A Note on Moritoh Transforms
AWNIYA KUMAR, Sunil K. Singh, SHEO KUMAR SINGH · Creative Mathematics and Informatics · 2024
Some fundamental properties of the Moritoh wavelet are discussed in this paper. The Mori- toh transform is approximated for ultra-distributions in generalised Sobolev space. The adjoint formula of the Fourier transform is extended to the Moritoh transform. The convolution for quaternion-valued functions is de- fined for a modified representation of quaternions. Furthermore, the quaternionic Moritoh transform is defined with the help of convolution. The inner product relation and the uncertainty principle are also established for the quaternionic Moritoh wavelet transform.