A Fourier-RKHS approach for detecting orthogonal Gaussian distributions for stationary processes on homogeneous spaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918304634896384 |
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| author | Hediger, Michael |
| author_facet | Hediger, Michael |
| contents | Pairs of equivalent Gaussian distributions for centered stationary processes on homogeneous spaces can be characterized in terms of their spectral measures. The purpose of this note is to consider part of the latter characterization from the perspective of a reproducing kernel Hilbert space (RKHS) approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20248 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Fourier-RKHS approach for detecting orthogonal Gaussian distributions for stationary processes on homogeneous spaces Hediger, Michael Probability 60G10, 60G15, 60G30, 46E22, 43A90 Pairs of equivalent Gaussian distributions for centered stationary processes on homogeneous spaces can be characterized in terms of their spectral measures. The purpose of this note is to consider part of the latter characterization from the perspective of a reproducing kernel Hilbert space (RKHS) approach. |
| title | A Fourier-RKHS approach for detecting orthogonal Gaussian distributions for stationary processes on homogeneous spaces |
| topic | Probability 60G10, 60G15, 60G30, 46E22, 43A90 |
| url | https://arxiv.org/abs/2512.20248 |