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A survey of a fourier series method for meromorphic functions

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L'Analyse Harmonique dans le Domaine Complexe

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 336))

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References

  1. W. Beck, Efficient quotient representations of meromorphic functions in the disc, Thesis, University of Illinois (Urbana-Champaign), 1970.

    Google Scholar 

  2. D.D. Bonar, On annular functions, VEB Deutscher Verlag der Wissenschaften, Berlin, 1971.

    MATH  Google Scholar 

  3. D.D. Bonar and F.W. Carroll, Distribution of a-points for unbounded analytic functions, preprint 1972.

    Google Scholar 

  4. A. Edrei and W.H.J. Fuchs, Meromorphic functions with several deficient values, Trans. Amer. Math. Soc. 93 (1959), pp. 292–328.

    MathSciNet  MATH  Google Scholar 

  5. H. Kneser, Zur theorie der gebrochenen Funktionen mehrer Verändlicher, Jber. Deutsch Math.-Verein 48 (1938), pp. 1–28.

    MATH  Google Scholar 

  6. J. Kopeć, On a generalization of Jensen's formula, Prace Mat. XIII. 1 (1969), pp. 77–80.

    MATH  Google Scholar 

  7. Robert O. Kujala, Functions of finite λ-type in several complex variables, Trans. Amer. Math. Soc. 161 (1971), pp. 327–358.

    MathSciNet  MATH  Google Scholar 

  8. R. Kujala, Functions of finite λ-type on the unit ball in Cn, in preparation.

    Google Scholar 

  9. R. Kujala, Generalized Blaschke conditions, in preparation.

    Google Scholar 

  10. R.O. Kujala, On algebraic divisors in Ck, Symposium on Several Complex Variables, Park City, Utah, 1970, Lecture Notes in Mathematics 184, Springer Verlag, Berlin, 1971.

    Google Scholar 

  11. C.N. Linden, Integral means and zero distribution of Blaschke products, preprint.

    Google Scholar 

  12. C.N. Linden, On Blaschke products of restricted growth, Pacific J. Math 38 (1971), pp. 501–513.

    Article  MathSciNet  MATH  Google Scholar 

  13. C.N. Linden, On Blaschke products with small integral means, preprint.

    Google Scholar 

  14. G.R. MacLane and L.A. Rubel, On the growth of blaschke products, Canadian J. Math. 21 (1969), pp. 595–600.

    Article  MathSciNet  MATH  Google Scholar 

  15. J. Miles, Quotient representations of meromorphic functions, J. D'Analyse Math., XXV (1972), pp. 371–388.

    Article  MathSciNet  MATH  Google Scholar 

  16. J. Miles and D.F. Shea, An extremal problem in value-distribution theory, submitted.

    Google Scholar 

  17. F. Nevanlinna, Bemerkungen zur Theorie der ganzen Funktionen endlicher Ordnung, Soc. Sci. Fenn. Comment. Phys.-Math. 2 Nr. 4, (1923).

    Google Scholar 

  18. R. Nevanlinna, Zur theorie der meromorphen Funktionen, Acta Math. 46 (1925), pp. 1–99.

    Article  MathSciNet  MATH  Google Scholar 

  19. P. Noverraz, Extensions d'une méthode de séries de Fourier aux fonctions sousharmoniques et plurisousharmoniques, Séminaire P. Lelong, 6ème année 1965/66, Exposé n. 3.

    Google Scholar 

  20. P. Noverraz, Extension d'une méthode de séries de Fourier aux fonctions sousharmoniques et plurisousharmoniques, C. R. Acad. Sci. Paris, t. 264 (10 Avril 1967), pp. 675–678.

    MathSciNet  MATH  Google Scholar 

  21. L.A. Rubel, A Fourier series method for entire functions, Duke Math. J. 30 (1963), pp. 437–442.

    Article  MathSciNet  MATH  Google Scholar 

  22. L.A. Rubel, A generalized characteristic for meromorphic functions, J. Math. Anal. and Applic. 18 (1967), pp. 565–584.

    Article  MathSciNet  MATH  Google Scholar 

  23. L.A. Rubel, Croissance et zéros des Fonctions Méromorphes — Espaces Duals de Fonctions Entières, Publications du Séminaire de Mathématiques d'Orsay 1965–66.

    Google Scholar 

  24. L.A. Rubel, Une caractéristique généralisée pour les fonctions méromorphes, C.R. Acad. Sci. Paris, t. 262 (9 Mai 1966), pp. 1043–1045.

    MathSciNet  MATH  Google Scholar 

  25. L.A. Rubel, Une méthode de séries de Fourier pour les fonctions méromorphes, Séminaire P. Lelong, 6ème année, 1965/66, Exposé n.1.

    Google Scholar 

  26. L.A. Rubel and B.A. Taylor, A Fourier series method for meromorphic and entire functions, Bull. Soc. Math. France 96 (1968), pp. 53–96.

    MATH  Google Scholar 

  27. L.A. Rubel and B.A. Taylor, A generalized canonical product, Sovrmen.Prob. Teor. Analit. Funkcii, Erevan 1965, pp. 264–270, Moscow (1966).

    Google Scholar 

  28. H. Skoda, Croissance des fonctions entières s'annulant sur une hypersurface donnée de Cn, preprint 1970 (Also Seminaire P. Lelong 1971).

    Google Scholar 

  29. H. Skoda, Croissance des fonctions entières s'annulant sur un sous-ensemble analytique dans Cn, C.R. Acad. Sci. Paris, t. 274 (3 Mai 72), pp. 1347–1350.

    Google Scholar 

  30. H. Skoda, Solution à croissance du second problème de Cousin dans Cn, Ann. Inst. Fourier (Grenoble) XXI (1971), pp. 11–23.

    Article  MathSciNet  MATH  Google Scholar 

  31. W. Stoll, About entire and meromorphic functions of exponential type, Proceedings of Symposia in Pure Mathematics, Vol. XI, Amer. Math. Soc., Providence, 1968, pp. 392–430.

    Google Scholar 

  32. B.A. Taylor, Duality and entire functions, Thesis, University of Illinois (Urbana-Champaign), 1965.

    Google Scholar 

  33. B.A. Taylor, Some locally convex spaces of entire functions, Proceedings of Symposia in Pure Mathematics, Vol. XI, Amer. Math. Soc., Providence, 1968, pp. 431–467.

    Google Scholar 

  34. B.A. Taylor, The field of quotients of some rings of entire functions, Proceedings of Symposia in Pure Mathematics, Vol. XI, Amer. Math. Soc., Providence, 1968, pp. 468–474.

    Google Scholar 

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Authors
  1. L. A. Rubel
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E. J. Akutowicz

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Rubel, L.A. (1973). A survey of a fourier series method for meromorphic functions. In: Akutowicz, E.J. (eds) L'Analyse Harmonique dans le Domaine Complexe. Lecture Notes in Mathematics, vol 336. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065787

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  • DOI: https://doi.org/10.1007/BFb0065787

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  • Print ISBN: 978-3-540-06392-6

  • Online ISBN: 978-3-540-47170-7

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