Fractional Integrals of Fractional Fourier Transform for Integrable Boehmians

被引：3

作者：

Singh, Abhishek ^{[1
,2
]}

Banerji, P. K. ^{[3
]}

机构：

[1] Banaras Hindu Univ, DST CIMS, Varanasi, Uttar Pradesh, India

[2] Amity Univ, AIAS, Noida, Uttar Pradesh, India

[3] JN Vyas Univ, Dept Math, Jodhpur, Rajasthan, India

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES | 2018年 / 88卷 / 01期

关键词：

Fourier transform; Fractional Fourier transform; Fractional derivatives and integrals; Calculus of Mikusinski and other operational calculi; Distribution spaces; Boehmians;

D O I：

10.1007/s40010-016-0329-2

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

With an abridged introductory note on the fractional Fourier transform, this paper attempts to study the same for integrable Boehmians with regard to fractional integrals. Some relevant properties are also established.

引用

页码：49 / 53

页数：5

共 50 条

[41] Fractional Fourier transform of Lorentz beams
Zhou Guo-Quan
CHINESE PHYSICS B, 2009, 18 (07) : 2779 - 2784
[42] A sparse approximation for fractional Fourier transform
Yang, Fang
Chen, Jiecheng
Qian, Tao
Zhao, Jiman
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2024, 50 (03)
[43] A reformulation of weighted fractional Fourier transform
Zhao, Tieyu
Yuan, Lin
Li, Mingwei
Chi, Yingying
DIGITAL SIGNAL PROCESSING, 2020, 104
[44] A unified framework for the fractional Fourier transform
Cariolaro, G
Erseghe, T
Kraniauskas, P
Laurenti, N
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1998, 46 (12) : 3206 - 3219
[45] Image encryption and the fractional Fourier transform
Hennelly, BM
Sheridan, JT
OPTIK, 2003, 114 (06): : 251 - 265
[46] The Fractional Fourier Transform and Harmonic Oscillation
M. Alper Kutay
Haldun M. Ozaktas
Nonlinear Dynamics, 2002, 29 : 157 - 172
[47] A novel discrete fractional Fourier transform
Tao, R
Ping, XJ
Shen, Y
Zhao, XH
2001 CIE INTERNATIONAL CONFERENCE ON RADAR PROCEEDINGS, 2001, : 1027 - 1030
[48] THE FINITE FIELD FRACTIONAL FOURIER TRANSFORM
Lima, Juliano B.
Campello de Souza, Ricardo M.
2010 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, 2010, : 3670 - 3673
[49] Adaptive harmonic fractional Fourier transform
Zhang, F
Chen, YQ
Bi, G
IEEE SIGNAL PROCESSING LETTERS, 1999, 6 (11) : 281 - 283
[50] Unlimited Sampling Theorem Based on Fractional Fourier Transform
Zhao, Hui
Li, Bing-Zhao
FRACTAL AND FRACTIONAL, 2023, 7 (04)

← 1 2 3 4 5 →