EXPOSITIO

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Abstract harmonic analysis

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Mathematics Abstract harmonic analysis
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Expositio paper

The Algebraic Structure Underlying Fourier Analysis

Siddharth Kothari

Preprint
v1

In this paper, we begin with the concept of a projection in the familiar vector space R^n, and then extend it to an arbitrary inner product space. This foundational idea enables us to compute a line of best fit, approximate functions using polynomials, and decompose a function i…

Mathematics / Abstract harmonic analysis Mathematics / Group theory and generalizations
Mathematics > Abstract harmonic analysis > Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups Primary
Mathematics > Group theory and generalizations > Finite abelian groups