Orthogonal Fourier Analysis on Domains
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909371419590656 |
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| author | Kolountzakis, Mihail N. |
| author_facet | Kolountzakis, Mihail N. |
| contents | In this paper we go over the history of the Fuglede or Spectral Set Conjecture as it has developed over the last 30 years or so. We do not aim to be exhaustive and we do not cover important areas of development such as the results on the problem in classes of finite groups or the version of the problem that focuses on spectral measures instead of sets. The selection of the material has been strongly influenced by personal taste, history and capabilities. We are trying to be more descriptive than detailed and we point out several open questions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_15361 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Orthogonal Fourier Analysis on Domains Kolountzakis, Mihail N. Classical Analysis and ODEs Metric Geometry 42B10, 43A25, 52C22 In this paper we go over the history of the Fuglede or Spectral Set Conjecture as it has developed over the last 30 years or so. We do not aim to be exhaustive and we do not cover important areas of development such as the results on the problem in classes of finite groups or the version of the problem that focuses on spectral measures instead of sets. The selection of the material has been strongly influenced by personal taste, history and capabilities. We are trying to be more descriptive than detailed and we point out several open questions. |
| title | Orthogonal Fourier Analysis on Domains |
| topic | Classical Analysis and ODEs Metric Geometry 42B10, 43A25, 52C22 |
| url | https://arxiv.org/abs/2408.15361 |