Kathy Merrill


Professor Emerita
Department of Mathematics
Colorado College
Colorado Springs, CO 80903-3294
43981 Road L, Mancos, CO 81328
(719) 661-2586
kmerrill@coloradocollege.edu




MA 204  Block 8 2016


Recent Publications:

"Simple wavelet sets in Rn,"
    J. Geom. Anal. 25 (2015), 1295-1305.
"Simple wavelet sets for matrix dilations in R2,"
    Num. Funct. Anal. Opt. 33 (2012), 1112-1125.

"Probability measures on solenoids corresponding to fractal wavelets,"
    (with L. Baggett, J. Packer, A. Ramsay), Trans. Amer. Math. Soc. 364 (2012), 2723-2748.

"Classification of generalized multiresolution analyses,"
    (with L. Baggett, V. Furst, J. Packer), J. Funct. Anal. 258 (2010), 4210-4228.

"Generalized filters, the low-pass condition, and connections to multiresolution analyses,"
    (with L. Baggett, V. Furst, J. Packer), J. Funct. Anal. 257 (2009), 2760-2779.

"Generalized multiresolution analyses with given multiplicity functions,"
    (with L. Baggett, N. Larsen, J. Packer, I Raeburn), J. Fourier Anal. Appl. 15 (2009), 616-633.

"Smooth well-localized Parseval wavelets based on wavelet sets in R2,"
  
Contemp. Math. 464 (2008), 161-175.

Representation, Wavelets and Frames: A Celebration of the Mathematical Work of
    Lawrence Baggett
, (co-editor with P. Jorgensen and J. Packer), Birkhauser, Boston, 2008.


"Simple wavelet sets for scalar dilations in R2, " 
  
Representations, Wavelets and Frames: A Celebration of the Mathematical Work
    of Lawrence Baggett,
P. Jorgensen, K. Merrill and J. Packer, eds., Birkhauser, Boston, 2008, 177-192.

"Fractal wavelets of Dutkay-Jorgensen type for the Sierpinski gasket space,"
    (with J. D'Andrea and J. Packer), Contemp. Math. 451 (2008), 69-88.

A non-MRA Cr frame wavelet with rapid decay,”
      (with L. Baggett, P. Jorgensen and J. Packer),  Acta Appl. Math. 89 (2006), 251-270.

"
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 Mathematics--Marseille 2003, CWI Tract 135 (2005), 1-10.

An analogue of the Bratteli-Jorgensen loop group action for GMRA’s,”
      (with L. Baggett, P. Jorgensen and J. Packer),
Contemp. Math.. 345 (2004), 11-25.

 "The construction of wavelets from generalized conjugate mirror filters in L2(Rn),"
     
(with L. Baggett and J. Courter), Appl. Comput. Harmon. Anal., 13 (2002), 201-223.

“Abstract harmonic analysis and wavelets in Rn,”
      (with L. Baggett),  Contemp. Math., 247 (1999), 17-27

“Generalized multiresolution analyses, and a construction method for all wavelet sets in Rn,”
      (with L. Baggett and H. Medina),  J. Fourier Anal. Appl., 5 (1999), 563-573

 

Curriculum vita