[Author] N. V. Chashnikov [Title] Discrete periodic analogue of Hermite spline interpolation [AMS Subj-class] 42C20 Other transformations of harmonic type [Abstract] A linear space based on translations of discrete periodic Bernoulli functions with period $mn$ is introduced. It is proven that an interpolation problem of finding a function by $m$ given values and finite differences has the unique solution in the space. An extremal property of the interpolating function is established. A method of using interpolating functions for closed curves construction is described. [Comments] Russian, 9 pp. [Contact e-mail] nik239@list.ru