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Fundamental solutions and harmonic analysis on nilpotent groups
Author(s):
A.
Nagel;
F.
Ricci;
E. M.
Stein
Journal:
Bull. Amer. Math. Soc.
23
(1990),
139-144.
MSC (1985):
Primary 35A08, 22E25, 42B70
MathSciNet review:
1026972
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References |
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Additional information
References:
- [F] G.B. Folland, Sub-elliptic estimates and function spaces on nilpotent groups, Ark. Mat. 13 (1975), 161-207. MR 494315
- [FoS] G.B. Folland and E.M. Stein, Estimates for the $\bar \partial \sbb$ complex and analysis of the Heisenberg group, Comm. Pure Appl. Math. 27 (1974), 429-522. MR 367477
- [Ge] D. Geiler, Liouville's theorem for homogeneous groups, Comm. Partial Differential Equations 15 (1983), 1665-1677. MR 729197
- [Go] R. Goodman, Nilpotent lie groups, Lecture Notes in Math., vol. 562, Springer-Verlag, New York, 1976. MR 442149
- [H] L. Hörmander, Hypoelliptic second order differential equations, Acta Math. 119(1967), 147-171. MR 222474
- [HuJ] A. Hulanicki and J. Jenkins, Nilpotent Lie groups and summability of eigenfunction expansions of Schrödinger operators, Studia Math. 80 (1984), 235-244. MR 783992
- [NRS] A. Nagel, F. Ricci and E.M. Stein, Harmonic analysis and fundamental solutions on nilpotent Lie groups, in Festshrift in honor of Mischa Cotlar (to appear). MR 1044793
- [NSW] A. Nagel, E.M. Stein and S. Wainger, Balls and metrics defined by vector fields, Acta Math. 155 (1985), 103-147. MR 793239
- [RiS1] R. Ricci and E.M. Stein, Oscillatory singular integrals and harmonic analysis on nilpotent groups, Proc. Nat. Acad. Sci. U.S.A. 83 (1986), 1-3. MR 822187
- [RiS2] F. Ricci and E.M. Stein, Harmonic analysis on nilpotent groups and singular integralsII, J. Funct. Anal. 78 (1988), 56-84. MR 937632
- [RoS] L. Rothschild and E.M. Stein, Hypoelliptic differential operators and nilpotent groups, Acta Math. 137 (1976), 247-320. MR 436223
- [V] N. Varopolous, J. Funct. Anal. 66 (1986), 406-431. MR 839109
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Additional Information:
DOI:
10.1090/S0273-0979-1990-15920-8
PII:
S 0273-0979(1990)15920-8
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