Continuous wavelet transform on local fields

  • Ashish Pathak Dr. Harisingh Gour Central University

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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Author Biography

Ashish Pathak, Dr. Harisingh Gour Central University

School of Mathematical and Physical Sciences

Department of Mathematics & Statistics

Assistant Professor

References

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M.H. Taibleson, Fourier Analysis on Local Fields, Princeton Univ. Press, 1975.

Published
2015-06-29
Section
Articles