Quantum Hermite functions and Fourier Transform of operators
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917272455479296 |
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| author | Garg, Rahul Thangavelu, Sundaram |
| author_facet | Garg, Rahul Thangavelu, Sundaram |
| contents | We construct operator analogues of Hermite functions which form an orthonormal basis for the Hilbert space $ \mathcal{S}_2$ of Hilbert-Schmidt operators on $ L^2(\R^n).$ We use this orthonormal basis to define Fourier transform on $ \mathcal{S}_2 $ and study some of its basic properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_12626 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum Hermite functions and Fourier Transform of operators Garg, Rahul Thangavelu, Sundaram Functional Analysis We construct operator analogues of Hermite functions which form an orthonormal basis for the Hilbert space $ \mathcal{S}_2$ of Hilbert-Schmidt operators on $ L^2(\R^n).$ We use this orthonormal basis to define Fourier transform on $ \mathcal{S}_2 $ and study some of its basic properties. |
| title | Quantum Hermite functions and Fourier Transform of operators |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2602.12626 |