大学物理 ›› 2023, Vol. 42 ›› Issue (7): 21-.doi: 10.16854 /j.cnki.1000-0712.220294

• 教学讨论 • 上一篇    下一篇

傅里叶变换、拉普拉斯变换和伽博变换的关系

曹贞斌   

  1. 中国石油大学(华东) 理学院,山东 青岛 266580
  • 收稿日期:2022-06-12 修回日期:2022-08-18 出版日期:2023-07-01 发布日期:2023-07-11
  • 作者简介:曹贞斌(1981—),男,山东东营人,中国石油大学(华东)理学院副教授,博士,主要从事数学物理教学和超引力研究工作.Email:geyuancao@upc.edu.cn

The relationship between Fourier transform,Laplace transform and  Gabor transform

CAO Zhen-bin   

  1. College of Science,China University of Petroleum,Qingdao,Shandong 266580,China
  • Received:2022-06-12 Revised:2022-08-18 Online:2023-07-01 Published:2023-07-11

摘要: 傅里叶变换、拉普拉斯变换和伽博变换,作为三种常见的积分变换,无论在数学物理的理论研究中还是在各种工程应用中,都有着极重要的价值.本文以傅里叶变换为中心,从逐级修正的角度,详细阐明了三者的理论渊源.

关键词: 傅里叶变换, 拉普拉斯变换, 伽博变换

Abstract: As three common integral transforms,Fourier transform,Laplace transform and Gabor transform are of great value both in the theoretical research of mathematical physics and in various engineering applications.In this paper,we take the Fourier transform as the center,and expound the theoretical relationship of the three transforms in detail from the point of view of step-by-step revision.

Key words: Fourier transform, Laplace transform, Gabor transform