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The octonionic Moritoh transform on octonionic function spaces
https://doi.org/10.26907/0021-3446-2025-2-61-73
Abstract
This article explores the challenges and applications of the octonion Fourier transform, with a focus on wavelet analysis. We extend the Moritoh wavelet transform to the octonionic Besov spaces, the weighted octonionic Besov spaces, the octonionic BMO spaces, and the octonionic weighted BMO spaces. The derived bounds for the octonionic Moritoh wavelet transform in these spaces contribute to a deeper understanding of its behaviour. Our findings pave the way for future research in signal processing, image analysis, and the intersection of octonion wavelet analysis with other mathematical theories.
About the Authors
A. Kumar
Babasaheb Bhimrao Ambedkar University; Mahatma Gandhi Central University
India
India
Awniya Kumar.
Lucknow, 226025; Motihari, Bihar, 845401
S. K. Singh
Babasaheb Bhimrao Ambedkar University
India
India
Sunil Kumar Singh.
Lucknow, 226025
Sh. K. Singh
Mahatma Gandhi Central University
India
India
Sheo Kumar Singh.
Motihari, Bihar, 845401
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Review
For citations:
Kumar A., Singh S.K., Singh Sh.K. The octonionic Moritoh transform on octonionic function spaces. Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika. 2025;(2):61-73. (In Russ.) https://doi.org/10.26907/0021-3446-2025-2-61-73
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