An Introduction to Fourier Analysis and Generalised Functions

✍ Scribed by M. J. Lighthill

• Publisher: Cambridge University Press
• Year: 1964
• Tongue: English
• Leaves: 88
• Series: Cambridge Monographs on Mechanics
• Category: Library

✦ Synopsis

This monograph on generalised functions, Fourier integrals and Fourier series is intended for readers who, while accepting that a theory where each point is proved is better than one based on conjecture, nevertheless seek a treatment as elementary and free from complications as possible. Little detailed knowledge of particular mathematical techniques is required; the book is suitable for advanced university students, and can be used as the basis of a short undergraduate lecture course. A valuable and original feature of the book is the use of generalised-function theory to derive a simple, widely applicable method of obtaining asymptotic expressions for Fourier transforms and Fourier coefficients.