If $f$ is a function on $R^1$ of $\Lambda$-bounded variation and period $2\pi$, then its $n$th Fourier coefficient $\hat{f}(n) =O(1/\sum^n_1 1/\lambda_j)$ and its ...
Abstract: In this joint work with Jeffrey Geronimo and Chung Wong we study the asymptotics of the Fourier coefficients of 1/|p|^2, where p is a two variable polynomial without roots in the closed ...
Approximations are found to the joint distributions of noncircular and circular partial serial correlation coefficients calculated from residuals from regression on Fourier series. Results for ...
The construction of a PERIODIC signal on the basis of Fourier coefficients which give the AMPLITUDE and PHASE angle of each component sine wave HARMONIC. These coefficients are obtained through ...
A mathematical theorem stating that a PERIODIC function f(x) which is reasonably continuous may be expressed as the sum of a series of sine or cosine terms (called the Fourier series), each of which ...
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