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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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  • [1] A. P. Calderón and A. Zygmund, On the theorem of Hausdorff-Young and its extensions, Contributions to Fourier Analysis, Annals of Mathematics Studies, no. 25, Princeton University Press, Princeton, N. J., 1950, pp. 166–188. MR 0037395
  • [2] J. Dixmier, Formes linéaires sur un anneau d’opérateurs, Bull. Soc. Math. France 81 (1953), 9–39 (French). MR 0059485
  • [3] I. E. Segal, An extension of Plancherel’s formula to separable unimodular groups, Ann. of Math. (2) 52 (1950), 272–292. MR 0036765
  • [4] I. E. Segal, A non-commutative extension of abstract integration, Ann. of Math. (2) 57 (1953), 401–457. MR 0054864

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Article copyright: © Copyright 1958 American Mathematical Society