List of recent publications for Judith A. Packer

• "Quantum Heisenberg manifolds as twisted groupoid C*-algebras" (with S. Kang and A. Kumjian), accepted for publication, Journal of Mathematical Analysis and Applications.
• "Explicit construction of equivalence bimodules between noncommutative solenoids" (with F. Latremoliere), accepted for publication, Contemporary Mathematics.
• "Noncommutative solenoids and their projective modules" (with F. Latremoliere), Contemporary Mathematics, v. 603 (2013), pp. 35-53.
• "Noncommutative solenoids" (with F. Latremoliere), accepted by New York Journal of Mathematics. Click HERE to download a copy in pdf format.
• "Probability measures on solenoids corresponding to fractal wavelets" (with L. Baggett, K. Merrill, and A. Ramsay), Transactions of the American Mathematical Society 364 (2012) 2723-2748. Click HERE to download a copy in pdf format.
• "Classification of generalized multiresolution analyses" (with L. Baggett, V. Furst, and K. Merrill), Journal of Functional Analysis, 258 (2010), 4210-4228.
• "Direct limits, multiresolution analyses, and wavelets" (with L. Baggett, N. Larsen, I. Raeburn, and A. Ramsay), Journal of Functional Analysis, 258 (2010), 2714-2738.
• "Generalized filters, the low-pass condition, and connections to multiresolution analyses" (with L. Baggett, V. Furst, and K. Merrill), Journal of Functional Analysis, 257 (2009), 2760–2779.
• "Generalized multiresolution analyses with given multiplicity functions" (with L. Baggett, N. Larsen, K. Merrill, and I. Raeburn), Journal of Fourier Analysis and Applications, 15 (2009), 616-633.
• "A survey of projective multi-resolution analyses, and a projective multi-resolution analysis corresponding to the quincunx lattice", in "Representations, Wavelets, and Frames: A Celebration of the Mathematical Work of Lawrence W. Baggett", (P.E.T. Jorgensen, K.D. Merrill, J.A. Packer, eds.), Boston: Birkhauser, 2008, pp. 239-272. Click HERE to download a copy in pdf format.
• "Fractal wavelets of Dutkay-Jorgensen type for the Sierpinski gasket space", (with Jonas D'Andrea and Kathy Merrill), Contemporary Mathematics, v. 451, (2008), pp. 69-88. Click HERE to download a copy in pdf format.
• "Projective representations and the Mackey obstruction - a survey", Contemporary Mathematics, v. 449 (2008), pp. 345-378.
• "A non-MRA C^r frame wavelet with rapid decay", (with Lawrence Baggett, Kathy Merrill, and Palle Jorgensen), Acta Applicandae Mathematicae 89 (2006), 251-270.
• "Construction of Parseval wavelets from redundant filter systems", (with L. Baggett, P. Jorgensen, and K. Merrill), J. Math. Physics, 46, 083502 (2005).
• "Projective multiresolution analyses for dilations in higher dimensions," J. Operator Theory 57 (2007), 147-172.
• "Projective multiresolution analyses for L^2(R^2)," (with M.A. Rieffel), J. Fourier Analysis and Applications, 10 (2004), 439-464.
• "Analogs of Brattelli-Jorgensen loop group actions for GMRAs," (with L. Baggett, P. Jorgensen, and K. Merrill), Contemporary Mathematics v. 345, (2004), p. 11-25.
• "Applications of the work of Stone and von Neumann to the theory of wavelets", Contemporary Mathematics v. 365, (2004), pp. 253-279.
• "Wavelet filter functions, the matrix completion problem, and projective modules over C(T^n)" (with M.A. Rieffel), J. Fourier Analysis and Applications, 9 (2003), 101-116.
• " A direct integral decomposition of the wavelet representation", (with L.H. Lim and K. Taylor), Proc. Amer. Math. Soc., 129 (2001), 3057-3067.

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  Last Modified: January 16, 2002