On some Kinds of Methods about Producing the Corresponding Non-Periodic Kernel from a Periodic Kernel

Abstract:

      Given a non-periodic kernel, as well known, a corresponding periodic kernel can be constructed by Poisson's sum formula. In this paper we discuss how to construct the corresponding non-periodic kernel from a periodic kernel. To do this, multiplicator method and undetermined coefficient method are introduced; The exis-tence theorems are estallished also. In particular, Fejer-Коровкйн and Ghermanesco perturbed Fejer type non-periodic kernels are given out.