Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Difference properties for continuity and Riemann integrability on locally compact groups


Author: F. W. Carroll
Journal: Trans. Amer. Math. Soc. 102 (1962), 284-292
MSC: Primary 39.10; Secondary 22.60
DOI: https://doi.org/10.1090/S0002-9947-1962-0133612-4
MathSciNet review: 0133612
Full-text PDF Free Access

References | Similar Articles | Additional Information

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

  • N. Bourbaki, Eléments de mathématique. XIII. Première partie: Les structures fondamentales de l’analyse. Livre VI: Intégration. Chapitre I: Inégalités de convexité. Chapitre II: Espaces de Riesz. Chapitre III: Mesures sur les espaces localement compacts. Chapitre IV: Prolongement d’une mesure; espaces $L^p$, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1175, Hermann et Cie, Paris, 1952 (French). MR 0054691
  • N. G. de Bruijn, Functions whose differences belong to a given class, Nieuw Arch. Wiskunde (2) 23 (1951), 194–218. MR 0043870
  • N. G. de Bruijn, A difference property for Riemann integrable functions and for some similar classes of functions, Nederl. Akad. Wetensch. Proc. Ser. A. 55 = Indagationes Math. 14 (1952), 145–151. MR 0047120
  • Irving Kaplansky, Infinite abelian groups, University of Michigan Press, Ann Arbor, 1954. MR 0065561
  • John L. Kelley, General topology, D. Van Nostrand Company, Inc., Toronto-New York-London, 1955. MR 0070144
  • J. H. B. Kemperman, A general functional equation, Trans. Amer. Math. Soc. 86 (1957), 28–56. MR 94610, DOI https://doi.org/10.1090/S0002-9947-1957-0094610-0
  • L. S. Pontrjagin, Topologische Gruppen. 2, B. G. Teubner Verlagsgesellschaft, Leipzig, 1958 (German). MR 0097456
  • A. Weil, L’intégration dans les groupes topologiques et ses applications, Actualités Sci. Ind. No. 869-1145, Hermann, Paris, 1953, p. 110.

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 39.10, 22.60

Retrieve articles in all journals with MSC: 39.10, 22.60


Additional Information

Article copyright: © Copyright 1962 American Mathematical Society