Fundamental solutions and harmonic analysis on nilpotent groups
HTML articles powered by AMS MathViewer
- by A. Nagel, F. Ricci and E. M. Stein PDF
- Bull. Amer. Math. Soc. 23 (1990), 139-144
References
- G. B. Folland, Subelliptic estimates and function spaces on nilpotent Lie groups, Ark. Mat. 13 (1975), no. 2, 161–207. MR 494315, DOI 10.1007/BF02386204
- G. B. Folland and E. M. Stein, Estimates for the $\bar \partial _{b}$ complex and analysis on the Heisenberg group, Comm. Pure Appl. Math. 27 (1974), 429–522. MR 367477, DOI 10.1002/cpa.3160270403
- Daryl Geller, Liouville’s theorem for homogeneous groups, Comm. Partial Differential Equations 8 (1983), no. 15, 1665–1677. MR 729197, DOI 10.1080/03605308308820319
- Roe W. Goodman, Nilpotent Lie groups: structure and applications to analysis, Lecture Notes in Mathematics, Vol. 562, Springer-Verlag, Berlin-New York, 1976. MR 0442149, DOI 10.1007/BFb0087594
- Lars Hörmander, Hypoelliptic second order differential equations, Acta Math. 119 (1967), 147–171. MR 222474, DOI 10.1007/BF02392081
- Andrzej Hulanicki and Joe W. Jenkins, Nilpotent Lie groups and summability of eigenfunction expansions of Schrödinger operators, Studia Math. 80 (1984), no. 3, 235–244. MR 783992, DOI 10.4064/sm-80-3-235-244
- A. Nagel, F. Ricci, and E. M. Stein, Harmonic analysis and fundamental solutions on nilpotent Lie groups, Analysis and partial differential equations, Lecture Notes in Pure and Appl. Math., vol. 122, Dekker, New York, 1990, pp. 249–275. MR 1044793
- Alexander Nagel, Elias M. Stein, and Stephen Wainger, Balls and metrics defined by vector fields. I. Basic properties, Acta Math. 155 (1985), no. 1-2, 103–147. MR 793239, DOI 10.1007/BF02392539
- F. Ricci and E. M. Stein, Oscillatory singular integrals and harmonic analysis on nilpotent groups, Proc. Nat. Acad. Sci. U.S.A. 83 (1986), no. 1, 1–3. MR 822187, DOI 10.1073/pnas.83.1.1
- Fulvio Ricci and Elias M. Stein, Harmonic analysis on nilpotent groups and singular integrals. II. Singular kernels supported on submanifolds, J. Funct. Anal. 78 (1988), no. 1, 56–84. MR 937632, DOI 10.1016/0022-1236(88)90132-2
- Linda Preiss Rothschild and E. M. Stein, Hypoelliptic differential operators and nilpotent groups, Acta Math. 137 (1976), no. 3-4, 247–320. MR 436223, DOI 10.1007/BF02392419
- N. Th. Varopoulos, Analysis on nilpotent groups, J. Funct. Anal. 66 (1986), no. 3, 406–431. MR 839109, DOI 10.1016/0022-1236(86)90066-2
Additional Information
- Journal: Bull. Amer. Math. Soc. 23 (1990), 139-144
- MSC (1985): Primary 35A08, 22E25, 42B70
- DOI: https://doi.org/10.1090/S0273-0979-1990-15920-8
- MathSciNet review: 1026972