On Wiener-Hopf operators over linearly ordered diskrete Abelian groups
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911306217422848 |
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| author | Mirotin, Adolf |
| author_facet | Mirotin, Adolf |
| contents | Let $X$ denotes a discrete linearly ordered Abelian group, and let $X_+$ be the positive cone in $X$. In this note we compute the Fredholm index and study spectral properties of Wiener-Hopf operators $W_kg=1_{X_+}(k\ast g)$, $k\in l_2(X_+)$ in the space $l_2(X_+)$ in terms of their symbols $\check k$ where $\check k$ stands for the inverse Fourier transform of $k$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06552 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Wiener-Hopf operators over linearly ordered diskrete Abelian groups Mirotin, Adolf Functional Analysis 43A15 (Primary), 47B35 (Secondary) Let $X$ denotes a discrete linearly ordered Abelian group, and let $X_+$ be the positive cone in $X$. In this note we compute the Fredholm index and study spectral properties of Wiener-Hopf operators $W_kg=1_{X_+}(k\ast g)$, $k\in l_2(X_+)$ in the space $l_2(X_+)$ in terms of their symbols $\check k$ where $\check k$ stands for the inverse Fourier transform of $k$. |
| title | On Wiener-Hopf operators over linearly ordered diskrete Abelian groups |
| topic | Functional Analysis 43A15 (Primary), 47B35 (Secondary) |
| url | https://arxiv.org/abs/2512.06552 |