JSTOR Daily

ON THE FOURIER COEFFICIENTS OF HILBERT MODULAR FORMS OF HALF-INTEGRAL WEIGHT OVER ARBITRARY ALGEBRAIC NUMBER FIELDS

Tsukuba Journal of Mathematics, Vol. 37, No. 1 (July 2013), pp. 1-11 (11 pages) In Theorem 2.5 in previous paper [4], we determined the Fourier coefficients of the image of Shimura correspondence of ...
JSTOR Daily

The Approximate Distribution of Partial Serial Correlation Coefficients Calculated from Residuals from Regression on Fourier Series

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 ...
Simon Fraser University

FOURIER THEOREM

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 ...
Simon Fraser University

FOURIER SYNTHESIS

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 ...
Nature

Sparse Fourier Transform Algorithms

Sparse Fourier Transform (SFT) algorithms constitute a transformative approach to spectral analysis by leveraging the inherent sparsity of signals in the frequency domain. In contrast to the ...