Bibliographie
Anker, J.-Ph.,Contenance faible au sens de Fell et moyennabilité. Travail de diplôme, Université de Lausanne (1978).
Anker, J.-Ph.,Induced intertwining operators and multipliers. Abstracts Amer. Math. Soc.2 (1981), 303.
Anker, J.-Ph. Aspects de la p-induction en analyse harmonique. Thèse de doctorat, Payot Lausanne (1982).
Barut, A. O. andRaczka, R.,Theory of group representations and applications. PWN-Polish Scientific Publishers, Warszawa (1977).
Bourbaki, N.,Intégration, ch. IV. 2e édition, Hermann (1965).
Coifman, R. R. andWeiss, G.,Transference methods in analysis. Regional conference series Amer. Math. Soc.31 (1977).
Cowling, M. G.,The Kunze-Stein phenomenon. Ann. of Math.107 (1978), 209–234.
De Leeuw, K.,On L p multipliers. Ann. of Math.81 (1965), 364–372.
Derighetti, A.,Relations entre les convoluteurs d’un groupe localement compact et ceux d’un sous-groupe fermé. Bull. Sc. Math., 2e série,106 (1982), 69–84.
Derighetti, A.,A propos des convoluteurs d’un groupe quotient. Bull. Sc. Math., 2e série,107 (1983), 3–23.
Eymard, P.,Algèbres de A p et convoluteurs de L p. Séminaire Bourbaki (Novembre 1969), Springer Lecture Notes in Math.180 (1971), 57–71.
Eymard, P.,Moyennes Invariantes et Représentations Unitaires. Springer Lecture Notes in Math.300 (1972).
Eymard, P. etLohoue, N.,Sur la racine carrée du noyau de Poisson dans les espaces symétriques et une conjecture de E. M. Stein. Ann. Sci. Ecole Norm. Sup., 4e série,8 (1975), 179–188.
Fell, J. M. G.,The dual space of C *-algebras. Trans. Amer. Math. Soc.94 (1960), 365–403.
Fell, J. M. G.,Weak containment and induced representations of groups. Can. J. Math.14 (1962), 257–268.
Fell, J. M. G.,Induced representations and Banach *-algebraic bundles. Springer Lecture Notes in Math.582 (1977).
Fontenot, R. A. andSchochetman, I. E.,Induced representations of groups on Banach spaces. Rocky Mountain J. of Math.7 (1977), 53–82.
Greenleaf, F. P.,Invariant means on topological groups and their applications. Van Nostrand (1968).
Helgason, S. andJohnson, K.,The bounded Spherical Functions on Symmetric Spaces. Advances in Math.3 (1969), 586–593.
Herz, C. S.,Sur le phénomène de Kunze-Stein. C.R. Acad. Sci. Paris, Série A,271 (1970), 491–493.
Herz, C. S.,The theory of p-spaces with an application to convolution operators. Trans. Amer. Math. Soc.154 (1971), 69–82.
Herz, C. S.,Problems of extrapolation and spectral synthesis on groups. Springer Lecture Notes in Math.266 (1972), 155–166.
Herz, C. S.,Harmonic synthesis for subgroups. Ann. Inst. Fourier (Grenoble)23 (1973), 91–123.
Kraljevič, H.,Induced representations of groups on Banach spaces. Glasnik Math.4 (1969), 183–196.
Lohoue, N.,Algèbres A p (G) et convoluteurs de L p (G). Thèse d’Etat, Université de Paris-Sud (Orsay) (1971).
Lohoue, N.,Sur les convoluteurs de L p (G). C.R. Acad. Sci. Paris, Série A.278 (1974), 1543–1545.
Lohoue, N.,Estimations L p des coefficients de certaines représentations et opérateurs de convolution. Advances in Math.38 (1980), 178–221.
Mackey, G. W.,Induced representations of locally compact groups I. Ann. of Math.55 (1952), 101–139.
Reiter, H.,Classical harmonic analysis and locally compact groups. Oxford, University Press, (1968).
Saeki, S.,Translation invariant operators on groups. Tôhoku Math. J.22 (1970), 409–419.
Schochetman, I. E.,Integral operators in the theory of induced Banach representations. Memoirs Amer. Math. Soc.207 (1978).
Wallach, N. R.,Harmonic Analysis on Homogeneous Spaces. Marcel Dekker (1973).
Warner, G.,Harmonic Analysis on Semi-Simple Lie Groups, vol. I. Springer Grundlehren188 (1972).
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Extrait d’un travail de thèse à l’Université de Lausanne [3]
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Anker, JP. Applications de lap-induction en analyse harmonique. Commentarii Mathematici Helvetici 58, 622–645 (1983). https://doi.org/10.1007/BF02564657
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DOI: https://doi.org/10.1007/BF02564657