A Paley-Wiener theorem for nilpotent Lie groups. (Un théorème de Paley-Wiener pour les groupes de Lie nilpotents.)
Garimella, Gayatri (1995)
Journal of Lie Theory
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Garimella, Gayatri (1995)
Journal of Lie Theory
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H. Hueber (1985)
Mathematische Zeitschrift
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J. W. Jenkins (1979)
Colloquium Mathematicae
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Irene Venturi (2009)
Rendiconti del Seminario Matematico della Università di Padova
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Niels Vigand Pedersen (1994)
Inventiones mathematicae
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Francesca Astengo, Bianca di Blasio (1999)
Colloquium Mathematicae
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Let N be an H-type group and consider its one-dimensional solvable extension NA, equipped with a suitable left-invariant Riemannian metric. We prove a Paley-Wiener theorem for nonradial functions on NA supported in a set whose boundary is a horocycle of the form Na, a ∈ A.
N.J. Wildberger (1989)
Inventiones mathematicae
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Jean Ludwig, G. Rosenbaum, J. Samuel (1986)
Inventiones mathematicae
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Baklouti, A., Ludwig, J. (1999)
Journal of Lie Theory
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Jacek Cygan (1979)
Studia Mathematica
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Mihai Sabac (1996)
Collectanea Mathematica
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In what follows we shall describe, in terms of some commutation properties, a method which gives nilpotent elements. Using this method we shall describe the irreducibility for Lie algebras which have Levi-Malçev decomposition property.
Peyman Niroomand (2011)
Open Mathematics
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Let L be an n-dimensional non-abelian nilpotent Lie algebra and where M(L) is the Schur multiplier of L. In [Niroomand P., Russo F., A note on the Schur multiplier of a nilpotent Lie algebra, Comm. Algebra (in press)] it has been shown that s(L) ≥ 0 and the structure of all nilpotent Lie algebras has been determined when s(L) = 0. In the present paper, we will characterize all finite dimensional nilpotent Lie algebras with s(L) = 1; 2.
Schneider, Csaba (2005)
Experimental Mathematics
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