Application of the quasiasymptotic boundedness of distributions on wavelet transform
Katerina Saneva · Publications de l Institut Mathematique · 2009
We analyze the boundedness of the wavelet transform Wg of the quasiasymptotically bounded distribution f. Assuming that the distribution f?S'(R) is quasiasymptotically or r-quasiasymptotically bounded at a point or at infinity related to a continuous and positive function, we obtain results for the localization of its wavelet transform.