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Spectral synthesis in L2(G) Molitor-Braun, Carine ; ; Pusti, Sanjoy in Colloquium Mathematicum (2015), 138(1), 89104 Detailed reference viewed: 18 (1 UL)The C*-algebras of connected real two-step nilpotent Lie groups Günther, Janne-Kathrin ; in Revista Matemática Complutense (2015) Using the operator valued Fourier transform, the C*-algebras of connected real two-step nilpotent Lie groups are characterized as algebras of operator fields defined over their spectra. In particular, it ... [more ▼] Using the operator valued Fourier transform, the C*-algebras of connected real two-step nilpotent Lie groups are characterized as algebras of operator fields defined over their spectra. In particular, it is shown by explicit computations, that the Fourier transform of such C*-algebras fulfills the norm controlled dual limit property. [less ▲] Detailed reference viewed: 110 (7 UL)The C*-algebras of connected real two-step nilpotent Lie groups Günther, Janne-Kathrin ; E-print/Working paper (2014) Using the operator valued Fourier transform, the C*-algebras of connected real two-step nilpotent Lie groups are characterized as algebras of operator fields defined over their spectra. In particular, it ... [more ▼] Using the operator valued Fourier transform, the C*-algebras of connected real two-step nilpotent Lie groups are characterized as algebras of operator fields defined over their spectra. In particular, it is shown by explicit computations, that the Fourier transform of such C*-algebras fulfills the norm controlled dual limit property. [less ▲] Detailed reference viewed: 54 (8 UL)Spectral synthesis for flat orbits in the dual space of weighted group algebras of nilpotent Lie groups ; Molitor-Braun, Carine ; in Transactions of the American Mathematical Society (2013), 365(8), 4433-4473 Detailed reference viewed: 92 (6 UL)Flat orbits, minimal ideals and spectral synthesis ; Molitor-Braun, Carine in Monatshefte für Mathematik (2010), 160(3), 271-312 Detailed reference viewed: 68 (4 UL)The Paley-Wiener theorem for certain nilpotent Lie groups ; Molitor-Braun, Carine in Mathematische Nachrichten (2009), 282(10), 1423-1442 Detailed reference viewed: 84 (1 UL)Spanning L² of a nilpotent Lie group by eigenvectors of invariant differential operators ; Molitor-Braun, Carine ; in Mathematische Zeitschrift (2008), 260(4), 717-753 Detailed reference viewed: 79 (5 UL)On Fourier's inversion theorem in the context of nilpotent Lie groups ; Molitor-Braun, Carine ; in Acta Scientiarum Mathematicarum (2007), 73(3-4), 547-591 Detailed reference viewed: 84 (0 UL)Le problème des diviseurs de zéro pour les groupes de Lie nilpotents ; ; Molitor-Braun, Carine in Comptes Rendus. Mathématique (2006), 342(6), 399-404 Detailed reference viewed: 62 (0 UL)Fine Disintegration of the Left Regular Representation ; Molitor-Braun, Carine in Journal of Algebra & Its Applications (2005), 4(6), 683-706 Detailed reference viewed: 101 (0 UL)Functional calculus in weighted group algebras ; ; Molitor-Braun, Carine in Revista Matemática Complutense (2004), 17(2), 321-357 Detailed reference viewed: 65 (0 UL)Characterization of the simple L¹(G) -modules for exponential Lie groups ; ; Molitor-Braun, Carine in Pacific Journal of Mathematics (2003), 212(1), 133-156 Detailed reference viewed: 77 (1 UL)Proceedings of the Conference on Harmonic Analysis 2002 ; ; Molitor-Braun, Carine et al Book published by Faculty of Science, Technology and Communication, University of Luxembourg (2003) Detailed reference viewed: 40 (0 UL)Weighted Group Algebras on Groups of Polynomial Growth ; ; et al in Mathematische Zeitschrift (2003), 245(4), 791-821 Detailed reference viewed: 70 (1 UL)Représentations irréductibles bornées des groupes de Lie exponentiels ; Molitor-Braun, Carine in Canadian Journal of Mathematics (2001), 53(5), 944-978 Detailed reference viewed: 61 (0 UL)Exponential actions, orbits and their kernels ; Molitor-Braun, Carine in Bulletin of the Australian Mathematical Society (1998), 57 Detailed reference viewed: 93 (0 UL)A Restriction Theorem for Ideals in the Schwartz Algebra of a Nilpotent Lie Group ; Molitor-Braun, Carine in Archiv der Mathematik [=ADM] (1996), 67(3), 199-210 Detailed reference viewed: 67 (0 UL)Algèbre de Schwartz d'un groupe de Lie nilpotent ; Molitor-Braun, Carine in Travaux Mathématiques (1995), 7 Detailed reference viewed: 49 (0 UL)Spectral synthesis in $L^2(G)$ ; Molitor-Braun, Carine ; Pusti, Sanjoy in Preprint (n.d.) For locally compact, second countable, type I groups $G$, we characterize all closed (two-sided) translation invariant subspaces of $L^2(G)$. We establish a similar result for $K$-biinvariant $L^2 ... [more ▼] For locally compact, second countable, type I groups $G$, we characterize all closed (two-sided) translation invariant subspaces of $L^2(G)$. We establish a similar result for $K$-biinvariant $L^2$-functions ($K$ a fixed maximal compact subgroup) in the context of semisimple Lie groups. [less ▲] Detailed reference viewed: 66 (0 UL) |
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