@incollection{JEDP_1995____A16_0,
author = {Stein, Elias M.},
title = {Spectral multipliers and multiple-parameter structures on the {Heisenberg} group},
booktitle = {},
series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
eid = {16},
pages = {1--15},
year = {1995},
publisher = {Ecole polytechnique},
doi = {10.5802/jedp.488},
mrnumber = {96k:22018},
zbl = {0876.43005},
language = {en},
url = {https://www.numdam.org/articles/10.5802/jedp.488/}
}
TY - JOUR AU - Stein, Elias M. TI - Spectral multipliers and multiple-parameter structures on the Heisenberg group JO - Journées équations aux dérivées partielles PY - 1995 SP - 1 EP - 15 PB - Ecole polytechnique UR - https://www.numdam.org/articles/10.5802/jedp.488/ DO - 10.5802/jedp.488 LA - en ID - JEDP_1995____A16_0 ER -
%0 Journal Article %A Stein, Elias M. %T Spectral multipliers and multiple-parameter structures on the Heisenberg group %J Journées équations aux dérivées partielles %D 1995 %P 1-15 %I Ecole polytechnique %U https://www.numdam.org/articles/10.5802/jedp.488/ %R 10.5802/jedp.488 %G en %F JEDP_1995____A16_0
Stein, Elias M. Spectral multipliers and multiple-parameter structures on the Heisenberg group. Journées équations aux dérivées partielles (1995), article no. 16, 15 p.. doi: 10.5802/jedp.488
[C] , Lp bounds for spectral multipliers on nilpotent groups, Trans. Amer. Math. Soc., 328, (1991), 73-81. | MR | Zbl
[CW] and , Transference methods in analysis, CBMS Survey, # 31, (1977). | MR | Zbl
[CZ] and , On the existence of certain singular integrals, Acta Math., 88, (1952), 85-139. | MR | Zbl
[FS] and , Singular integrals on product spaces, Adv. in Math., 45, (1982), 117-143. | MR | Zbl
[G] , Fourier analysis on the Heisenberg group, Proc. Nat. Acad. Sci., 74, (1977), 1328-1331. | MR | Zbl
[H] , Estimates for translation-invariant operators on Lp spaces, Acta Math., 104, (1960), 93-139. | Zbl
[He] , Multiplier theorems on generalized Heisenberg groups, Colloq. Math., 65, (1993), 231-239. | MR | Zbl
[Ma] , Sur les multiplicateurs des séries de Fourier, Studia Math., 8, (1939), 78-91. | MR | JFM | Zbl
[Mi] , On the multipliers of Fourier integrals, Dok. Akact. Nouk, 109, (1956), 701-703. | MR | Zbl
[MS] and , On spectral multipliers for Heisenberg and related groups, J. Math. Pures Appl., 73, (1994), 413-440. | MR | Zbl
[MRS1] , and , Marcinkiewicz multipliers and multiparameter structure on Heisenberg (-type) group, I, Invent. Math., 119, (1995), 199-233. | EuDML | Zbl
[MRS2] , and , Marcinkiewicz multipliers and multiparameter structure on Heisenberg (-type) group, II, Math. Zeitschrift, (to appear). | EuDML | Zbl
[P] , The Weyl transform and Laguerre polynomials, Le Math. (Catania), 27, (1972), 301-323. | MR | Zbl
[PS] and , Some further classes of pseudo-differential and singular integral operators arising in boundary-value problems, Amer. Jour. Math., 104, (1982), 141-172. | MR | Zbl
[S] , Singular integrals and differentiability properties of functions, Princeton University Press, 1970. | MR | Zbl
Cité par Sources :





