ON THE CONTINUITY OF THE DISCRETE WAVELET TRANSFORM BASED ON n-DIMENSIONAL TIGHT FRAMES
The discrete wavelet transform for functions f in with respect to a radially symmetric admissible function h in of class with compact support, is used to prove that f is continuous at and furthermore at in if and only if we have the convergence of the discrete wavelet transform.
convolution, inversion formula, discrete wavelet transform, continuity, tight frames.
