Pacific Journal of Mathematics

On some group algebra modules related to Wiener's algebra $M_{1}$.

Teng Sun Liu, Ju Kwei Wang, and Arnoud van Rooij

Article information

Pacific J. Math., Volume 55, Number 2 (1974), 507-520.

First available in Project Euclid: 8 December 2004

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 43A15: $L^p$-spaces and other function spaces on groups, semigroups, etc.


Liu, Teng Sun; van Rooij, Arnoud; Wang, Ju Kwei. On some group algebra modules related to Wiener's algebra $M_{1}$. Pacific J. Math. 55 (1974), no. 2, 507--520.

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  • [1] J. Dieudonne, Elementsd'analyse,II, Gauthier-Villars, Paris, 1968.
  • [2] S. L. Gulick, T.-S. Liu and A. C. M. van Rooij, Group algebra modules, HI, Trans. Amer. Math. Soc, 152 (1970), 581-596.
  • [3] E. Hewitt and K. A. Ross, Abstract HarmonicAnalysis,Springer-Verlag, Berlin- Heidelberg, I, 1963; II, 1970.
  • [4] T.-S. Liu, A. C. M. van Rooij and J.-K. Wang, Group representationsinBanach spaces; orbits and almost-periodicity,Studies and Essays Presented to Yu-Why Chen on His Sixtieth Birthday, Mathematics Research Center, Taipei, 1970, pp. 243-254.
  • [5] H. Reiter, Classical Fourier Analysisand Locally Compact Groups, Oxford Uni- versity Press, Oxford, 1968.
  • [6] M. A. Rieffel, Induced Banach representationsof Banach algebras and locally compact groups, J. Functional Anal., 1 (1967), 443-491.
  • [7] N. Wiener, The FourierIntegral and Certain of its Applications,Cambridge University Press, Cambridge, England, 1933.
  • [8] A. Zygmund, TrigonometricSeries, I, Cambridge University Press, Cambridge, England, 1959.