Project Euclid

References

• [1] H. Byczkowska and A. Hulanicki, On the support of the measures in a semigroup of probability measures on a locally compact group, Martingale theory in harmonic analysis and Banach spaces (Cleveland, Ohio, 1981), Lecture Notes in Math., vol. 939, Springer, Berlin, 1982, pp. 13–17.
  Mathematical Reviews (MathSciNet): MR84a:60016
  Zentralblatt MATH: 0488.60014
  Digital Object Identifier: doi:10.1007/BFb0096255
  
• [2] M. Christ and D. Geller, Singular integral characterizations of Hardy spaces on homogeneous groups, Duke Math. J. 51 (1984), no. 3, 547–598.
  Mathematical Reviews (MathSciNet): MR86g:43007a
  Zentralblatt MATH: 0601.43003
  Digital Object Identifier: doi:10.1215/S0012-7094-84-05127-5
  Project Euclid: euclid.dmj/1077303949
  
• [3] W. Cupala, Certain Schrödinger operators as images of sublaplacians on nilpotent Lie groups, Ph.D. thesis, Institute of Mathematics, Polish Academy of Sciences, 1984.
• [4] M. Duflo, Représentations de semi-groupes de mesures sur un groupe localement compact, Ann. Inst. Fourier (Grenoble) 28 (1978), no. 3, xii, 225–249.
  Mathematical Reviews (MathSciNet): MR80e:43002
  Zentralblatt MATH: 0368.22006
  
• [5] C. L. Fefferman, The uncertainty principle, Bull. Amer. Math. Soc. (N.S.) 9 (1983), no. 2, 129–206.
  Mathematical Reviews (MathSciNet): MR85f:35001
  Zentralblatt MATH: 0526.35080
  Digital Object Identifier: doi:10.1090/S0273-0979-1983-15154-6
  Project Euclid: euclid.bams/1183551116
  
• [6] G. B. Folland, Subelliptic estimates and function spaces on nilpotent Lie groups, Ark. Mat. 13 (1975), no. 2, 161–207.
  Mathematical Reviews (MathSciNet): MR58:13215
  Zentralblatt MATH: 0312.35026
  Digital Object Identifier: doi:10.1007/BF02386204
  
• [7] G. B. Folland and E. M. Stein, Hardy spaces on homogeneous groups, Mathematical Notes, vol. 28, Princeton University Press, Princeton, N.J., 1982.
  Mathematical Reviews (MathSciNet): MR84h:43027
  Zentralblatt MATH: 0508.42025
  
• [8] P. Głowacki, Stable semigroups of measures on the Heisenberg group, Studia Math. 79 (1984), no. 2, 105–138.
  Mathematical Reviews (MathSciNet): MR86g:43003
  Zentralblatt MATH: 0563.43002
  
• [9] P. Głowacki, Stable semigroups of measures as commutative approximate identities on nongraded homogeneous groups, Invent. Math. 83 (1986), no. 3, 557–582.
  Mathematical Reviews (MathSciNet): MR87i:43010
  Zentralblatt MATH: 0595.43006
  Digital Object Identifier: doi:10.1007/BF01394423
  
• [10] P. Głowacki, The Rockland condition for nondifferential convolution operators. II, Studia Math. 98 (1991), no. 2, 99–114.
  Mathematical Reviews (MathSciNet): MR92c:43001
  Zentralblatt MATH: 0737.43002
  
• [11] P. Głowacki and A. Hulanicki, A semigroup of probability measures with nonsmooth differentiable densities on a Lie group, Colloq. Math. 51 (1987), 131–139.
  Mathematical Reviews (MathSciNet): MR88i:22023
  Zentralblatt MATH: 0629.43001
  
• [12] B. Helffer and F. Nourrigat, Hypoellipticité pour des groupes nilpotents de rang de nilpotence $3$, Comm. Partial Differential Equations 3 (1978), no. 8, 643–743.
  Mathematical Reviews (MathSciNet): MR81d:35016
  Zentralblatt MATH: 0385.35015
  Digital Object Identifier: doi:10.1080/03605307808820075
  
