Abstract
This paper investigates about the exchange property for the wavelet transform. Simplified construction of tempered Boehminas has also been presented. This new construction indicates that it’s not essential to consider delta sequences and convergence arguments. Further, by applying the exchange property and continuity of the wavelet transform an isomorphism from Boehmians to the space of distributions is obtained.
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Acknowledgements
This work is supported by Major Research Project by SERB-DST, Government of India, through sanction No. ECR/2017/000394.
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Communicated by Samy Ponnusamy.
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Singh, A., Rawat, A. & Dhawan, S. On the exchange property for the wavelet transform. J Anal 30, 1743–1751 (2022). https://doi.org/10.1007/s41478-022-00428-8
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DOI: https://doi.org/10.1007/s41478-022-00428-8