Advertisement

Qualitative Density Conditions

Part of the Lecture Notes in Mathematics book series (LNM, volume 1914)

We prove that there exist necessary conditions on a weighted wavelet system with finitely many generators in order that it possesses frame bounds. Specifically, we prove that if such a system possesses an upper frame bound, then the upper weighted affine density is finite. Further, under some hypotheses, we prove that if such a system possesses a lower frame bound, then the lower affine density is strictly positive.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Personalised recommendations