Scholarlink

<p>Among the class of generalized Fourier transformations, the linear canonical transform is of pivotal importance due mainly to its higher degrees of freedom in lieu of the conventional Fourier and fractional Fourier transforms. This article is motivated essentially upon some interesting recent developments on the linear canonical deformed Hankel transforms (LCDHT) and the associated uncertainty principles. In this paper, we introduce and systematically study a family of the deformed wavelet transforms which are stemmed from the LCDHT. We formulate several weighted uncertainty principles (UP) for the resulting class of integral transforms, called the linear canonical deformed wavelet transforms (LCDWT). Some applications of the results, which we have presented in this investigation, are also considered.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A class of linear canonical deformed wavelet transforms and their applications

  • 期刊论文

  • 发表日期：

    2026年3月12日

查看全文
  • H. M. Srivastava,
  • Hatem Mejjaoli

摘要

Among the class of generalized Fourier transformations, the linear canonical transform is of pivotal importance due mainly to its higher degrees of freedom in lieu of the conventional Fourier and fractional Fourier transforms. This article is motivated essentially upon some interesting recent developments on the linear canonical deformed Hankel transforms (LCDHT) and the associated uncertainty principles. In this paper, we introduce and systematically study a family of the deformed wavelet transforms which are stemmed from the LCDHT. We formulate several weighted uncertainty principles (UP) for the resulting class of integral transforms, called the linear canonical deformed wavelet transforms (LCDWT). Some applications of the results, which we have presented in this investigation, are also considered.