Generalized translation and convolution associated to the linear canonical Fourier-Jacobi transform

被引：2

作者：

Akhlidj, Abdellatif ^{[1
]}

Elgadiri, Fatima ^{[1
]}

Dahani, Afaf ^{[1
]}

机构：

[1] Univ Hassan 2, Fac Sci Ain Chock, Math & Informat, Casablanca, Morocco

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2023年 / 34卷 / 11期

关键词：

Canonical Fourier-Jacobi transform; translation operator; convolution product;

D O I：

10.1080/10652469.2023.2208725

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the Canonical Fourier-Jacobi transform, which is a generalization of Fractional Fourier-Bessel transform. We define and study the translation operator and we also derive the convolution product related to the canonical Fourier-Bessel transform. Some important properties are established.

引用

页码：799 / 812

页数：14

共 11 条

[1] Optimal filtering with linear canonical transformations [J].

Barshan, B ;

Kutay, MA ;

Ozaktas, HM .

OPTICS COMMUNICATIONS, 1997, 135 (1-3) :32-36

[2] Harmonic analysis associated to the canonical Fourier Bessel transform [J].

Dhaouadi, Lazhar ;

Sahbani, Jihed ;

Fitouhi, Ahmed .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2021, 32 (04) :290-315

[3] PALEY-WIENER TYPE THEOREMS FOR A DIFFERENTIAL OPERATOR CONNECTED WITH SYMMETRIC SPACES [J].

FLENSTEDJENSEN, M .

ARKIV FOR MATEMATIK, 1972, 10 (01) :143-+

[4] CONVOLUTION STRUCTURE FOR JACOBI FUNCTION EXPANSIONS [J].

FLENSTEDJENSEN, M ;

KOORNWINDER, T .

ARKIV FOR MATEMATIK, 1973, 11 (02) :245-262

[5] NEW PROOF OF A PALEY-WIENER TYPE THEOREM FOR JACOBI TRANSFORM [J].

KOORNWINDER, T .

ARKIV FOR MATEMATIK, 1975, 13 (01) :145-159

[6] LINEAR CANONICAL TRANSFORMATIONS AND THEIR UNITARY REPRESENTATIONS [J].

MOSHINSKY, M ;

QUESNE, C .

JOURNAL OF MATHEMATICAL PHYSICS, 1971, 12 (08) :1772-+

[7] Eigenfunctions of linear canonical transform [J].

Pei, SC ;

Ding, JJ .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2002, 50 (01) :11-26

[8] Fourier-Jacobi harmonic analysis and some problems of approximation of functions on the half-axis in L2 metric: Nikol'skii-Besov type function spaces [J].

Platonov, S. S. .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2020, 31 (04) :281-298

[9] Fourier-Jacobi harmonic analysis and some problems of approximation of functions on the half-axis in L2 metric: Jackson's type direct theorems [J].

Platonov, S. S. .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2019, 30 (04) :264-281

[10]

Sahbani S., FRACTIONAL FOURIER J, DOI [10.1007/s11565-020-00337-3, DOI 10.1007/S11565-020-00337-3]

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