메뉴 건너뛰기




Volumn 273, Issue 1-3, 1998, Pages 83-117

The general rational interpolation problem and its connection with the Nevanlinna-Pick interpolation and power moment problem

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0041857896     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(97)00346-7     Document Type: Article
Times cited : (15)

References (28)
  • 2
    • 0001475894 scopus 로고
    • Truncated moment problems for operators
    • T. Ando, Truncated moment problems for operators, Acta. Sci. Math. (Szeged) 31:319-334 (1970).
    • (1970) Acta. Sci. Math. (Szeged) , vol.31 , pp. 319-334
    • Ando, T.1
  • 3
    • 0000481385 scopus 로고
    • Interpolation problems for Pick-Nevanlinna and Löwner types for meromorphis matrix functions
    • J. A. Ball, Interpolation problems for Pick-Nevanlinna and Löwner types for meromorphis matrix functions, Integral Equations Operator Theory 6:804-840 (1983).
    • (1983) Integral Equations Operator Theory , vol.6 , pp. 804-840
    • Ball, J.A.1
  • 4
    • 0002288737 scopus 로고
    • Nevanlinna-Pick interpolaton: Generalizations and applications
    • (J. B. Conway and B. B. Morrell, Eds.), Pitman, Boston
    • J. A. Ball, Nevanlinna-Pick interpolaton: Generalizations and applications, in Survey of Some Recent Results in Operator Theory I (J. B. Conway and B. B. Morrell, Eds.), Pitman, Boston, 1988, pp. 51-94.
    • (1988) Survey of Some Recent Results in Operator Theory I , pp. 51-94
    • Ball, J.A.1
  • 7
    • 0030489089 scopus 로고    scopus 로고
    • The general rational interpolation problem in the scalar case and its Hankel vector
    • G.-N. Chen, B. Zhao, and H.-P. Zhang, The general rational interpolation problem in the scalar case and its Hankel vector, Linear Algebra Appl. 244:165-201 (1996).
    • (1996) Linear Algebra Appl. , vol.244 , pp. 165-201
    • Chen, G.-N.1    Zhao, B.2    Zhang, H.-P.3
  • 10
    • 0003237662 scopus 로고
    • J-contractive matrix functions, reproducing kernel Hilbert spaces and interpolation
    • Amer. Math. Soc., Providence
    • H. Dym, J-contractive matrix functions, reproducing kernel Hilbert spaces and interpolation, in Regional Conf. Ser. in Math. 71, Amer. Math. Soc., Providence, 1989.
    • (1989) Regional Conf. Ser. in Math , vol.71
    • Dym, H.1
  • 11
    • 0039355817 scopus 로고
    • Quasidirect decomposition of Hankel and Toeplitz matrices
    • M. Fiedler, Quasidirect decomposition of Hankel and Toeplitz matrices, Linear Algebra Appl. 61:155-174 (1984).
    • (1984) Linear Algebra Appl. , vol.61 , pp. 155-174
    • Fiedler, M.1
  • 14
    • 0041565019 scopus 로고
    • Hankel matrices generated by the Markov parameters, Hankel matrix extension, partial realization and Padé approximation
    • Birkhäuser Basel
    • G. Heinig and U. Jungnickel, Hankel matrices generated by the Markov parameters, Hankel matrix extension, partial realization and Padé approximation, in Oper. Theory Adv. Appl. 19, Birkhäuser Basel, 1986, pp. 231-253.
    • (1986) Oper. Theory Adv. Appl. , vol.19 , pp. 231-253
    • Heinig, G.1    Jungnickel, U.2
  • 16
    • 84970085002 scopus 로고
    • Analytic theory of a class of interpolation problems
    • I. V. Kovalishina, Analytic theory of a class of interpolation problems, Math. USSR Izv. 22:449-463 (1984).
    • (1984) Math. USSR Izv. , vol.22 , pp. 449-463
    • Kovalishina, I.V.1
  • 18
    • 0003197687 scopus 로고
    • The Markov moment problem and extremal problems
    • Amer. Math. Soc., Providence
    • M. G. Krein and A. A. Nudelman, The Markov Moment Problem and Extremal Problems, Transl. Math. Monogr. 50, Amer. Math. Soc., Providence, 1977.
    • (1977) Transl. Math. Monogr. , vol.50
    • Krein, M.G.1    Nudelman, A.A.2
  • 21
    • 0000710287 scopus 로고
    • Relations d'un problème de Nevanlinna et Pick avec la théorie des opérateurs de l'espace Hilbertien
    • B. Sz. Nagy and A. Korańyi, Relations d'un problème de Nevanlinna et Pick avec la théorie des opérateurs de l'espace Hilbertien, Acta. Math. Acad. Sci. Hungar. 7:295-302 (1956).
    • (1956) Acta. Math. Acad. Sci. Hungar. , vol.7 , pp. 295-302
    • Nagy, B.Sz.1    Korańyi, A.2
  • 22
    • 0002997583 scopus 로고
    • Asymptotische entwicklungen beschränkter funktionen und stieltjesche momentenproblem
    • R. Nevanlinna, Asymptotische Entwicklungen beschränkter Funktionen und Stieltjesche Momentenproblem, Ann. Acad. Sci. Fenn. Ser. A 18, No. 5 (1922).
    • (1922) Ann. Acad. Sci. Fenn. Ser. A , vol.18 , Issue.5
    • Nevanlinna, R.1
  • 23
    • 0002997583 scopus 로고
    • Über beschränkte analytische funktionen
    • R. Nevanlinna, Über beschränkte analytische Funktionen, Ann. Acad. Sci. Fenn. Ser. A 32:1-75 (1929).
    • (1929) Ann. Acad. Sci. Fenn. Ser. A , vol.32 , pp. 1-75
    • Nevanlinna, R.1
  • 24
    • 34250974038 scopus 로고
    • Über die beschränkte analytischer funktionen welche durch vorgegebene funktionswerte bewirkt werden
    • G. Pick, Über die beschränkte analytischer Funktionen welche durch vorgegebene Funktionswerte bewirkt werden, Math. Ann. 77:7-23 (1916).
    • (1916) Math. Ann. , vol.77 , pp. 7-23
    • Pick, G.1
  • 28
    • 0003288344 scopus 로고
    • Interpolation and approximation by rational functions in the complex domain
    • Providence
    • J. L. Walsh, Interpolation and approximation by rational functions in the complex domain, in Amer. Math. Soc. Colloq. Publ., 20, Providence, 1956.
    • (1956) Amer. Math. Soc. Colloq. Publ. , vol.20
    • Walsh, J.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.