On functions which are Fourier transforms
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- by R. E. Edwards PDF
- Proc. Amer. Math. Soc. 5 (1954), 71-78 Request permission
References
- I. E. Segal, The class of functions which are absolutely convergent Fourier transforms, Acta Sci. Math. (Szeged) 12 (1950), 157–161. MR 36943
- Edwin Hewitt, Representation of functions as absolutely convergent Fourier-Stieltjes transforms, Proc. Amer. Math. Soc. 4 (1953), 663–670. MR 56734, DOI 10.1090/S0002-9939-1953-0056734-5
- I. Gelfand and M. Neumark, On the imbedding of normed rings into the ring of operators in Hilbert space, Rec. Math. [Mat. Sbornik] N.S. 12(54) (1943), 197–213 (English, with Russian summary). MR 0009426 A. Zygmund, Trigonometrical series, Warsaw-Lwów, Monografje Matematyczne, 1935.
- Einar Hille and J. D. Tamarkin, On the summability of fourier series. III, Math. Ann. 108 (1933), no. 1, 525–577. MR 1512863, DOI 10.1007/BF01452851 F. Carlson, Une inégalité, Arkiv för Matematik, Astronomi och Fysik vol. 25B (1934) pp. 1-5. A. Beurling, Sur les intégrales de Fourier absolument convergentes et leur application à une transformation fonctionelle, Proc. 9th Scand. Math. Congress 1938, Helsingfors, 1939, pp. 345-366.
Additional Information
- © Copyright 1954 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 5 (1954), 71-78
- MSC: Primary 46.3X
- DOI: https://doi.org/10.1090/S0002-9939-1954-0060158-5
- MathSciNet review: 0060158