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The representation of functions (or objects which are in some generalize the notion of function) as constant linear combinations of sines and cosines at integer multiples of a given frequency, as Fourier transforms or as Fourier integrals.
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votes
Learning roadmap for harmonic analysis
To my mind, the classical subject is quite different from the modern, evolved form of the subject
I started on the classical side with Yitzhak Katznelson's An Introduction to Harmonic Analysis: This …