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<p>In the present work, we establish that a Parseval identity for the Bessel wavelet transform holds under certain assumptions on the functions and their transforms. Furthermore, we derive Tauberian and sharp remainder Tauberian theorems for the Bessel wavelet transform by exploiting the Wiener-Ganelius method in conjunction with the Parseval identity.</p>

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Parseval Relation and Tauberian Theorems for the Bessel Wavelet Transformation

  • 期刊论文

  • 发表日期：

    2026年7月19日

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  • Ashish Pathak,
  • Dharmendra Kr. Chaurasia

摘要

In the present work, we establish that a Parseval identity for the Bessel wavelet transform holds under certain assumptions on the functions and their transforms. Furthermore, we derive Tauberian and sharp remainder Tauberian theorems for the Bessel wavelet transform by exploiting the Wiener-Ganelius method in conjunction with the Parseval identity.