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arXiv · 2206.02121

Eigenvalues of weighted generalized shifts over direct products of vector spaces

Safoura Arzanesh·Fatemah Ayatollah Zadeh Shirazi·Arezoo Hosseini·Reza Rezavand
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Abstract

In the following text for vector space $V$ over field $F$ we compute all eigenvalues of weighted generalized shift $σ_{φ,\mathfrak{w}}:V^Γ\to V^Γ$ (and generalized shift $σ_φ:V^Γ\to V^Γ$) for nonempty set $Γ$, weight vector $\mathfrak{w}\in F^Γ$ and self--map $φ:Γ\to Γ$.

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Safoura Arzanesh, Fatemah Ayatollah Zadeh Shirazi, Arezoo Hosseini, Reza Rezavand. 2022-06-05. Eigenvalues of weighted generalized shifts over direct products of vector spaces. https://arxiv.org/abs/2206.02121

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