Title of article :
Comparison theorems for separable wavelet frames Original Research Article
Author/Authors :
Shannon Bishop، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2009
Abstract :
Affine group;
Comparison theorem;
Density;
Frames;
Homogeneous Approximation Property;
Nyquist density;
Wavelets
Keywords :
whereby the affine densities of U×VU×V and S×TS×T are proportional , with proportionality constant depending on the frame bounds and the admissibility constants of ff and gg. These results are also extended to wavelet frame sequences. , It is known that wavelet frames do not exhibit a Nyquist density. Even so , this paper shows that the affine densities of the sets U×VU×V and S×TS×T affect the frame properties of View the MathML source{u?12f(xu?v)}u?U , v?V and View the MathML source{s?12g(xs?t)}s?S , it is shown that there is a relationship between the densities of the dilation sets UU and SS and weighted admissibility constants of ff and gg. This relationship implies a comparison theorem , t?T. In particular
Journal title :
Journal of Approximation Theory
Journal title :
Journal of Approximation Theory
