Fourier series can be defined on other intervals besides −L ≤ x ≤ L. Suppose that g(y) i...

Fourier series can be defined on other intervals besides −L ≤ x ≤ L. Suppose that g(y) is defined for a ≤ y ≤ b. Represent g(y) using periodic trigonometric functions with period b − a. Determine formulas for the coefficients. [Hint: Use the linear transformation