Note on absolutely convergent Dirichlet series

Note on absolutely convergent Dirichlet series
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Proc. Amer. Math. Soc. 8 (1957), 863-868

DOI: https://doi.org/10.1090/S0002-9939-1957-0090680-X

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References

Über die Bedeutung der Potenzreihen unendlich vieler Variabeln in der Theorie der Dirichletschen Reihen

I. Gelfand, Über absolut konvergente trigonometrische Reihen und Integrale, Rec. Math. [Mat. Sbornik] N.S. 9 (51) (1941), 51–66 (German, with Russian summary). MR 0004727
G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, Oxford, at the Clarendon Press, 1954. 3rd ed. MR 0067125
Edwin Hewitt and Herbert S. Zuckerman, Harmonic analysis for certain semigroups, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 253–255. MR 80257, DOI 10.1073/pnas.42.5.253
Edwin Hewitt and Herbert S. Zuckerman, The $l_1$-algebra of a commutative semigroup, Trans. Amer. Math. Soc. 83 (1956), 70–97. MR 81908, DOI 10.1090/S0002-9947-1956-0081908-4
Einar Hille, The inversion problem of Möbius, Duke Math. J. 3 (1937), no. 4, 549–568. MR 1546010, DOI 10.1215/S0012-7094-37-00344-2

Über den Wertevorrat von

in der Halbebene

Lynn H. Loomis, An introduction to abstract harmonic analysis, D. Van Nostrand Co., Inc., Toronto-New York-London, 1953. MR 0054173
R. S. Phillips, Spectral theory for semi-groups of linear operators, Trans. Amer. Math. Soc. 71 (1951), 393–415. MR 44737, DOI 10.1090/S0002-9947-1951-0044737-9
Yu. A. Šreĭder, The structure of maximal ideals in rings of measures with convolution, Mat. Sbornik N.S. 27(69) (1950), 297–318 (Russian). MR 0038567
Norbert Wiener, The Fourier integral and certain of its applications, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1988. Reprint of the 1933 edition; With a foreword by Jean-Pierre Kahane. MR 983891, DOI 10.1017/CBO9780511662492