In this paper, we explore wavelet convolutors in the ultradistribution space Mω$$ {\mathcal{M}}_{\omega } $$ . We examine wavelet convolutors by applying an appropriate topological isomorphism to these spaces via… Click to show full abstract
In this paper, we explore wavelet convolutors in the ultradistribution space Mω$$ {\mathcal{M}}_{\omega } $$ . We examine wavelet convolutors by applying an appropriate topological isomorphism to these spaces via the wavelet transform. Additionally, we present Calderóns reproducing formula for wavelet convolutors and provide an example using the Mexican hat wavelet transform for the associated convolutors.
Keywords:
ultradistributional wavelet;
wavelet convolutors;
wavelet
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2025
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Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2025
Link to full text (if available)
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recommendations!