The main objective of this paper is to define the mother wavelet on local fields and study the continuous wavelet transform (CWT) and some of their basic properties. its inversion formula, the Parseval relation and associated convolution are also studied.
@article{27340, title = {Continuous wavelet transform on local fields}, journal = {Boletim da Sociedade Paranaense de Matem\'atica}, volume = {34}, year = {2015}, doi = {10.5269/bspm.v34i2.27340}, language = {EN}, url = {http://dml.mathdoc.fr/item/27340} }
Pathak, Ashish. Continuous wavelet transform on local fields. Boletim da Sociedade Paranaense de Matemática, Tome 34 (2015) . doi : 10.5269/bspm.v34i2.27340. http://gdmltest.u-ga.fr/item/27340/