![]() 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: 162 (7 UL)![]() Molitor-Braun, Carine ![]() ![]() in Colloquium Mathematicum (2015), 138(1), 89104 Detailed reference viewed: 44 (2 UL)![]() 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: 75 (8 UL)![]() ; Molitor-Braun, Carine ![]() in Transactions of the American Mathematical Society (2013), 365(8), 4433-4473 Detailed reference viewed: 129 (6 UL)![]() ; Molitor-Braun, Carine ![]() in Monatshefte für Mathematik (2010), 160(3), 271-312 Detailed reference viewed: 136 (4 UL)![]() ; Molitor-Braun, Carine ![]() in Mathematische Nachrichten (2009), 282(10), 1423-1442 Detailed reference viewed: 180 (1 UL)![]() ; Molitor-Braun, Carine ![]() in Mathematische Zeitschrift (2008), 260(4), 717-753 Detailed reference viewed: 118 (5 UL)![]() ; Molitor-Braun, Carine ![]() in Acta Scientiarum Mathematicarum (2007), 73(3-4), 547-591 Detailed reference viewed: 127 (0 UL)![]() ; ; Molitor-Braun, Carine ![]() in Comptes Rendus. Mathématique (2006), 342(6), 399-404 Detailed reference viewed: 93 (0 UL)![]() ; Molitor-Braun, Carine ![]() in Journal of Algebra and Its Applications (2005), 4(6), 683-706 Detailed reference viewed: 158 (1 UL)![]() ; ; Molitor-Braun, Carine ![]() in Revista Matemática Complutense (2004), 17(2), 321-357 Detailed reference viewed: 94 (0 UL)![]() ; ; Molitor-Braun, Carine ![]() Book published by Faculty of Science, Technology and Communication, University of Luxembourg (2003) Detailed reference viewed: 59 (1 UL)![]() ; ; et al in Mathematische Zeitschrift (2003), 245(4), 791-821 Detailed reference viewed: 103 (1 UL)![]() ; ; Molitor-Braun, Carine ![]() in Pacific Journal of Mathematics (2003), 212(1), 133-156 Detailed reference viewed: 115 (1 UL)![]() ; Molitor-Braun, Carine ![]() in Canadian Journal of Mathematics (2001), 53(5), 944-978 Detailed reference viewed: 91 (0 UL)![]() ; Molitor-Braun, Carine ![]() in Bulletin of the Australian Mathematical Society (1998), 57 Detailed reference viewed: 153 (0 UL)![]() ; Molitor-Braun, Carine ![]() in Archiv der Mathematik [=ADM] (1996), 67(3), 199-210 Detailed reference viewed: 103 (0 UL)![]() ; Molitor-Braun, Carine ![]() in Travaux Mathématiques (1995), 7 Detailed reference viewed: 98 (0 UL)![]() ; Molitor-Braun, Carine ![]() ![]() in Colloquium Mathematicum (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: 170 (6 UL) |
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