Discrete frames of non-uniform shifts in frequency domain
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909715996344320 |
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| author | Malhotra, Hari Krishan Chhillar, Manisha Vashisht, Lalit Kumar |
| author_facet | Malhotra, Hari Krishan Chhillar, Manisha Vashisht, Lalit Kumar |
| contents | Frames in separable Hilbert spaces gives stable analysis and reconstruction of each vector in the underlying space. In this paper, we study frame conditions for a collection of matrix-valued functions obtained by non-uniform shifts. We give necessary and sufficient conditions for the existence of matrix-valued discrete Bessel sequence over non-uniform displacement parameters in terms of the Fourier transform of window functions. We also present perturbation results for matrix-valued non-uniform discrete frames. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_00389 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Discrete frames of non-uniform shifts in frequency domain Malhotra, Hari Krishan Chhillar, Manisha Vashisht, Lalit Kumar Functional Analysis Frames in separable Hilbert spaces gives stable analysis and reconstruction of each vector in the underlying space. In this paper, we study frame conditions for a collection of matrix-valued functions obtained by non-uniform shifts. We give necessary and sufficient conditions for the existence of matrix-valued discrete Bessel sequence over non-uniform displacement parameters in terms of the Fourier transform of window functions. We also present perturbation results for matrix-valued non-uniform discrete frames. |
| title | Discrete frames of non-uniform shifts in frequency domain |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2508.00389 |