Continuous wavelet transform on local fields

Continuous wavelet transform on local fields

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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Veröffentlicht in:Boletim da Sociedade Paranaense de Matemática 2016-01, Vol.34 (2), p.113-121
1. Verfasser: Pathak, Ashish
Format: Artikel
Sprache:eng
Schlagworte:
Continuous Wavelet Transform
Fourier transform
Local fields
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Zusammenfassung: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.
ISSN:0037-8712
2175-1188
DOI:10.5269/bspm.v34i2.27340