Affiliation:
1. Department of Mathematics and Statistics Banasthali Vidyapith, Banasthali, India
Abstract
In the present article, we define the Mexican hat wavelet Stieltjes transform
(MHWST) by applying the concept of Mexican hat wavelet transform [9]. The
proposed transform serves as a centralized method to analyze both discrete
and continuous time-frequency localization. Besides the formulation of all
the fundamental results, a reconstruction formula is also obtained for
MHWST. Further, a unified approach is applied to obtain the necessary and
sufficient conditions for the same. Moreover, simplified construction for
the jump operator is also presented for the Mexican hat wavelet Stieltjes
transform.
Publisher
National Library of Serbia
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