A Fock space approach to the theory of kernel functions
In this paper, we give a new approach to the theory of kernel functions. Our method is based on the structure of Fock spaces. As its applications, two non-Euclidean examples of strictly positive kernel functions are given. Moreover, we give a new proof of the universal approximation theorem for Gaus...
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| Veröffentlicht in: | Positivity : an international journal devoted to the theory and applications of positivity in analysis 2024-02, Vol.28 (1), p.9, Article 9 |
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| container_title | Positivity : an international journal devoted to the theory and applications of positivity in analysis |
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| creator | Seto, Michio |
| description | In this paper, we give a new approach to the theory of kernel functions. Our method is based on the structure of Fock spaces. As its applications, two non-Euclidean examples of strictly positive kernel functions are given. Moreover, we give a new proof of the universal approximation theorem for Gaussian type kernels. |
| doi_str_mv | 10.1007/s11117-023-01028-x |
| format | Article |
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| ispartof | Positivity : an international journal devoted to the theory and applications of positivity in analysis, 2024-02, Vol.28 (1), p.9, Article 9 |
| issn | 1385-1292 1572-9281 |
| language | eng |
| recordid | cdi_proquest_journals_2915807200 |
| source | Springer Online Journals |
| subjects | Algebra Approximation Calculus of Variations and Optimal Control Optimization Construction Econometrics Fourier Analysis Hilbert space Kernel functions Mathematics Mathematics and Statistics Operator Theory Potential Theory |
| title | A Fock space approach to the theory of kernel functions |
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