Singularities of interpolation of
-periodic functions with a finite spectrum Fourier
on the basis of the sampling theorem
Dmitriev, M. P. Slichenko
The paper is received
on December 23, 2013
Abstract. The exact closed
expression is received, allowing to calculate values of 2π-periodic function with a finite
spectrum Fourier, and also its derivative of a random order in an arbitrary
point in the form of the final weighed sum of references of function on its
phase. The kernel of the received expansion is analysed.
Keywords: periodic function, finite
spectrum, interpolation, the sampling theorem.