Application of the quasiasymptotic boundedness of distributions on wavelet transform

Abstract

We analyze the boundedness of the wavelet transform of the quasiasymptotically bounded distribution. Assuming that the distribution ∈ ′ (R) is quasiasymptotically or-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.