Linear Combinations of Frames and Frame Packets

  • Ole Christensen

    Technical University of Denmark, Lyngby, Denmark


We find coefficients such that for an arbitrary frame the set of vectors will again be a frame. Appropriate coefficients can always be chosen as function values ), where belongs to a broad class of functions generating a Gabor frame for . We also prove a version of the splitting trick, which allows to construct a large family of frames based on a single (wavelet or Gabor) frame.

Cite this article

Ole Christensen, Linear Combinations of Frames and Frame Packets. Z. Anal. Anwend. 20 (2001), no. 4, pp. 805–815

DOI 10.4171/ZAA/1046