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

 

Recent Publications:

"Smooth well-localized Parseval wavelets based on wavelet sets in R2," to appear in Contemp. Math..

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

"Fractal wavelets of Dutkay-Jorgensen type for the Sierpinski gasket space,"
    (with J. D'Andrea and J. Packer), to appear in Contemp. Math..


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--Marseiile 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