Below is a list of my publications along with links to PDF and some .ps files. Note that files may slightly differ from the final version. Please contact me at speegled at slu dot edu if you would like to receive a reprint.

Preprints

  • Uniform partitions of frames of exponentials into Riesz sequences PDF
  • Beurling dimension of Gabor pseudoframes of affine subspaces
    (with W Czaja and G. Kutyniok) PDF
  • The structure of the set of dyadic PFW's
    (with H Sikic and G Weiss) PDF

      • Publications

    1. Peter G. Casazza; Gitta Kutyniok; Darrin Speegle; Janet C. Tremain, "A decomposition theorem for frames and the Feichtinger Conjecture" Proc. Amer. Math. Soc. *136* (2008), 2043-2053. PDF
    2. Sikic, H.; Speegle, D. Dyadic PFW's and $W\sb o$-bases. Functional analysis IX, 85--90, Various Publ. Ser. (Aarhus), 48, Univ. Aarhus, Aarhus, 2007. PDF
    3. Casazza, Peter G.; Kutyniok, Gitta; Speegle, Darrin A redundant version of the Rado-Horn theorem. Linear Algebra Appl. 418 (2006), no. 1, 1--10. PDF
    4. Czaja, Wojciech; Kutyniok, Gitta; Speegle, Darrin The geometry of sets of parameters of wave packet frames. Appl. Comput. Harmon. Anal. 20 (2006), no. 1, 108--125. PDF
    5. Feichtinger conjecture for wavelet frames, Gabor frames and frames of translates, Can. Jour. Math. 58 (2006), no. 6, 1121--1143.
      (with M. Bownik) PDF
    6. Larson, David; Schulz, Eckart; Speegle, Darrin; Taylor, Keith F. Explicit cross-sections of singly generated group actions. Harmonic analysis and applications, 209--230, Appl. Numer. Harmon. Anal., BirkhŠuser Boston, Boston, MA, 2006. PDF
    7. Wavelets, wavelet sets and linear actions on $\R^n$, (with Gestur Olaffson)
      Wavelets, frames and operator theory, 253--281, Contemp. Math., 345, Amer. Math. Soc., Providence, RI, 2004. PDF
    8. On the existence of wavelets for non-expansive dilation matrices
      Collect. Math. 54 2 (2003), 163--179. PDF
    9. The wavelet dimension function for real dilations and dilations admitting non-MSF wavelets (with Marcin Bownik)
      Approximation Theory X: Wavelets, Splines, and Applications, 63-85, Vanderbilt University Press, 2002. PDF
    10. Meyer--type wavelet bases in $\R^2$ (with Marcin Bownik)
      J. Approx. Theory 116 (2002), no. 1, 49--75. PDF
    11. On wavelets interpolated from an interpolation pair, (with Zioma Rzeszotnik)
      Proc. Amer. Math. Soc. 130 (2002), no. 10, 2921--2930. .ps
    12. A characterization of the dimension function of orthonormal wavelets (with Marcin Bownik and Zioma Rzeszotnik)
      Appl. Comput. Harmon. Anal. 10 (2001), no. 1, 71--92. .ps
    13. On the completeness of wavelets. (with Gustavo Garrigos)
      Proc. Amer. Math. Soc. 128 (2000), no. 4, 1157--1166. .ps
    14. The s-elementary wavelets are path-connected
      Proc. Amer. Math. Soc. 127 (1999) no. 1, 223-233. PDF
    15. Banach spaces failing the almost isometric universal extension property.
      Proc. Amer. Math. Soc. 126 (1998), no. 12, 3633-3637. Contact me for a reprint.
    16. Basic properties of wavelets. (with WUTAM Consortium)
      J. Fourier Anal. Appl. 4 (1998), no. 4-5, 575-594. Out of reprints. Sorry.
    17. Wavelet sets in $\R^n$, II. (with X. Dai and David Larson)
      Wavelets, multiwavelets, and their applications (San Diego, CA, 1997), 15--40, Contemp. Math., 216, Amer. Math. Soc., Providence, RI, 1998. Contact me for a reprint.
    18. Wavelet sets in $\R^n$. (with X. Dai and David Larson)
      J. Fourier Anal. Appl. 3 (1997), no. 4, 451-456. PDF This is a preliminary version (essentially the same as the final version), but Contact me for a reprint of the journal article in JFAA.

    Lectures

    Lectures presented.