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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

$ L\sb{p}$ Fourier transforms on locally compact unimodular groups


Author: R. A. Kunze
Journal: Trans. Amer. Math. Soc. 89 (1958), 519-540
MSC: Primary 46.00
MathSciNet review: 0100235
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References [Enhancements On Off] (What's this?)

  • [1] A. P. Calderon and A. Zygmund, On the theorem of Hausdorff-Young and its extensions; Contributions to Fourier Analysis, Princeton, 1950. MR 0037395 (12:255e)
  • [2] J. Dixmier, Formes linéaires sur un anneau d'operateurs, Bull. Soc. Math. France vol. 81 (1953) pp. 9-39. MR 0059485 (15:539a)
  • [3] I. E. Segal, An extension of Plancherel's formula to separable unimodular groups, Ann. of Math. vol. 52 (1950) pp. 272-292. MR 0036765 (12:157f)
  • [4] -, A noncommutative extension of abstract integration, Ann. of Math. vol. 57 (1953) pp. 401-457. MR 0054864 (14:991f)

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DOI: http://dx.doi.org/10.1090/S0002-9947-1958-0100235-1
PII: S 0002-9947(1958)0100235-1
Article copyright: © Copyright 1958 American Mathematical Society