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What is Fourier Transform: Definition & Properties about?

This document defines and discusses properties of the Fourier transform. It begins by defining the Fourier transform and noting some basic properties like shift and scaling properties. It introduces the Schwartz space as a function space containing rapidly decreasing functions that is closed under Fourier transform. Examples of Schwartz space functions like Gaussians are given. The density of test functions and Schwartz functions in Lp spaces is shown. Finally, key properties of the Fourier transform on Sch

Author

batpora

Language

EN