Kathy Merrill 

Professor
Emerita Department of Mathematics Colorado College Colorado Springs, CO 809033294 

43981 Road L,
Mancos, CO 81328 (719) 6612586 kmerrill@coloradocollege.edu 
Publications:
"Decomposing the wavelet representation for shifts by wallpaper groups,"
(with L. Baggett, J. Packer, K. Taylor), submitted for publication.
"Wavelet sets for crystallographic groups,"
to appear in JJBenedetto Jubilee, Birkhäuser, 2020.
Generalized Multiresolution Analyses
Birkhäuser Basel, 2018.
"Simple wavelet sets in R^{n},"
J. Geom. Anal. 25 (2015), 12951305.
"Simple wavelet sets for matrix dilations in R^{2},"
Num. Funct. Anal. Opt. 33 (2012), 11121125."Probability measures on solenoids corresponding to fractal wavelets,"
(with L. Baggett, J. Packer, A. Ramsay), Trans. Amer. Math. Soc. 364 (2012), 27232748.
"Classification of generalized multiresolution analyses,"
(with L. Baggett, V. Furst, J. Packer), J. Funct. Anal. 258 (2010), 42104228."Generalized filters, the lowpass condition, and connections to multiresolution analyses,"
(with L. Baggett, V. Furst, J. Packer), J. Funct. Anal. 257 (2009), 27602779."Generalized multiresolution analyses with given multiplicity functions,"
(with L. Baggett, N. Larsen, J. Packer, I Raeburn), J. Fourier Anal. Appl. 15 (2009), 616633."Smooth welllocalized Parseval wavelets based on wavelet sets in R^{2},"
Contemp. Math. 464 (2008), 161175.Representation, Wavelets and Frames: A Celebration of the Mathematical Work of
Lawrence Baggett, (coeditor with P. Jorgensen and J. Packer), Birkhäuser, Boston, 2008.
"Simple wavelet sets for scalar dilations in R^{2}, "
Representations, Wavelets and Frames: A Celebration of the Mathematical Work
of Lawrence Baggett, P. Jorgensen, K. Merrill and J. Packer, eds., Birkhauser, Boston, 2008, 177192."Fractal wavelets of DutkayJorgensen type for the Sierpinski gasket space,"
(with J. D'Andrea and J. Packer), Contemp. Math. 451 (2008), 6988.
A nonMRA C^{r} frame wavelet with rapid decay,”
(with L. Baggett, P. Jorgensen and J. Packer), Acta Appl. Math. 89 (2006), 251270.
"Construction of Parseval wavelets from redundant filter systems"
(with L. Baggett, P. Jorgensen and J. Packer), J. Math. Phys. 46 (August 2005).
"Constructing wavelets from generalized filters,"
European Women in MathematicsMarseille 2003, CWI Tract 135 (2005), 110.
“An analogue of the BratteliJorgensen loop group action for GMRA’s,”
(with L. Baggett, P. Jorgensen and J. Packer), Contemp. Math.. 345 (2004), 1125."The construction of wavelets from generalized conjugate mirror filters in L^{2}(R^{n}),"
(with L. Baggett and J. Courter), Appl. Comput. Harmon. Anal., 13 (2002), 201223.“Abstract harmonic analysis and wavelets in R^{n},”
(with L. Baggett), Contemp. Math., 247 (1999), 1727“Generalized multiresolution analyses, and a construction method for all wavelet sets in R^{n},”
(with L. Baggett and H. Medina), J. Fourier Anal. Appl., 5 (1999), 563573