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arXiv · 1605.02544

Factorizations of Kernels and Reproducing Kernel Hilbert Spaces

Rani Kumari·Jaydeb Sarkar·Srijan Sarkar·Dan Timotin
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Abstract

The paper discusses a series of results concerning reproducing kernel Hilbert spaces, related to the factorization of their kernels. In particular, it is proved that for a large class of spaces isometric multipliers are trivial. One also gives for certain spaces conditions for obtaining a particular type of dilation, as well as a classification of Brehmer type submodules.

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Rani Kumari, Jaydeb Sarkar, Srijan Sarkar, Dan Timotin. 2016-05-09. Factorizations of Kernels and Reproducing Kernel Hilbert Spaces. https://arxiv.org/abs/1605.02544

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