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Fourier Series in Harmonic Analysis by Kamaleeshwaran karthi is a document available to read on EtoBox.

The document provides the Fourier series of the function f(x)=e-ax on the interval -π ≤ x ≤ π. It obtains the Fourier coefficients a0, an, and bn and expresses the Fourier series as a sum involving these coefficients. It also proves that the Fourier series of x2 on the interval -π < x < π is x2 = π2/3 + 4Σ(−1)ncosnx/n2 and uses this to show some properties of harmonic series.

Author
Kamaleeshwaran karthi
Language
EN