The Fourier coefficients of the f(x) and g(x) functions that can be expanded into the Fourier series in the (-L,L) range and are square integrable are ao, an, bn and a' , bó , có , (n=1,2,...). a, a' Show that it is +Č(a, a', +b, b' ) = 2 n=1 7-

The Fourier coefficients of the f(x) and g(x) functions that can be expanded into the Fourier series in the (-L,L) range and are square integrable are ao, an, bn and a' , bó , có , (n=1,2,...). a, a' Show that it is +Č(a, a', +b, b' ) = 2 n=1 7-

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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Question

The Fourier coefficients of the f(x) and g(x) functions that can be expanded into the Fourier series in
the (-L,L) range and are square integrable are a, an, bn and a, ,bó , có , (n=1,2,..).
a, a'
Show that it is
b') =-
f (x)g
2
L
n=1

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