Harmonic analysis on classical groups Aietes der Krieger, Jason der Sieger
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analysis. Origins of the concept. The concept of
harmonic function originates in theories about just intonation.It was realized that three perfect major triads, distant from each other by a perfect fifth, produced the seven degrees of the major scale in one of the possible forms of just intonation: for instance, the triads F–A–C, C–E–G and G–B–D produce the seven notes of the major scale. Looking for books on
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The Accidents of Style One of the most modern branches of
harmonic analysis, having its roots in the mid-20th century, is
analysis on topological
groups.The core motivating ideas are the various Fourier transforms, which can be generalized to a transform of functions defined on Hausdorff locally compact topological
groups.. The theory for abelian locally compact
groups is called Pontryagin duality.
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