Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Representation of functions as absolutely convergent Fourier-Stieltjes transforms

Author: Edwin Hewitt
Journal: Proc. Amer. Math. Soc. 4 (1953), 663-670
MSC: Primary 42.4X
MathSciNet review: 0056734
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] Hirotada Anzai and Shizuo Kakutani, Bohr compactifications of a locally compact Abelian group. I, Proc. Imp. Acad. Tokyo 19 (1943), 476–480. MR 0015122
  • [2] Stefan Banach, Théorie des opérations linéaires, Monografje Matematyczne, Warsaw, 1932.
  • [3] Henri Cartan and Roger Godement, Théorie de la dualité et analyse harmonique dans les groupes abéliens localement compacts, Ann. Sci. École Norm. Sup. (3) 64 (1947), 79–99 (French). MR 0023241
  • [4] Paul R. Halmos, Measure Theory, D. Van Nostrand Company, Inc., New York, N. Y., 1950. MR 0033869
  • [5] G. H. Hardy and W. W. Rogosinski, Fourier Series, Cambridge Tracts in Mathematics and Mathematical Physics, no. 38, Cambridge University Press, 1944. MR 0010206
  • [6] Edwin Hewitt, Integration on locally compact spaces. I, Univ. Washington Publ. Math. 3 (1952), 71–75. MR 0050656
  • [7] Edwin Hewitt, Remarks on the inversion of Fourier-Stieltjes transforms, Ann. of Math. (2) 57 (1953), 458–474. MR 0054768,
  • [8] G. Ya. Lyubarskiĭ, On the integration in the mean of almost periodic functions on topological groups, Uspehi Matem. Nauk (N.S.) 3 (1948), no. 3(25), 195–201 (Russian). MR 0026054
  • [9] Wilhelm Maak, Fastperiodische Funktionen, Die Grundlehren der Mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Band LXI, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1950 (German). MR 0041961
  • [10] I. E. Segal, The class of functions which are absolutely convergent Fourier transforms, Acta Sci. Math. Szeged 12 (1950), no. Leopoldo Fejér et Frederico Riesz LXX annos natis dedicatus, Pars B, 157–161. MR 0036943
  • [11] André Weil, L'intégration dans les groupes topologiques et ses applications, Paris, Hermann, 1940.

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 42.4X

Retrieve articles in all journals with MSC: 42.4X

Additional Information

Article copyright: © Copyright 1953 American Mathematical Society