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Remark on the extrapolation of Banach space valued stationary processes

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Part of the Lecture Notes in Mathematics book series (LNM,volume 828)

Keywords

  • Banach Space
  • Spectral Measure
  • Operator Density
  • Separable Banach Space
  • Complex Banach Space

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References

  1. Chobanjan, S.A., Weron, A., Banach space valued stationary processes and their linear prediction, Dissertationes Math. 125 (1975), 1–45.

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  2. Górniak, J., Weron, A., An analogue of Sz.-Nagy’s ditation theorem, Bull.Acad.Polon.Sci.,Ser.Math., Astronom.,Phys. XXIV, No 10, (1976), 867–872.

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  3. Makagon, A., On the Hellinger square integral with respect to an operator valued measure and stationary processes, to appear.

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  4. Makagon, A., Schmidt, F., The decomposition theorem for densities of positive operator valued measures, to appear.

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  5. Miamee, A.G., Salehi, H., Necessary and sufficient conditions for factorability of non-negative operator valued functions on a Banach space, Proc.Amer.Math.Soc. 46 1(1974), 43–50.

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  6. Rosanov, Yu.A., Some approximation problems in the theory of stationary processes, J.Mult.Anal. 2 (1972), 135–144.

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  7. Rosanov, Yu.A., Theory of innovation processes, Moscow 1975 (in Russian).

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  8. Weron, A., Remarks on positive definite operator valued functions in Banach spaces, Bull.Acad.Polon.Sci.,Ser.Math., Astronom.,Phys., XXIV No. 10 (1976), 873–876.

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© 1980 Springer-Verlag

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Makagon, A. (1980). Remark on the extrapolation of Banach space valued stationary processes. In: Weron, A. (eds) Probability Theory on Vector Spaces II. Lecture Notes in Mathematics, vol 828. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097404

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  • DOI: https://doi.org/10.1007/BFb0097404

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10253-3

  • Online ISBN: 978-3-540-38350-5

  • eBook Packages: Springer Book Archive