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
DOI: https://doi.org/10.1090/S0002-9939-1953-0056734-5
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 15122
  • [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 50656
  • [7] Edwin Hewitt, Remarks on the inversion of Fourier-Stieltjes transforms, Ann. of Math. (2) 57 (1953), 458–474. MR 54768, https://doi.org/10.2307/1969730
  • [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), 157–161. MR 36943
  • [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

DOI: https://doi.org/10.1090/S0002-9939-1953-0056734-5
Article copyright: © Copyright 1953 American Mathematical Society