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DISTRIBUTIONAL CONVOLUTORS FOR WAVELET TRANSFORM

Abhishek Singh, Nikhila Raghuthaman

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Source: Crossref

Published: Feb 1, 2026

DOI: 10.1216/rmj.2026.56.229

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Source abstract

The concept of convolutors on distribution spaces has been extended to establish some results of the wavelet transform. The space of convolutors is characterized in terms of its wavelet transform with example. Further, Calderón-type reproducing formula is derived in distributional sense as an application of the same.

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DISTRIBUTIONAL CONVOLUTORS FOR WAVELET TRANSFORM — Mathematical Frontier Network