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},
     year = {2017},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {137},
     doi = {10.4171/RSMUP/137-11},
     mrnumber = {3652876},
     zbl = {1380.46033},
     url = {https://www.numdam.org/articles/10.4171/RSMUP/137-11/}
}
TY  - JOUR
AU  - Pathak, Ram Shankar
AU  - Singh, Abhishek
TI  - Wavelet transform of Beurling–Björck type ultradistributions
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2017
SP  - 211
EP  - 222
VL  - 137
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - https://www.numdam.org/articles/10.4171/RSMUP/137-11/
DO  - 10.4171/RSMUP/137-11
ID  - RSMUP_2017__137__211_0
ER  - 
%0 Journal Article
%A Pathak, Ram Shankar
%A Singh, Abhishek
%T Wavelet transform of Beurling–Björck type ultradistributions
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2017
%P 211-222
%V 137
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U https://www.numdam.org/articles/10.4171/RSMUP/137-11/
%R 10.4171/RSMUP/137-11
%F RSMUP_2017__137__211_0
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

Cité par Sources :