References
Berg, I. D., andA. Wilansky: Periodic, almost-periodic and semiperiodic sequences. Michigan Math. J.9, 363–367 (1962).
—— The algebra of semiperiodic sequences. Michigan Math. J.10, 237–239 (1963).
Cohn, J. H. E.: On some problems of P. Vermes. Publ. math. Inst. Hungar. Acad. Sci., Ser. A6, 373–374 (1961).
Eberlein, W. F.: A note on Fourier-Stieltjes transforms. Proc. Am. Math. Soc.6, 310–312 (1955).
Goes, G.:BK-Räume und Matrixtransformationen für Fourierkoeffizienten. Math. Z.70, 345–371 (1959).
—— Komplementäre Fourierkoeffizientenräume und Multiplikatoren. Math. Ann.137, 371–384 (1959).
Helson, H.: Note on harmonic functions. Proc. Am. Math. Soc.4, 686–691 (1953).
—— On a theorem of Szegö. Proc. Am. Math. Soc.6, 235–242 (1955).
Hewitt, E.: Representation of functions as absolutely convergent Fourier-Stieltjes transforms. Proc. Am. Math. Soc.4, 663–670 (1953).
Köthe, G.: Topologische lineare Räume I. Berlin-Göttingen-Heidelberg: Springer 1960.
Rudin, W.: Fourier analysis on groups. New York: Interscience 1962
Vermes, P.: Infinite matrices summing every periodic sequence. Proc. Kon. Nederl. Akad. v. Wetensch.A 58, 627–633 (1955).
—— Transformations of periodic sequences. Publ. math. Inst. Hung. Acad. Sci., Ser. A5, 153–163 (1960).
Zeller, K.: Allgemeine Eigenschaften von Limitierungsverfahren. Math. Z.53, 463–487 (1951).
—— Theorie der Limitierungsverfahren. Berlin-Göttingen-Heidelberg: Springer 1958.
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Supported in part by NSF Grant GP-4660.
Part of this paper was presented on March 14, 1966 at theCalderón-Zygmund analysis seminar at the University of Chicago.
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Goes, G. Fourier-Stieltjes transforms of discrete measures; periodic and semiperiodic functions. Math. Ann. 174, 148–156 (1967). https://doi.org/10.1007/BF01360815
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DOI: https://doi.org/10.1007/BF01360815