Continuous wavelet transform on local fields

2015/01/29 by Ashish Pathak, Pathak, Ashish
Mathematics · #42C40 #43A70 #44A05 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:42C40 #msc:43A70 #msc:44A05

paper · pdf · doi:10.48550/arxiv.1501.07409

arxiv created 2015/01/29 · arxiv updated 2015/01/30

Abstract

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.

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