Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Extension of uniform measures
HTML articles powered by AMS MathViewer

by Errol Caby PDF
Proc. Amer. Math. Soc. 89 (1983), 433-439 Request permission

Abstract:

Necessary and sufficient conditions for a uniform measure to have a tight extension are presented. From these results, conditions for the factors of a tight measure to be also tight are derived.
References
  • Albert Badrikian and Simone Chevet, Mesures cylindriques, espaces de Wiener et fonctions aléatoires Gaussiennes, Lecture Notes in Mathematics, Vol. 379, Springer-Verlag, Berlin-New York, 1974 (French). MR 0420760
  • E. Caby, Convergence of measures on uniform spaces, Thesis, Univ. of California, 1976.
  • Errol Caby, The weak convergence of uniform measures, J. Multivariate Anal. 9 (1979), no. 1, 130–137. MR 530644, DOI 10.1016/0047-259X(79)90071-X
  • I. Csiszár and Balram S. Rajput, A convergence of types theorem for probability measures on topological vector spaces with applications to stable laws, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 36 (1976), no. 1, 1–7. MR 420761, DOI 10.1007/BF00533204
  • R. M. Dudley, Jacob Feldman, and L. Le Cam, On seminorms and probabilities, and abstract Wiener spaces, Ann. of Math. (2) 93 (1971), 390–408. MR 279272, DOI 10.2307/1970780
  • D. H. Fremlin, D. J. H. Garling, and R. G. Haydon, Bounded measures on topological spaces, Proc. London Math. Soc. (3) 25 (1972), 115–136. MR 344405, DOI 10.1112/plms/s3-25.1.115
  • Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. Vol. I, 2nd ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 115, Springer-Verlag, Berlin-New York, 1979. Structure of topological groups, integration theory, group representations. MR 551496
  • L. LeCam, Note on a certain class of measures, unpublished.
  • L. Le Cam, Remarques sur le théorème limite central dans les espaces localement convexes, Les probabilités sur les structures algébriques (Actes Colloq. Internat. CNRS, No. 186, Clermont-Ferrand, 1969) Éditions Centre Nat. Recherche Sci., Paris, 1970, pp. 233–249 (French, with English summary). Avec commentaire en anglais par R. M. Dudley. MR 0410832
  • A. Tortrat, Structure des lois indéfiniment divisibles $(\mu \,\in \,{\cal I}={\cal I}(X))$ dans un espace vectoriel topologique (séparé) $X$, Symposium on Probability Methods in Analysis (Loutraki, 1966) Springer, Berlin, 1967, pp. 299–328 (French). MR 0226692
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 28C15, 46G12
  • Retrieve articles in all journals with MSC: 28C15, 46G12
Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 89 (1983), 433-439
  • MSC: Primary 28C15; Secondary 46G12
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0715861-6
  • MathSciNet review: 715861