Spectral synthesis for flat orbits in the dual space of weighted group algebras of nilpotent Lie groups

Ludwig J, Molitor-Braun C, Poguntke D (2013)
Transactions Of The American Mathematical Society 365(8): 4433-4473.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Ludwig, Julia; Molitor-Braun, Carine; Poguntke, DetlevUniBi
Abstract / Bemerkung
Let G = exp(g) be a connected, simply connected, nilpotent Lie group and let omega be a continuous symmetric weight on G with polynomial growth. We determine the structure of all the two-sided closed ideals of the weighted group algebra L-omega(1)(G) which are attached to a flat co-adjoint orbit.
Stichworte
orbit; flat; co-adjoint orbit; Nilpotent Lie group; irreducible representation; spectral synthesis; minimal ideal; weighted group algebra
Erscheinungsjahr
2013
Zeitschriftentitel
Transactions Of The American Mathematical Society
Band
365
Ausgabe
8
Seite(n)
4433-4473
ISSN
0002-9947
Page URI
https://pub.uni-bielefeld.de/record/2642166

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Ludwig J, Molitor-Braun C, Poguntke D. Spectral synthesis for flat orbits in the dual space of weighted group algebras of nilpotent Lie groups. Transactions Of The American Mathematical Society. 2013;365(8):4433-4473.
Ludwig, J., Molitor-Braun, C., & Poguntke, D. (2013). Spectral synthesis for flat orbits in the dual space of weighted group algebras of nilpotent Lie groups. Transactions Of The American Mathematical Society, 365(8), 4433-4473. https://doi.org/10.1090/S0002-9947-2012-05802-8
Ludwig, J., Molitor-Braun, C., and Poguntke, D. (2013). Spectral synthesis for flat orbits in the dual space of weighted group algebras of nilpotent Lie groups. Transactions Of The American Mathematical Society 365, 4433-4473.
Ludwig, J., Molitor-Braun, C., & Poguntke, D., 2013. Spectral synthesis for flat orbits in the dual space of weighted group algebras of nilpotent Lie groups. Transactions Of The American Mathematical Society, 365(8), p 4433-4473.
J. Ludwig, C. Molitor-Braun, and D. Poguntke, “Spectral synthesis for flat orbits in the dual space of weighted group algebras of nilpotent Lie groups”, Transactions Of The American Mathematical Society, vol. 365, 2013, pp. 4433-4473.
Ludwig, J., Molitor-Braun, C., Poguntke, D.: Spectral synthesis for flat orbits in the dual space of weighted group algebras of nilpotent Lie groups. Transactions Of The American Mathematical Society. 365, 4433-4473 (2013).
Ludwig, Julia, Molitor-Braun, Carine, and Poguntke, Detlev. “Spectral synthesis for flat orbits in the dual space of weighted group algebras of nilpotent Lie groups”. Transactions Of The American Mathematical Society 365.8 (2013): 4433-4473.

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