Literaturverzeichnis
D. A. Edwards, On absolutely convergent Dirichlet series. Proc. Amer. Math. Soc.8, 1067–1074 (1957).
R. E.Edwards, Fourier Series, Vol. I and II. New York 1967.
I. M. Gelfand, Über absolut konvergente trigonometrische Reihen und Integrale. Rec. Math. (Mat. Sbornik) N. S. vol.9, 51–66 (1941).
G. H.Hardy and E. M.Weight, An introduction to the theory of numbers. Oxford 1954 (3rd edition).
E.Heppner undW. Schwarz, Benachbarte multiplikative Funktionen, erscheint im Gedenkband für Professor Dr. Paul Turán, Budapest.
E. Hewitt andJ. H. Williamson, Note on absolutely convergent Dirichlet series. Proc. Amer. Math. Soc.8, 863–868 (1957).
A. E.Ingham, On absolutely convergent Dirichlet series. Studies in Math. Analysis and Related Topics. Essays in Honor of G. Pólya, 156–164. Stanford Calif. 1962.
P. Lévy, Sur la convergence absolue des séries de Fourier. C. R. Acad. Sci. Paris196, 463–464 (1933).
—, Compositio Math.1, 1–14 (1934).
L. H.Loomis, An introduction to abstract harmonic analysis, New York 1953.
D. J. Newman, A simple proof of Wiener's 1/f theorem. Proc. Amer. Math. Soc.48, 264–265 (1975).
W.Rudin, Functional Analysis. New York 1973.
B. Saffari, On the asymptotic density of sets of integers. J. London Math. Society (2)13, 475–485 (1976).
N.Wiener, The Fourier integral and certain of its applications. Cambridge University Press 1933.
N. Wiener, Tauberian Theorems. Annals of Math.33, 1–100 (1932).
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Wir danken Herrn Dr. M. Neumann (Saarbrücken) für kritische Durchsicht und den Hinweis auf ein Übersehen in einer früheren Fassung.
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Spilker, J., Schwarz, W. Wiener-Lévy-Sätze für absolut konvergente Reihen. Arch. Math 32, 267–275 (1979). https://doi.org/10.1007/BF01238499
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DOI: https://doi.org/10.1007/BF01238499