@article{BSMF_1994__122_2_209_0, author = {Alexopoulos, Georges and Lohou\'e, No\"el}, title = {Riesz means on Lie groups and riemannian manifolds of nonnegative curvature}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, volume = {122}, year = {1994}, pages = {209-223}, doi = {10.24033/bsmf.2229}, mrnumber = {95h:43011}, zbl = {0832.22014}, language = {en}, url = {http://dml.mathdoc.fr/item/BSMF_1994__122_2_209_0} }
Alexopoulos, Georgios; Lohoué, Noël. Riesz means on Lie groups and riemannian manifolds of nonnegative curvature. Bulletin de la Société Mathématique de France, Tome 122 (1994) pp. 209-223. doi : 10.24033/bsmf.2229. http://gdmltest.u-ga.fr/item/BSMF_1994__122_2_209_0/
[1] Spectral multipliers on Lie groups of polynomial growth, Proc. Amer. Math. Soc., (to appear). | Zbl 0794.43003
. -[2] Riesz means on Riemannian manifolds, Proc. Sympos. Pure Math., t. 36, 1980, p. 1-12. | MR 81f:58038 | Zbl 0443.58023
. -[3] Geometry of manifolds. - Academic Press, New York, 1964. | MR 29 #6401 | Zbl 0132.16003
and . -[4] The structure of complete manifolds of nonnegative curvature, Bull. Amer. Math. Soc., t. 74, 6, 1968, p. 413-443. | MR 38 #635 | Zbl 0169.24101
and . -[5] Finite propagation speed, kernel estimates for functions of the Laplace operator and the geometry of complete Riemannian manifolds, J. Differential Geom., t. 17, 1982, p. 15-53. | MR 84b:58109 | Zbl 0493.53035
, and . -[6] Lp bounds for spectral multipliers on nilpotent groups, Trans. Amer. Math. Soc., t. 328, 1, 1991, p. 73-81. | MR 92k:42017 | Zbl 0739.42010
. -[7] Weak type (1,1) bounds for rough operators, Ann. of Math. (2), t. 128, 1988, p. 19-42. | MR 89m:42013 | Zbl 0666.47027
. -[8] Weak type endpoint bounds for Bochner-Riesz operators, Rev. Mat. Iberoamericana, t. 3, 1987, p. 25-31. | MR 90i:42024 | Zbl 0726.42009
. -[9] Weak type L1 convergebce of eigenfunction expansions for pseudodifferential operators, Invent. Math., t. 94, 1988, p. 421-453. | MR 89j:35096 | Zbl 0678.35096
and . -[10] Sommes de Riesz et multiplicateurs sur un groupe de Lie compact, Ann. Inst. Fourier, t. 24, 1974, p. 149-172. | Numdam | MR 50 #14065 | Zbl 0273.22011
. -[11] Harmonic analysis on semigroups, Ann. of Math., t. 117, 1983, p. 267-283. | MR 84h:43004 | Zbl 0528.42006
. -[12] Gausian upper bounds for the heat kernels of some second order differential operators on Riemannian manifolds, J. Funct. Anal., t. 80, 1988, p. 16-32. | MR 90k:58213 | Zbl 0759.58045
. -[13] Lectures on Bochner-Riesz Means, London Mathematical Society Lecture Notes Series, vol. 114, Cambridge University Press. | MR 88m:42031 | Zbl 0629.42005
and . -[14] Hardy spaces on Homogeneous groups. - Princeton University Press, N.J., 1982. | MR 84h:43027 | Zbl 0508.42025
and . -[15] Almost everywhere convergence of Riesz means on certain noncompact symmetric spaces, Ann. Mat. Pura Appl. (6), t. CLIX, 1991, p. 357-369. | MR 93b:43008 | Zbl 0796.43007
and . -[16] Estimates for Riesz kernels of eigenfunction expansions of elliptic differential operators on compact manifolds, J. Funct. Anal., t. 96, 1991, p. 1-30. | MR 92i:58176 | Zbl 0726.58048
and . -[17] Croissance polynômiale et périodes de fonctions harmoniques, Bull. Soc. Math. France, t. 101, 1973, p. 149-152. | Numdam | MR 51 #5841 | Zbl 0294.43003
. -[18] On the Riesz means of spectral functions and eigenfunction expansions for elliptic differenrial operators, Some Recent Advances in the Basic Sciences, p. 155-202, Yeshiva University, New York, 1966.
. -[19] Almost everywhere summability on nilmanifolds, Trans. Amer. Math. Soc., t. 278, 1983, p. 703-715. | MR 85f:22011 | Zbl 0516.43010
and . -[20] On the parabolic kernel of the Schrödinger operator, Acta Math., t. 156, 1986, p. 153-201. | MR 87f:58156 | Zbl 0611.58045
and . -[21] Maximal operators and Riesz means on stratified groups, Sympos. Math., t. 29, 1984, p. 47-62. | MR 89j:22016 | Zbl 0659.22009
. -[22] Vector-valued multipliers on stratified groups, Rev. Mat. Iberoamericana, t. 6, 1990, p. 141-154. | MR 92j:42014 | Zbl 0763.43005
and . -[23] Propagation for the wave group of a positive subelliptic second order differential operator, Proceedings Tanigushi International Symposium, Katata and Kyoto, S. Mizohata ed., 1984, p. 181-192. | MR 89h:35177 | Zbl 0696.35064
. -[24] Balls and metrics defined by vector fields I : Basic properties, Acta Math., t. 155, 1985, p. 103-147. | MR 86k:46049 | Zbl 0578.32044
, and . -[25] Endpoint estimates for multiplier transformations on compact manifolds, Indiana Univ. Math. J., t. 40, 2, 1991, p. 471-533. | MR 92f:58166 | Zbl 0737.42012
. -[26] On the convergence of Riesz means on compact manifolds, Ann. of Math. (2), t. 126, 1987, p. 439-447. | MR 89b:35126 | Zbl 0653.35068
. -[27] Localization and summability of multiple Fourier series, Acta Math., t. 100, 1958, p. 93-147. | MR 21 #4331 | Zbl 0085.28401
. -[28] Topics in Harmonic Analysis. - Princeton University Press, N.J., 1970. | Zbl 0193.10502
. -[29] Introduction to Fourier Analysis on Euclidean Spaces. - Princeton University Press, Princeton, 1971. | MR 46 #4102 | Zbl 0232.42007
and . -[30] Analysis on Lie groups, J. Funct. Anal., t. 76, 2, 1988, p. 346-410. | MR 89i:22018 | Zbl 0634.22008
. -[31] Small time gaussian estimates of heat diffusion kernels, part I : The semigroup technique, Bull. Sci. Math. (2), t. 113, 1989, p. 253-277. | Zbl 0703.58052
. -[32] Small time gaussian estimates of heat diffusion kernels, part II : The theory of large deviations, J. Funct. Anal., t. 93, 1, 1990, p. 1-33. | Zbl 0712.58056
. -[33] Analysis and Geometry on Groups. - Cambridge Tracts in Mathematics.
, and . -[34] Functional Analysis. - Springer-Verlag, 1978. | MR 58 #17765
. -