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Infinite hankel matrices and generalized carathéodory — fejer and riesz problems

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Literature Cited

  1. A. N. Kolmogorov and Yu. A. Rozanov, "Conditions for the strong intermixing of Gaussian stationary processes," Teoriya Veroyat. i ee Primen.,5, No. 2, 222–227 (1960).

    Google Scholar 

  2. Carathéodory and Fejer, "Über den Zusammenhang der Extremen von harmonischen Funktionen mit ihren Koeffizienten und über den Picard-Laundauschen Satz", Rend. Circolo mat. Palermo,32, 218–239 (1911).

    Google Scholar 

  3. K. Hoffman, Banach Spaces of Analytical Functions [Russian translation], IL, Moscow (1963).

    Google Scholar 

  4. F. Riesz, "Über Potenzreihen mit vorgeschriebenen Anfangsgliedern", Acta Math.,42, 145–171 (1920).

    Google Scholar 

  5. J. Schur, "Über Potenzreihen die im Innern des Einheitskreises beschränkt sind," J. Math.,147, 205–232 (1917).

    Google Scholar 

  6. T. Takagi, "On an algebraic problem related to an analytic theorem of Carathéodory and Fejer," Japan J. Math.,1, 83–93 (1924);2, 13–17 (1925).

    Google Scholar 

  7. N. I. Akhiezer, Lectures on Approximation Theory [in Russian], Nauka, Moscow (1965), pp. 305–310.

    Google Scholar 

  8. H. Helson and D. Sarason, Past and Future, preprint (1966).

  9. A. Sigmund, Trigonometric Series [Russian translation], Vol. 1, Chapters 4 and 5, Mir, Moscow (1965).

    Google Scholar 

  10. I. Ts. Gokhberg and M. G. Krein, Introduction to the Theory of Linear Nonselfadjoint Operators in Hilbert Space [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  11. Ya. L. Geronimus, "On one problem of F. Riesz and the generalized Chebyshev-Korkin-Zolotarev problem", Izv. Akad. Nauk SSSR, Ser. Matem.,3, 279–288 (1939).

    Google Scholar 

  12. T. Kato, "On the Hilbert matrix", Proc. Amer. Math. Soc.,8, No. 1, 73–81 (1957).

    Google Scholar 

  13. W. Magnus, "Über einige beschränkte Matrizen", Arch. Math.,2, 405–412 (1949–1950).

    Google Scholar 

  14. I. Ts. Gokhberg, "On the limits of validity of F. Neter's theorems", Uchenye zap. Kish. Univ.,17, 35–44 (1955).

    Google Scholar 

  15. I. Ts. Gokhberg, "Toeplitz matrices formed from the Fourier coefficients of piecewise-continuous functions", Funktsional'. Analiz i Ego Prilozhen.,1, No. 2, 91–92 (1967).

    Google Scholar 

  16. I. M. Gel'fand, D. A. Raikov, and G. E. Shilov, Commutative Normed Rings [in Russian], Fizmatgiz, Moscow (1960).

    Google Scholar 

  17. H. Helson and G. Szegö, "Problem in prediction theory", Ann. Mat. Pura et Appl.,50, Series IV, 107–138 (1960).

    Google Scholar 

  18. Z. Nehari, "On bounded bilinear forms", Ann. Math.,65, No. 1, 153–162 (1957).

    Google Scholar 

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Authors
  1. V. M. Adamyan
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  2. D. Z. Arov
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  3. M. G. Krein
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Additional information

Pedagogical Institute, Odessa, and Odessa Engineering Construction Institute. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 2, No. 1, pp. 1–19, January–March, 1968.

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Adamyan, V.M., Arov, D.Z. & Krein, M.G. Infinite hankel matrices and generalized carathéodory — fejer and riesz problems. Funct Anal Its Appl 2, 1–18 (1968). https://doi.org/10.1007/BF01075356

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  • DOI: https://doi.org/10.1007/BF01075356

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