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arXiv · 2512.06552

On Wiener-Hopf operators over linearly ordered diskrete Abelian groups

Adolf Mirotin
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Abstract

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 $k$.

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Adolf Mirotin. 2025-12-06. On Wiener-Hopf operators over linearly ordered diskrete Abelian groups. https://arxiv.org/abs/2512.06552

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