  Some questions of application of trigonometric splines in problems of
spectral analysis are considered. The known effects of overlay in the frequency
and time domains are discussed; deployment effects in these areas are firstly
considered. The relation between discrete Fourier coefficients and Fourier
coefficients of trigonometric splines was obtained. The expediency of taking
into account the differential properties of the investigated signals that are
losing during the primary sampling is shown.
