Reproducing Kernel for Periodic Boundary Conditions

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS（2023）

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摘要

In this paper, we introduced a reproducing kernel space which is a particular class of Hilbert space. We discuss various properties of the reproducing kernel. In particular, our aim is to construct kernel in reproducing kernel Hilbert space of the specific function space (Sobolev space) with the improved inner product and norm. Also, we derive the reproducing kernel for periodic boundary conditions.

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关键词

Inner product, Hilbert space, Reproducing kernel Hilbert space, Reproduc-ing kernel, Periodic boundary conditions

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