Wavelet transform of Beurling–Björck type ultradistributions
Pathak, Ram Shankar1 ; Singh, Abhishek1
1 Banaras Hindu University, VARANASI, INDIA
Rendiconti del Seminario Matematico della Università di Padova, Tome 137 (2017), pp. 211-222.

Wavelet transform of a distribution in ℳ ω ' involving wavelet of infraexponential decay (subexponential decay) is studied. An inversion formula is obtained which is valid in the weak topology of 𝒟 ' . A discussion on extension of the results to ultradistribution space of compact support is also given.

DOI : 10.4171/RSMUP/137-11
Classification : 44, 42
Mots-clés : Beurling–Björck ultradistributions, infraexponential decaying wavelets, Wavelet transform
Pathak, Ram Shankar 1 ; Singh, Abhishek 1

1 Banaras Hindu University, VARANASI, INDIA 
@article{RSMUP_2017__137__211_0,
     author = {Pathak, Ram Shankar and Singh, Abhishek},
     title = {Wavelet transform of {Beurling{\textendash}Bj\"orck} type ultradistributions},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {211--222},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {137},
     year = {2017},
     doi = {10.4171/RSMUP/137-11},
     mrnumber = {3652876},
     zbl = {1380.46033},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/137-11/}
}
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Pathak, Ram Shankar; Singh, Abhishek. Wavelet transform of Beurling–Björck type ultradistributions. Rendiconti del Seminario Matematico della Università di Padova, Tome 137 (2017), pp. 211-222. doi : 10.4171/RSMUP/137-11. http://www.numdam.org/articles/10.4171/RSMUP/137-11/

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