Deformed Hankel transform of Dini – Lipschitz functions

• Date: 2022
• Main Authors: Elgargati , A., Loualid, M. El, Daher, R.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2022
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6134
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 By using a generalized symmetric difference $\Delta_{h}^{m}$ of order $m$ and step $h>0,$ we obtain an analog of the Titchmarsh theorems [Introduction to the theory of Fourier integrals, Oxford Univ. Press (1948)] (Theorems 84 and 85) for the deformed Hankel transform. We also p...