Reproducing Kernel for Neumann Boundary Conditions

PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS（2022）

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摘要

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

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关键词

Inner product,Hilbert space,Reproducing kernel,Neumann boundary conditions

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