Mellin transform in connection with Wigner-Ville transform and linear canonical transform

被引：0

作者：

Jain, Sandhya ^{[1
]}

Basu, Chandrani ^{[2
]}

Jain, Pankaj ^{[2
]}

机构：

[1] Univ Delhi, Vivekananda Coll, Dept Math, Delhi, India

[2] South Asian Univ, Dept Math, Rajpur Rd, New Delhi 110068, India

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2025年

关键词：

Linear canonical transform; Mellin transform; Wigner-Ville transform; Wigner-Ville Mellin transform; INTEGRAL-TRANSFORMS;

D O I：

10.1080/10652469.2025.2451343

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we reinvestigate linear canonical Mellin transform in connection with linear canonical transform. Further, we develop the Mellin transform related to linear canonical Wigner-Ville transform. In both the cases, we prove several properties of these transforms including Parseval type relations and convolution equalities, and moreover, obtain the corresponding inverse transforms. The possibility to extend these transforms in two dimensions has also been pointed out.

引用

页数：21

共 10 条

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