A note on generalized Tauberian theorems
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- by C. T. Rajagopal PDF
- Proc. Amer. Math. Soc. 2 (1951), 335-349 Request permission
Addendum: Proc. Amer. Math. Soc. 3 (1952), 457-458.
References
- J. Karamata, Über die $O$-inversionssätze der Limitierungsverfahren, Math. Z. 37 (1933), no. 1, 582–588 (German). MR 1545418, DOI 10.1007/BF01474598
- S. Minakshi Sundaram, On generalised Tauberian theorems, Math. Z. 45 (1939), 495–506. MR 306, DOI 10.1007/BF01580296
- C. T. Rajagopal, A note on the oscillation of Riesz means of any order, J. London Math. Soc. 21 (1946), 275–282 (1947). MR 21601, DOI 10.1112/jlms/s1-21.4.275
- C. T. Rajagopal, A note on “positive” Tauberian theorems, J. London Math. Soc. 25 (1950), 315–327. MR 38457, DOI 10.1112/jlms/s1-25.4.315 V. Ramaswami, The generalized Abel-Tauber theorem, Proc. London Math. Soc. (2) vol. 41 (1936) pp. 408-417. O. Szász, Über einige Sätze von Hardy und Littlewood, Nachr. Ges. Wiss. Göttingen (1930) pp. 315-333.
- Otto Szász, Converse theorems of summability for Dirichlet’s series, Trans. Amer. Math. Soc. 39 (1936), no. 1, 117–130. MR 1501837, DOI 10.1090/S0002-9947-1936-1501837-3 D. V. Widder, The Laplace transform, Princeton Mathematical Series, no. 6, 1946.
Additional Information
- © Copyright 1951 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 2 (1951), 335-349
- MSC: Primary 40.0X
- DOI: https://doi.org/10.1090/S0002-9939-1951-0041954-4
- MathSciNet review: 0041954