Résumé
Soit G un groupe localement compact. On étudie une sous-algèbre de CV p(G) qui pour G abélien et p=2 coïncide avec les convoluteurs dont la transformée de Fourier est continue.
Keywords
- Localement Compact
- Donne Lieu
- Nous Utiliserons
- Quelques Observation
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Bibliographie
ANKER, J.-PH.: Applications de la p-induction en analyse harmonique. Comment. Math. Helv. 58 (1983) 622–645.
BUCK, R.C.: Bounded continuous functions on a locally compact space. Michigan Math. J. 5 (1958) 95–104.
COWLING, M.: An application of Littlewood-Paley theory in harmonic analysis. Math. Ann. 241 (1979) 83–96.
DERIGHETTI, A.: A propos des convoluteurs d'un groupe quotient. Bull. Sc. Math., 2 e série, 107 (1983) 3–23.
DERIGHETTI, A.: Quelques observations concernant les ensembles de Ditkin d'un groupe localement compact. Mh. Math. 101 (1986) 95–113.
FENDLER, G.: An L p-version of a theorem of D.A. Raikov. Ann. Inst. Fourier (1)35 (1985) 125–135.
GRANIRER, E.E.: Density theorems for some linear subspaces and some C*-subalgebras of V N (G). Symposia Mathematica XXII(1977) 61–70.
GRANIRER, E.E.: On some spaces of linear functionals on the algebras A p(G) for locally compact groups. Colloq. Math. LII (1987) 119–132.
HERZ, C.S.: The spectral theory of bounded functions. Trans. Amer. Math. Soc. 94 (1960) 181–232.
HERZ, C.S.: Harmonic synthesis for subgroups. Ann. Inst. Fourier (3)23 (1973) 91–123.
HERZ, C.S.: Une généralisation de la notion de transformée de Fourier-Stieltjes. Ann. Inst. Fourier (3)24 (1974) 145–157.
HERZ, C.S.: Asymmetry of norms of convolution operators II: nilpotent Lie groups. Symposia Mathematica XXII (1977) 223–230.
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© 1988 Springer-Verlag
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Delaporte, J. (1988). Convoluteurs continus et topologie stricte. In: Eymard, P., Pier, JP. (eds) Harmonic Analysis. Lecture Notes in Mathematics, vol 1359. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086594
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DOI: https://doi.org/10.1007/BFb0086594
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