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Volumn 371, Issue SUPPL., 2003, Pages 1-31

On a moment problem for rational matrix-valued functions

Author keywords

Finite rational matrix moment problem; Nonnegative Hermitian Borel measures on the unit circle

Indexed keywords

FUNCTIONS; MATRIX ALGEBRA; NUMERICAL ANALYSIS; PROBLEM SOLVING; THEOREM PROVING; METHOD OF MOMENTS;

EID: 0042729955     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(03)00579-2     Document Type: Article
Times cited : (16)

References (14)
  • 1
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    • (1969) SIAM J. Appl. Math. , vol.17 , pp. 434-440
    • Albert, A.1
  • 2
    • 84966213885 scopus 로고
    • Inequalities in Hilbert modules of matrix-valued functions
    • Bultheel A. Inequalities in Hilbert modules of matrix-valued functions. Proc. Amer. Math. Soc. 85:1982;369-372.
    • (1982) Proc. Amer. Math. Soc. , vol.85 , pp. 369-372
    • Bultheel, A.1
  • 5
    • 0002059559 scopus 로고
    • Schur parametrization of positive definite block-Toeplitz systems
    • Delsarte P., Genin Y., Kamp Y. Schur parametrization of positive definite block-Toeplitz systems. SIAM J. Appl. Math. 36:1979;34-46.
    • (1979) SIAM J. Appl. Math. , vol.36 , pp. 34-46
    • Delsarte, P.1    Genin, Y.2    Kamp, Y.3
  • 6
    • 0002575814 scopus 로고
    • The Nevanlinna pick problem for matrix-valued functions
    • Delsarte P., Genin Y., Kamp Y. The Nevanlinna Pick problem for matrix-valued functions. SIAM J. Appl. Math. 36:1979;47-61.
    • (1979) SIAM J. Appl. Math. , vol.36 , pp. 47-61
    • Delsarte, P.1    Genin, Y.2    Kamp, Y.3
  • 8
    • 0042566424 scopus 로고
    • J -expansive matrix-valued functions and their role in the analytic theory of electrical circuits
    • Efimov A.V., Potapov V.P. J -expansive matrix-valued functions and their role in the analytic theory of electrical circuits (in Russian) Uspekhi Mat. Nauk. 28(1):1973;65-130. English translation in: Russian Math. Surveys 28 (1) (1973) 69-140.
    • (1973) Uspekhi Mat. Nauk , vol.28 , Issue.1 , pp. 65-130
    • Efimov, A.V.1    Potapov, V.P.2
  • 9
    • 0042566431 scopus 로고
    • Efimov A.V., Potapov V.P. J -expansive matrix-valued functions and their role in the analytic theory of electrical circuits (in Russian) Uspekhi Mat. Nauk. 28(1):1973;65-130. English translation in: Russian Math. Surveys 28 (1) (1973) 69-140.
    • (1973) Russian Math. Surveys , vol.28 , Issue.1 , pp. 69-140
  • 10
    • 0942278790 scopus 로고    scopus 로고
    • On rank invariance of moment matrices of nonnegative Hermitian-valued Borel measures on the unit circle
    • to appear
    • B. Fritzsche, B. Kirstein, A. Lasarow, On rank invariance of moment matrices of nonnegative Hermitian-valued Borel measures on the unit circle, Math. Nachr., to appear.
    • Math. Nachr.
    • Fritzsche, B.1    Kirstein, B.2    Lasarow, A.3
  • 12
    • 84972506472 scopus 로고
    • The square integrability of matrix-valued functions with respect to a non-negative Hermitian measure
    • Rosenberg M. The square integrability of matrix-valued functions with respect to a non-negative Hermitian measure. Duke Math. J. 31:1964;291-298.
    • (1964) Duke Math. J. , vol.31 , pp. 291-298
    • Rosenberg, M.1
  • 13
    • 0042065617 scopus 로고
    • Operators as spectral integrals of operator-valued functions from the study of multivariate stationary stochastic processes
    • Rosenberg M. Operators as spectral integrals of operator-valued functions from the study of multivariate stationary stochastic processes. J. Multivariate Anal. 4:1974;166-209.
    • (1974) J. Multivariate Anal. , vol.4 , pp. 166-209
    • Rosenberg, M.1
  • 14
    • 0042566425 scopus 로고
    • Spectral integrals of operator-valued functions-II. From the study of stationary processes
    • Rosenberg M. Spectral integrals of operator-valued functions-II. From the study of stationary processes. J. Multivariate Anal. 6:1976;538-571.
    • (1976) J. Multivariate Anal. , vol.6 , pp. 538-571
    • Rosenberg, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.