• On real resonances for three-dimensional Schrödinger operators with point interactions 

  Michelangeli, Alessandro; Scandone, Raffaele (SISSA, 2019-02-20)

  We prove the absence of positive real resonances for Schroedinger operators with finitely many point interactions in R3 and we discuss such a property from the perspective of dispersive and scattering features of the ...
• Krilov solvability of unbounded inverse linear problems 

  Caruso, Noe; Michelangeli, Alessandro (SISSA, 2020-01-23)

  The abstract issue of ‘Krylov solvability’ is extensively discussed for the inverse problem Af = g where A is a (possibly unbounded) linear operator on an infinite-dimensional Hilbert space, and g is a datum in the range ...
• Two-dimensional Schrödinger operators with point interactions: Threshold expansions, zero modes and Lp-boundedness of wave operators 

  Cornean, Horia D.; Michelangeli, Alessandro; Yajima, Kenji (SISSA, 2019-10-10)
• Periodic solutions of nearly integrable Hamiltonian systems bifurcating from infinite-dimensional tori 

  Fonda, Alessandro; Klun, Giuliano; Sfecci, Andrea (2019-09-12)

  We prove the existence of periodic solutions of some infinite-dimensional nearly integrable Hamiltonian systems, bifurcating from infinite-dimensional tori, by the use of a generalization of the Poincaré–Birkhoff Theorem.
• Convergence of the conjugate gradient method with unbounded operators 

  Caruso, Noe; Michelangeli, Alessandro (2019-08-27)

  In the framework of inverse linear problems on infinite-dimensional Hilbert space, we prove the convergence of the conjugate gradient iterates to an exact solution to the inverse problem in the most general case where the ...

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