68 citations · 311 across the 20 of their papers we have counts for
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math-ph2016★ 3 cited
Homogeneous rank one perturbations
Jan Dereziński
A holomorphic family of closed operators with a rank one perturbation given by the function is studied. The operators can be used in a toy model of renormalizatio…
math-ph2016★ 47 cited
On Schroedinger operators with inverse square potentials on the half-line
Jan Dereziński, Serge Richard
The paper is devoted to operators given formally by the expression \begin{equation*} -\partial_x^2+\big(α-\frac14\big)x^{-2}. \end{equation*} This expression is homogeneous of degr…