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.
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Notes
- 1.
This standard result is in fact true for any matrix M (not only Hermitian) in dimension \(d>2\), and also in dimension 2 if one adds symmetries to rotations.
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Younes, L. (2019). Building Admissible Spaces. In: Shapes and Diffeomorphisms. Applied Mathematical Sciences, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-58496-5_8
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DOI: https://doi.org/10.1007/978-3-662-58496-5_8
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-58495-8
Online ISBN: 978-3-662-58496-5
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