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Wiener's theorem and semigroups of operators

Part of the Lecture Notes in Mathematics book series (LNM,volume 1076)

Keywords

  • Unitary Group
  • Ergodic Theorem
  • Complex Hilbert Space
  • Semi Group
  • Contraction Semigroup

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References

  1. Akutowicz, E. J., N. Wiener: The definition and ergodic properties of the stochastic adjoint of a unitary transformation, Rend. Circ. Math. Palermo 6 (1957), 205–217.

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  2. Ballotti, M. E.: Modern Versions of the Theorems of Kneser and Wiener, Ph.D. Thesis, Tulane University, 1983.

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  3. Goldstein, J. A., C. Radin, R. E. Showalter: Convergence rates of ergodic limits for semigroups and cosine functions, Semigroup Forum 16 (1978), 89–96.

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  4. Kato, T.: Perturbation Theory for Linear Operators, Springer, Berlin, 1980.

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  5. Robinson, D.: Propagation properties in scattering theory, J. Austral. Math. Soc. 21B (1980), 474–485.

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  6. Wiener, N.: Generalized harmonic analysis, Acta Math. 55 (1930), 117–258.

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© 1984 Springer-Verlag

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Ballotti, M.E., Goldstein, J.A. (1984). Wiener's theorem and semigroups of operators. In: Kappel, F., Schappacher, W. (eds) Infinite-Dimensional Systems. Lecture Notes in Mathematics, vol 1076. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072761

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  • DOI: https://doi.org/10.1007/BFb0072761

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13376-6

  • Online ISBN: 978-3-540-38932-3

  • eBook Packages: Springer Book Archive