$L_{p}$ Fourier transforms on locally compact unimodular groups
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- by R. A. Kunze
- Trans. Amer. Math. Soc. 89 (1958), 519-540
- DOI: https://doi.org/10.1090/S0002-9947-1958-0100235-1
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References
- A. P. CalderĂłn 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. 166â188. MR 0037395
- J. Dixmier, Formes linĂ©aires sur un anneau dâopĂ©rateurs, Bull. Soc. Math. France 81 (1953), 9â39 (French). MR 59485, DOI 10.24033/bsmf.1436
- I. E. Segal, An extension of Plancherelâs formula to separable unimodular groups, Ann. of Math. (2) 52 (1950), 272â292. MR 36765, DOI 10.2307/1969470
- I. E. Segal, A non-commutative extension of abstract integration, Ann. of Math. (2) 57 (1953), 401â457. MR 54864, DOI 10.2307/1969729
Bibliographic Information
- © Copyright 1958 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 89 (1958), 519-540
- MSC: Primary 46.00
- DOI: https://doi.org/10.1090/S0002-9947-1958-0100235-1
- MathSciNet review: 0100235