Abelian Theorems for Quadratic-Phase Fourier Wavelet Transform

被引：2
|
作者：
Sharma, P. B. [1 ]
Prasad, A. [1 ]
机构：
[1] Indian Sch Mines, Dept Math & Comp, Indian Inst Technol, Dhanbad 826004, Bihar, India
来源：
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES | 2023年 / 93卷 / 01期
关键词：
Wavelet; Quadratic-phase Fourier Wavelet transform; Quadratic-phase Fourier transform; Tempered distribution; Abelian Theorems;
D O I：
10.1007/s40010-022-00790-z
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：
In this paper, we establish the Abelian theorems, which characterize the behaviour of the quadratic-phase Fourier wavelet transform (QPFWT) (W-psi (Omega a,b,c,d,e) f) (beta, alpha) as alpha -> infinity to the behaviour to determine the function and tempered distribution (f) over cap(omega) as omega -> 0. These results are mentioned as initial and final value Abelian theorems. Some results on asymptotic orders of QPFWT are also investigated.
引用
收藏
页码：75 / 83
页数：9
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