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Harmonic analysis of multi-parameter semigroups of contractions

Part of the Lecture Notes in Mathematics book series (LNM,volume 1272)

Keywords

  • Riemann Surface
  • Hardy Space
  • Invariant Subspace
  • Unitary Representation
  • Hyperbolic System

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References

  1. B. Sz. Nagy and C. Foias, "Harmonic Analysis of Operators in Hilbert Space," North-Holland, Amsterdam, 1970.

    MATH  Google Scholar 

  2. I. Suciu, "Algebre de Functii," Edetura Academici Republicii Socialisti România, Bucarest, 1969.

    Google Scholar 

  3. W. Rudin, "Function Theory in Polydisks," Benjamin, New York, 1969.

    Google Scholar 

  4. M. S. Brodskij, "Triangular and Jordan Representations of Linear Operators," American Mathematical Society Translations, vol. 32, Providence, 1971.

    Google Scholar 

  5. M. Hasumi, Invariant subspace theorems for Riemann spaces, in "Function Algebras," Scott, Foremann & Co., Chicago, 1965, pp. 250–256.

    Google Scholar 

  6. M. Voichick, Invariant subspaces on Riemann surfaces, Canadian J. Math. 18 (1966), 399–403.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. M. I. Knopp, A corona theorem for automorphic forms and related results, Amer. J. Math. 91 (1969), 599–618.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. N. L. Alling, A proof of the Corona conjecture for finite open Riemann surfaces, Bull. Amer. Math. Soc. 70 (1964), 110–112.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. C. M. Stanton, The closed ideals in a function algebra, Trans. Amer. Math. Soc. 154 (1971), 289–300.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. E. L. Stout, Bounded holomorphic functions on finite Riemann surfaces, Trans. Amer. Math. Soc. 120 (1965), 255–285.

    MathSciNet  MATH  Google Scholar 

  11. M. B. Abrahamse and R. G. Douglas, A class of subnormal operators related to multi-connected domains, Advances in Math. 19 (1976), 106–148.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. P. D. Lax and R. S. Phillips, "Scattering Theory," Academic Press, New York, 1967.

    MATH  Google Scholar 

  13. T. Kato, "Perturbation Theory of Linear Operators," Springer-Verlag, Heidelberg, 1966.

    CrossRef  MATH  Google Scholar 

  14. N. J. Ahiezer, "Elements of the Theory of Elliptic Functions," Nauka, Moscow, 1970). (Russian)

    Google Scholar 

  15. B. V. Limaye, Blaschke products for finite Riemann surfaces, Studia Math. 34 (1970), 169–176.

    MathSciNet  MATH  Google Scholar 

  16. L. L. Waksman, Harmonic analysis of multi-parameter semigroups of contractions, Viniti 3991-80, Dep. 1–166. (Russian)

    Google Scholar 

  17. I. G. Petrovskij, "Lectures on Partial Differential Equations," Wiley, New York, 1954.

    Google Scholar 

  18. N. K. Nikolskij, "Lectures on Shift Operators," Springer-Verlag, to appear.

    Google Scholar 

  19. P. A. Fuhrmann, On the Corona theorem and its applications to spectral problems in Hilbert space, Trans. Amer. Math. Soc. 1932 (1968), 55–66.

    CrossRef  MathSciNet  MATH  Google Scholar 

  20. M. S. Livšic, Cayley-Hamilton theorem, vector bundles and divisors of commuting operators, Integral Equations and Operator Theory 6 (1983), 250–273.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1987 Springer-Verlag

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Waksman, L. (1987). Harmonic analysis of multi-parameter semigroups of contractions. In: Commuting Nonselfadjoint Operators in Hilbert Space. Lecture Notes in Mathematics, vol 1272. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078927

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  • DOI: https://doi.org/10.1007/BFb0078927

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  • Print ISBN: 978-3-540-18316-7

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