APPLICATION OF THE QUASIASYMPTOTIC BOUNDEDNESS OF DISTRIBUTIONS ON WAVELET TRANSFORM

摘要

We analyze the boundedness of the wavelet transform IN, f of thequasiasymptotically bounded distribution f. Assuming that the distributionf S'(R) is quasiasymptotically or r-quasiasymptotically bounded at a pointor at infinity related to a continuous and positive function, we obtain resultsfor the localization of its wavelet transform.