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)



Integration of vector-valued pseudo-almost periodic functions

Author: Chuan Yi Zhang
Journal: Proc. Amer. Math. Soc. 121 (1994), 167-174
MSC: Primary 43A60; Secondary 28B05, 46G10
MathSciNet review: 1186140
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A necessary and sufficient condition is given to show that the indefinite integral of a vector-valued pseudo-almost periodic function is again pseudo-almost periodic. Then we use this result to answer a question about weakly almost periodic functions.

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

  • John F. Berglund, Hugo D. Junghenn, and Paul Milnes, Analysis on semigroups, Canadian Mathematical Society Series of Monographs and Advanced Texts, John Wiley & Sons, Inc., New York, 1989. Function spaces, compactifications, representations; A Wiley-Interscience Publication. MR 999922
  • C. Corduneanu, Almost periodic functions, Chelsea, New York, 1989.
  • K. de Leeuw and I. Glicksberg, Applications of almost periodic compactifications, Acta Math. 105 (1961), 63–97. MR 131784, DOI
  • M. I. Kadec, The integration of almost periodic functions with values in a Banach space, Funkcional. Anal. i Priložen. 3 (1969), no. 3, 71–74 (Russian). MR 0251452
  • W. M. Ruess and W. H. Summers, Integration of asymptotically almost periodic functions and weak asymptotic almost periodicity, Dissertationes Math. (Rozprawy Mat.) 279 (1989), 38. MR 986113
  • S. Zaidman, Almost-periodic functions in abstract spaces, Research Notes in Mathematics, vol. 126, Pitman (Advanced Publishing Program), Boston, MA, 1985. MR 790316
  • C. Zhang, Pseudo almost periodic functions and their applications, thesis, University of Western Ontario, 1992.

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 43A60, 28B05, 46G10

Retrieve articles in all journals with MSC: 43A60, 28B05, 46G10

Additional Information

Keywords: Almost periodic functions, pseudo-almost periodic functions, integral
Article copyright: © Copyright 1994 American Mathematical Society