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Cauchy wavelet transform of ultra-distributions in tube domains
Authors:R.S. Pathak
Affiliation:DST-Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi, 221 005India.
Abstract:In this paper, Cauchy wavelet transform of ultra-distributions in tube domains is defined and its various properties are studied using the theory of Cauchy integrals and Poisson integrals of ultra-distributions.
Keywords:Cauchy wavelet  wavelet transform  Fourier transform  holomorphic function
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