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Published in:
2019 | OriginalPaper | Chapter
8. Building Admissible Spaces
Author : Laurent Younes
Published in: Shapes and Diffeomorphisms
Publisher: Springer Berlin Heidelberg
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Abstract
This chapter presents several explicit constructions of admissible spaces, focusing on Hilbert spaces. We will in particular introduce the notion of reproducing kernels associated to an admissible space, which will provide a powerful computational tool. Several important properties associated with such kernels are also discussed.