×
Guivarc’h, Yves

Croissance polynômiale et périodes des fonctions harmoniques. (French) Zbl 0294.43003

Bull. Soc. Math. Fr. 101, 333-379 (1973).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0294.43003

Cited in 4 Reviews
Cited in 145 Documents

MSC:

43A05 Measures on groups and semigroups, etc.
22D05 General properties and structure of locally compact groups
22E25 Nilpotent and solvable Lie groups
43A07 Means on groups, semigroups, etc.; amenable groups
Cite Review PDF
Full Text: DOI Numdam EuDML

References:

[1] ARNOLD (V. I.) et KRYLOV (A. L.) . - Uniform distribution of points on a sphere... , Sov. Math. Dokl., t. 4, 1963 , p. 1-5. Zbl 0237.34008 · Zbl 0237.34008
[2] AUSLANDER (L.) et GREEN (L. W.) . - G-induced flows , Amer. J. Math., t. 88, 1966 , p. 43-60. MR 33 #7456 | Zbl 0149.19903 · Zbl 0149.19903 · doi:10.2307/2373046
[3] AUSLANDER (L.) et MOORE (C. C.) . - Unitary representations of solvable Lie groups . - Providence, American mathematical Society, 1966 (Memoirs of the American mathematical Society, 62). MR 34 #7723 | Zbl 0204.14202 · Zbl 0204.14202
[4] AZENCOTT (R.) . - Espaces de Poisson des groupes localement compacts . - Berlin, Springer-Verlag, 1970 (Lectures Notes in Mathematics, 148). Zbl 0208.15302 · Zbl 0208.15302
[5] CHOQUET (G.) et DENY (J.) . - Sur l’équation de convolution \mu = \mu \bigstar \sigma , C. R. Acad. Sc. Paris, t. 250, 1960 , p. 799-801. MR 22 #9808 | Zbl 0093.12802 · Zbl 0093.12802
[6] FELL (J. M. G.) . - Weak containment and induced representations of groups , Canad. J. Math., t. 14, 1962 , p. 237-268. MR 27 #242 | Zbl 0138.07301 · Zbl 0138.07301 · doi:10.4153/CJM-1962-016-6
[7] FURSTENBERG (H.) . - A Poisson formula for semi-simple Lie groups , Annals of Math., séries 2, t. 77, 1963 , p. 335-386. MR 26 #3820 | Zbl 0192.12704 · Zbl 0192.12704 · doi:10.2307/1970220
[8] GRENANDER (U.) . - Probabilities on algebraic structures . - New York, J. Wiley, 1963 . MR 34 #6810 | Zbl 0131.34804 · Zbl 0131.34804
[9] GROSSER (S.) et MOSKOWITZ (M.) . - Compactness conditions in topological groups , J. für reine und angew. Math., t. 246, 1970 , p. 1-40. MR 44 #1766 | Zbl 0219.22011 · Zbl 0219.22011 · doi:10.1515/crll.1971.246.1
[10] GUICHARDET (A.) . - Analyse harmonigue commutative . - Paris, Dunod, 1968 (Monographies universitaires de Mathématiques, 26). Zbl 0159.18601 · Zbl 0159.18601
[11] GUIVARC’H (Y.) . - Un théorème de von Neumann , C. R. Acad. Sc. Paris, t. 268, série A, 1969 , p. 1020-1023. MR 40 #4422 | Zbl 0176.11703 · Zbl 0176.11703
[12] GUIVARC’H (Y.) et KEANE (M.) . - Marches aléatoires sur les groupes nilpotents , C. R. Acad. Sc. Paris, t. 272, série A, 1971 , p. 1462-1463. MR 43 #6960 | Zbl 0217.49702 · Zbl 0217.49702
[13] HALMOS (P. R.) . - Introduction to Hilbert space... . - New York, Chelsea Publishing Company, 1957 . · Zbl 0079.12404
[14] MACBEATH (A. M.) et SWIERCZKOWSKI (S.) . - On the set of generators of a sub-group , Indag. Math., t. 21, 1959 , p. 280-281. MR 21 #5690 | Zbl 0118.26503 · Zbl 0118.26503
[15] MALCEV (A. I.) . - On a class of homogeneous spaces , ”Lie groups”, p. 276-307. - Providence American mathematical Society, 1962 (American mathematical Society Translations, series 1, vol. 9). MR 26 #1254
[16] MILNOR (J.) . - Growth of finitely generated solvable groups , J. diff. Geom., t. 2, 1968 , p. 447-449. MR 39 #6212 | Zbl 0176.29803 · Zbl 0176.29803
[17] MOSTOW (G. D.) . - Factor spaces of solvable Lie groups , Annals of Math., series 2, t. 60, 1954 , p. 1-27. MR 15,853g | Zbl 0057.26103 · Zbl 0057.26103 · doi:10.2307/1969700
[18] MOSTOW (G. D.) . - Homogeneous spaces with finite invariant measure , Annals of Math., Séries 2, t. 75, 1962 , p. 17-37. MR 26 #2546 | Zbl 0115.25702 · Zbl 0115.25702 · doi:10.2307/1970416
[19] MOSTOW (G. D.) . - Some applications of representative functions to solv-manifolds , Amer. J. Math., t. 93, 1971 , p. 11-32. MR 44 #1049 | Zbl 0228.22015 · Zbl 0228.22015 · doi:10.2307/2373444
[20] ROBERTSON (L. C.) . - A note on the structure of Moore groups , Bull. Amer. math. Soc., t. 75, 1969 , p. 594-599. Article | MR 39 #7027 | Zbl 0202.02901 · Zbl 0202.02901 · doi:10.1090/S0002-9904-1969-12252-4
[21] SPITZER (F.) . - Principles of random walks . - New York, D. Van Nostrand, 1964 (University Series in higher Mathematics). MR 30 #1521 | Zbl 0119.34304 · Zbl 0119.34304
[22] STAM (A. J.) . - On shifting iterated convolutions , I, Compositio Mathematica, t. 17, 1966 , p. 268-280. Numdam | MR 34 #6835 | Zbl 0214.43704 · Zbl 0214.43704
[23] WANG (H. C.) . - Discrete subgroups of solvable Lie groups , Annals of Math., séries 2, t. 64, 1956 , p. 1-19. MR 17,1224c | Zbl 0073.25803 · Zbl 0073.25803 · doi:10.2307/1969948
[24] WANG (H. C.) . - On the deformations of lattice in a Lie group , Amer. J. Math., t. 85, 1963 , p. 189-212. MR 27 #2582 | Zbl 0199.06703 · Zbl 0199.06703 · doi:10.2307/2373209
[25] WEIL (A.) . - L’intégration dans les groupes topologiques et ses applications . 2e éd. - Paris, Hermann, 1951 (Act. scient. et ind., 869-1145 ; Publ. Inst. Math. Univ. Strasbourg, 4).
[26] WOLF (J. A.) . - Growth of finitely generated solvable groups and curvature of riemannian manifolds , J. diff. Geom., t. 2, 1968 , p. 421-446. MR 40 #1939 | Zbl 0207.51803 · Zbl 0207.51803
[27] Communication orale , UER Mathématiques et Informatique, Rennes, 1970 .
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.