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Banach algebra methods in renewal theory

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References

  1. A. Beurling, Sur les intégrales de Fourier absolument convergentes et leur application à une transformation fonctionnelle. Neuvième congrès des mathématiciens scandinaves, Helsingfors, 1938.

  2. J. Chover, P. Ney and S. Wainger, Aspects of renewal theory and Volterra equations, to appear.

  3. Y. Domar, Harmonic analysis based on certain commutative Banach algebras.Acta Mathematica,96 (1956), 1–66.

    Article  MATH  MathSciNet  Google Scholar 

  4. M. Essén, Studies on a convolution inequality.Arkiv för Matematik,5 (1963), 113–152.

    Article  Google Scholar 

  5. Th. W. Gamelin, Uniform algebras. Prentice-Hall 1969.

  6. L. Hörmander, An introduction to complex analysis in several variables. Van Nostrand 1966.

  7. L. H. Loomis, An introduction to abstract harmonic analysis. Van Nostrand 1953.

  8. R. E. A. C. Paley and N. Wiener, Fourier transforms in the complex domain. Amer. Math. Soc., Colloquium Publ. 19, 1934.

  9. W. Rudin, Fourier analysis on groups. Interscience 1962.

  10. W. Rudin, Real and complex analysis, McGraw-Hill 1966.

  11. F. Spitzer, Principles of randon walk. Van Nostrand 1964.

  12. C. Stone, On moment generating functions and renewal theory.Annals of Mathematical Statistics,36 (1965), 1298–1301.

    Article  MathSciNet  MATH  Google Scholar 

  13. C. Stone and S. Wainger, One-sided error estimates in renewal theory.Journal d'Analyse Mathématique,20 (1967), 325–352.

    Article  MATH  MathSciNet  Google Scholar 

  14. J. Wermer, On a class of normed rings.Ark. Mat.,2 (1954), 537–551.

    Article  MATH  MathSciNet  Google Scholar 

  15. A. Zygmund, Trigonometric series. Cambridge 1959.

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Authors and Affiliations

  1. Division of Mathematics, Royal Institute of Technology, Stockholm, Sweden

    Matts Essén

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  1. Matts Essén
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Essén, M. Banach algebra methods in renewal theory. J. Anal. Math. 26, 303–336 (1973). https://doi.org/10.1007/BF02790434

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  • DOI: https://doi.org/10.1007/BF02790434

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