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Tauberian theorems concerning Laplace transforms and Dirichlet series

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References

  1. D. Borwein, Tauberian conditions for the equivalence of weighted mean and power series methods of summability. Canad. Math. Bull.24, 309–316 (1981).

    Google Scholar 

  2. D. Borwein, Tauberian and other theorems concerning Dirichlet's series with non-negative coefficients. Math. Proc. Cambridge Philos. Soc.102, 517–532 (1987).

    Google Scholar 

  3. D. Borwein andB. Watson, Tauberian theorems on Abel-type summability methods. J. Reine Angew. Math.298, 1–7 (1978).

    Google Scholar 

  4. G. H.Hhardy, Divergent Series. Oxford 1949.

  5. B. H. Korenblum, On the asymptotic behaviour of Laplace integrals near the boundary of a region of convergence. Dok. Akad. Nauk. SSSR (N.S.)104, 173–176 (1955).

    Google Scholar 

  6. M. S. Rangachari, Tauberian oscillation theorems for the summability methods of the Hardy family. Indian J. Math.22, 225–243 (1980).

    Google Scholar 

  7. H.Tietz, Schmidtsche Umkehrbedingungen für Potenzreihenverfahren. To appear.

  8. H. Tietz andR. Trautner, Tauber-Sätze für Potenzreihenverfahren. Arch. Math.50, 164–174 (1988).

    Google Scholar 

  9. T. Vijayaraghavan, A Tauberian theorem. J. London Math. Soc.1, 113–120 (1926).

    Google Scholar 

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  1. David Borwein

    Present address: Department of Mathematics, The University of Western Ontario, N6A 5B7, London, Ontario, Canada

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    1. David Borwein
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    Borwein, D. Tauberian theorems concerning Laplace transforms and Dirichlet series. Arch. Math 53, 352–362 (1989). https://doi.org/10.1007/BF01195215

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