Strictly Positive Definite Functions on a Real Inner Product Space
By Allan Pinkus. 2004
39 citations recorded by the source corpus.
Subfields: Geometry and Topology, Mathematical Physics, Statistics and Probability
How researchers see this paper
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In Geometry and Topology
In Mathematical Physics
In Statistics and Probability
- Ingo Steinwart
- Andreas Christmann
- Blaine Nelson
- Clayton D. Scott
- Battista Biggio
- Mona Eberts
- E.J. Candes
Citations in the corpus
- Hilbert Space Embeddings and Metrics on Probability Measures (2009, neutral): “On the other hand, if a kernel is strictly pd, then it need not be universal, which follows from the results due to Dahmen and Micchelli (1987) and Pinkus (2004) for Taylor kernels (Steinwart and Christmann, 2008, Lemma 4.8, Corollary 4.57).”
- Universal Kernels on Non-Standard Input Spaces (2010, background): “57], showed that Taylor kernels are universal, if an > 0 for all n ≥ 0, while [21] notes that strict positivity on certain subsets of indices n suffices.”