Commutative subalgebra of $L^1 \left (G \right )$ associated with a subelliptic operator on a Lie group $G$
HTML articles powered by AMS MathViewer
- by A. Hulanicki PDF
- Bull. Amer. Math. Soc. 81 (1975), 121-124
References
- G. B. Folland, A fundamental solution for a subelliptic operator, Bull. Amer. Math. Soc. 79 (1973), 373–376. MR 315267, DOI 10.1090/S0002-9904-1973-13171-4
- G. B. Folland and E. M. Stein, Parametrices and estimates for the $\bar \partial _{b}$ complex on strongly pseudoconvex boundaries, Bull. Amer. Math. Soc. 80 (1974), 253–258. MR 344699, DOI 10.1090/S0002-9904-1974-13449-X
- Lars Gȧrding, Vecteurs analytiques dans les représentations des groups de Lie, Bull. Soc. Math. France 88 (1960), 73–93 (French). MR 119104, DOI 10.24033/bsmf.1544
- A. Hulanicki, Subalgebra of $L_{1}(G)$ associated with Laplacian on a Lie group, Colloq. Math. 31 (1974), 259–287. MR 372536, DOI 10.4064/cm-31-2-259-287
- J. W. Jenkins, Growth of connected locally compact groups, J. Functional Analysis 12 (1973), 113–127. MR 0349895, DOI 10.1016/0022-1236(73)90092-x
- A. W. Knapp and E. M. Stein, Intertwining operators for semisimple groups, Ann. of Math. (2) 93 (1971), 489–578. MR 460543, DOI 10.2307/1970887
- J. J. Kohn, Pseudo-differential operators and non-elliptic problems, Pseudo-Diff. Operators (C.I.M.E., Stresa, 1968) Edizioni Cremonese, Rome, 1969, pp. 157–165. MR 0259334
- J. J. Kohn and L. Nirenberg, Non-coercive boundary value problems, Comm. Pure Appl. Math. 18 (1965), 443–492. MR 181815, DOI 10.1002/cpa.3160180305
- A. Korányi and S. Vági, Singular integrals on homogeneous spaces and some problems of classical analysis, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3) 25 (1971), 575–648 (1972). MR 463513
- Edward Nelson, Analytic vectors, Ann. of Math. (2) 70 (1959), 572–615. MR 107176, DOI 10.2307/1970331
- Elias M. Stein, Topics in harmonic analysis related to the Littlewood-Paley theory. , Annals of Mathematics Studies, No. 63, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1970. MR 0252961
- E. M. Stein, Some problems in harmonic analysis suggested by symmetric spaces and semi-simple groups, Actes du Congrès International des Mathématiciens (Nice, 1970) Gauthier-Villars, Paris, 1971, pp. 173–189. MR 0578903
Additional Information
- Journal: Bull. Amer. Math. Soc. 81 (1975), 121-124
- MSC (1970): Primary 22E25, 43A70
- DOI: https://doi.org/10.1090/S0002-9904-1975-13664-0
- MathSciNet review: 0358229