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- Title
A Note on Moritoh Transforms.
- Authors
KUMAR, AWNIYA; SINGH, SUNIL KUMAR; SINGH, SHEO KUMAR
- Abstract
Some fundamental properties of the Moritoh wavelet are discussed in this paper. The Moritoh 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 defined 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.
- Subjects
WAVELET transforms; SOBOLEV spaces; HEISENBERG uncertainty principle; QUATERNION functions; DISTRIBUTION (Probability theory); FOURIER transforms
- Publication
Creative Mathematics & Informatics, 2024, Vol 33, Issue 2, p185
- ISSN
1584-286X
- Publication type
Article
- DOI
10.37193/CMI.2024.02.05