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arxiv: 1611.03688 · v2 · pith:QHVZ63SZnew · submitted 2016-11-11 · 🧮 math-ph · math.MP

Homogeneous rank one perturbations

classification 🧮 math-ph math.MP
keywords operatorsrankclosedfamilyfracfunctiongivengroup
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A holomorphic family of closed operators with a rank one perturbation given by the function $x^{\frac{m}{2}}$ is studied. The operators can be used in a toy model of renormalization group.

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