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Volumn 15, Issue 1, 1999, Pages 135-151

Riesz's theorem for orthogonal matrix polynomials

Author keywords

Matrix moment problem; Orthogonal matrix polynomials

Indexed keywords


EID: 0033249433     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003659900101     Document Type: Article
Times cited : (15)

References (13)
  • 2
    • 84956250802 scopus 로고
    • The scattering problem for a discrete Sturm-Liouville operator
    • A. I. APTEKAREV, E. M. NIKISHIN (1984): The scattering problem for a discrete Sturm-Liouville operator. Math. USSR-Sb., 49:325-355.
    • (1984) Math. USSR-Sb. , vol.49 , pp. 325-355
    • Aptekarev, A.I.1    Nikishin, E.M.2
  • 4
    • 0003116004 scopus 로고
    • On orthogonal polynomials with respect to a positive definite matrix of measures
    • A. J. DURÁN (1995): On orthogonal polynomials with respect to a positive definite matrix of measures, Canad. J. Math., 47:88-112.
    • (1995) Canad. J. Math. , vol.47 , pp. 88-112
    • Durán, A.J.1
  • 5
    • 0030354029 scopus 로고    scopus 로고
    • Markov's theorem for orthogonal matrix polynomials
    • A. J. DURÁN (1996): Markov's theorem for orthogonal matrix polynomials. Canad. J. Math., 48(6): 1180-1195.
    • (1996) Canad. J. Math. , vol.48 , Issue.6 , pp. 1180-1195
    • Durán, A.J.1
  • 6
    • 0029692953 scopus 로고    scopus 로고
    • Orthogonal matrix polynomials: Zeros and Blumenthal's theorem
    • A. J. DURÁN, P. LÓPEZ-RODRÍGUEZ (1996): Orthogonal matrix polynomials: Zeros and Blumenthal's theorem. J. Approx. Theory, 84:96-118.
    • (1996) J. Approx. Theory , vol.84 , pp. 96-118
    • Durán, A.J.1    López-Rodríguez, P.2
  • 8
    • 0031536466 scopus 로고    scopus 로고
    • Density questions for the truncated matrix moment problem
    • A. J. DURÁN, P. LÓPEZ-RODRÍGUEZ (1997): Density questions for the truncated matrix moment problem. Canad. J. Math., 49(4):708-721.
    • (1997) Canad. J. Math. , vol.49 , Issue.4 , pp. 708-721
    • Durán, A.J.1    López-Rodríguez, P.2
  • 9
    • 0009421735 scopus 로고
    • Infinite J-matrices and a matrix moment problem
    • translation from Russian by Walter Van Assche in a personal note
    • M. KREIN (1949): Infinite J-matrices and a matrix moment problem. Dokl. Akad. Nauk SSSR, 69: 125-128 (translation from Russian by Walter Van Assche in a personal note).
    • (1949) Dokl. Akad. Nauk SSSR , vol.69 , pp. 125-128
    • Krein, M.1
  • 10
    • 0002997583 scopus 로고
    • Asymptotische Entwickelungen beschränkter funktionen und das Stieltjessche momentenproblem
    • R. NEVANLINNA (1922): Asymptotische Entwickelungen beschränkter Funktionen und das Stieltjessche Momentenproblem. Ann. Acad. Sci. Fenn. A, 18, 5.
    • (1922) Ann. Acad. Sci. Fenn. A , vol.18 , pp. 5
    • Nevanlinna, R.1
  • 11
    • 0009413504 scopus 로고
    • Über die quadrierbaren Hermiteschen Matrizen entstehenden operatoren
    • H. NAGEL (1936): Über die quadrierbaren Hermiteschen Matrizen entstehenden Operatoren. Math. Ann., 112, 109:247-285.
    • (1936) Math. Ann. , vol.112 , Issue.109 , pp. 247-285
    • Nagel, H.1
  • 12
    • 84972506472 scopus 로고
    • The square-integrability of matrix-valued functions with respect to a non-negative hermitian measure
    • M. ROSENBERG (1964): The square-integrability of matrix-valued functions with respect to a non-negative hermitian measure. Duke Math. J., 31:291-298.
    • (1964) Duke Math. J. , vol.31 , pp. 291-298
    • Rosenberg, M.1
  • 13
    • 0001270801 scopus 로고
    • Sur le problème des moments et le théorème de Parseval correspondant
    • M. RIESZ (1922). Sur le problème des moments et le théorème de Parseval correspondant. Acta Litt, ac Sci. (Szeged), 1:209-225.
    • (1922) Acta Litt, Ac Sci. (Szeged) , vol.1 , pp. 209-225
    • Riesz, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.