• [13] B. Helffer and J. Nourrigat, Caracterisation des opérateurs hypoelliptiques homogènes invariants à gauche sur un groupe de Lie nilpotent gradué, Comm. Partial Differential Equations 4 (1979), no. 8, 899–958.
  Mathematical Reviews (MathSciNet): MR81i:35034
  Zentralblatt MATH: 0423.35040
  Digital Object Identifier: doi:10.1080/03605307908820115
  
• [14] H. Heyer, Probability measures on locally compact groups, Springer-Verlag, Berlin, 1977.
  Mathematical Reviews (MathSciNet): MR58:18648
  Zentralblatt MATH: 0376.60002
  
• [15] A. Hulanicki, A class of convolution semigroups of measures on a Lie group, Probability theory on vector spaces, II (Proc. Second Internat. Conf., Błażejewko, 1979), Lecture Notes in Math., vol. 828, Springer, Berlin, 1980, pp. 82–101.
  Mathematical Reviews (MathSciNet): MR82g:43004
  Zentralblatt MATH: 0462.28009
  
• [16] A. Hulanicki and J. W. Jenkins, Nilpotent Lie groups and summability of eigenfunction expansions of Schrödinger operators, Studia Math. 80 (1984), no. 3, 235–244.
  Mathematical Reviews (MathSciNet): MR86h:22014
  Zentralblatt MATH: 0564.43007
  
• [17] A. Hulanicki and J. W. Jenkins, Nilpotent Lie groups and eigenfunction expansions of Schrödinger operators. II, Studia Math. 87 (1987), no. 3, 239–252.
  Mathematical Reviews (MathSciNet): MR89f:22015
  Zentralblatt MATH: 0654.43004
  
• [18] G. A. Hunt, Semi-groups of measures on Lie groups, Trans. Amer. Math. Soc. 81 (1956), 264–293.
  Mathematical Reviews (MathSciNet): MR18,54a
  Zentralblatt MATH: 0073.12402
  Digital Object Identifier: doi:10.2307/1992917
  JSTOR: links.jstor.org
  
• [19] A. Janssen, Charakterisierung stetiger Faltungshalbgruppen durch das Lévy-Maß, Math. Ann. 246 (1979/80), no. 3, 233–240.
  Mathematical Reviews (MathSciNet): MR81d:60006
  Zentralblatt MATH: 0407.60005
  Digital Object Identifier: doi:10.1007/BF01371044
  
• [20] A. A. Kirillov, Unitary representations of nilpotent Lie groups, Uspehi Mat. Nauk 17 (1962), no. 4 (106), 57–110.
  Mathematical Reviews (MathSciNet): MR25:5396
  Zentralblatt MATH: 0106.25001
  
• [21] A. Melin, Parametrix constructions for right invariant differential operators on nilpotent groups, Ann. Global Anal. Geom. 1 (1983), no. 1, 79–130.
  Mathematical Reviews (MathSciNet): MR86f:58154
  Zentralblatt MATH: 0524.58044
  Digital Object Identifier: doi:10.1007/BF02329740
  
• [22] L. Pukanszky, On the theory of exponential groups, Trans. Amer. Math. Soc. 126 (1967), 487–507.
  Mathematical Reviews (MathSciNet): MR35:301
  Zentralblatt MATH: 0207.33605
  Digital Object Identifier: doi:10.2307/1994311
  JSTOR: links.jstor.org
  
• [23] C. Rockland, Hypoellipticity on the Heisenberg group-representation-theoretic criteria, Trans. Amer. Math. Soc. 240 (1978), 1–52.
  Mathematical Reviews (MathSciNet): MR58:6071
  Zentralblatt MATH: 0326.22007
  Digital Object Identifier: doi:10.2307/1998805
  
• [24] E. Siebert, Absolute continuity, singularity, and supports of Gauss semigroups on a Lie group, Monatsh. Math. 93 (1982), no. 3, 239–253.
  Mathematical Reviews (MathSciNet): MR83m:60018
  Zentralblatt MATH: 0477.60008
  Digital Object Identifier: doi:10.1007/BF01299300
  
• [25] K. Yosida, Functional analysis, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 123, Springer-Verlag, Berlin, 1980.
  Mathematical Reviews (MathSciNet): MR82i:46002
  Zentralblatt MATH: 0435.46002