    Thron, W.J.3
  • 8
    • 0000346864 scopus 로고
    • The theory of extensions of semibounded hermitian operators and its applications (in russian)
    • Krein, M. G., The theory of extensions of semibounded Hermitian operators and its applications (in Russian), Mat. Sb. 20 (1947), 431-495.
    • (1947) Mat. Sb. , vol.20 , pp. 431-495
    • Krein, M.G.1
  • 9
    • 0010707474 scopus 로고
    • The description of all solutions of the truncated power moment problem and some problems of operator theory
    • M.G. Krein, The description of all solutions of the truncated power moment problem and some problems of operator theory, Mat. Issled. 2(2) (1967), 114-132;
    • (1967) Mat. Issled. , vol.2 , Issue.2 , pp. 114-132
    • Krein, M.G.1
  • 10
    • 0010667614 scopus 로고
    • English translation
    • English translation, Amer. Math. Soc. Transl. Ser. 2 95 (1970), 219-234.
    • (1970) Amer. Math. Soc. Transl. Ser. 2 , vol.95 , pp. 219-234
  • 11
    • 0003197687 scopus 로고
    • The markov moment problem and extremal problems
    • Amer. Math. Soc., Providence, RI
    • Krein, M. G., Nudel'man, A. A., The Markov Moment Problem and Extremal Problems, Transl. Math. Monographs 50 (1977), Amer. Math. Soc., Providence, RI.
    • (1977) Transl. Math. Monographs , vol.50
    • Krein, M.G.1    Nudel'man, A.A.2
  • 12
    • 0003372433 scopus 로고
    • Moments in mathematics
    • Amer. Math. Soc., Providence, RI
    • Landau, H. J. (Ed.), Moments in Mathematics, Proc. Sympos. Appl. Math. 37 (1987), Amer. Math. Soc., Providence, RI.
    • (1987) Proc. Sympos. Appl. Math. , vol.37
    • Landau, H.J.1
  • 14
    • 0003301123 scopus 로고
    • The problem of moments
    • Amer. Math. Soc., Providence, RI, (4th Ed.
    • Shohat, J. A., Tamarkin, J. D., The Problem of Moments, Math. Surveys Monographs 1 (1943), Amer. Math. Soc., Providence, RI, (4th Ed. 1970).
    • (1970) Math. Surveys Monographs , vol.1 , pp. 1943
    • Shohat, J.A.1    Tamarkin, J.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.