The continuous wavelet transform on ultradistribution spaces
Volume 157 / 2019
Colloquium Mathematicum 157 (2019), 189-201
MSC: Primary 42C15, 42C40, 44A15; Secondary 46F12.
DOI: 10.4064/cm7389-8-2018
Published online: 12 April 2019
Abstract
The wavelet transform of ultradistributions in $\mathscr {Z}_{\omega }^{\prime }$ is defined. The corresponding inversion formula is established by interpreting convergence in the weak distributional sense.
