布拉采维尔傅里叶变换及其应用中的特殊符号和函数

Bracewell's "The Fourier Transform and Its Applications" is a comprehensive and detailed examination of the Fourier transform and its various applications. The book covers a wide range of topics, including special symbols used in notation, functions such as rectangles, triangles, and the Heaviside unit step, and various notations for convolutions and serial products. The text delves into the mathematical concepts behind the Fourier transform, providing a deep understanding of its principles and applications. It discusses various two-dimensional functions, such as O(x), A(x), H(x), and sgn(x), and their respective properties and uses. One key aspect of the book is its focus on practical applications of the Fourier transform. It explores the use of the transform in filtering and interpolating, as well as its application in various engineering and scientific fields. The book also includes a detailed discussion of the asterisk notation for convolution and serial products, as well as the pentagram notation. Bracewell's thorough treatment of the Fourier transform and its applications makes it a valuable resource for students, researchers, and professionals in the fields of mathematics, engineering, and physics. The book offers a comprehensive and in-depth exploration of the topic, providing readers with the knowledge and tools to leverage the power of the Fourier transform in their work. Overall, "The Fourier Transform and Its Applications" by Bracewell is a comprehensive and authoritative resource on the topic, covering a wide range of theoretical and practical aspects. It is an invaluable reference for anyone seeking to understand and apply the Fourier transform in their work.