Abstract
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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Communicated by Claude Alain Pillet.
The financial support of the National Science Center, Poland, under the Grant UMO-2014/15/B/ST1/00126, is gratefully acknowledged. The author thanks Serge Richard for useful discussions.
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Dereziński, J. Homogeneous Rank One Perturbations. Ann. Henri Poincaré 18, 3249–3268 (2017). https://doi.org/10.1007/s00023-017-0585-y
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DOI: https://doi.org/10.1007/s00023-017-0585-y