The inverse resonance problem for hermite operators

Academic Article


  • In this paper the inverse resonance problem for the Hermite operator is investigated. The Hermite operator H = a + a* + b with the creation operator a, the annihilation operator a *, and a finitely supported multiplication operator b, is an unbounded operator on ℓ2(ℕ0) having finitely many eigenvalues and infinitely many resonances (except for b = 0, when there are no eigenvalues or resonances). It is shown that knowing the location of eigenvalues and resonances determines the potential b uniquely. © Springer Science+Business Media, LLC 2009.
  • Authors

    Published In

    Digital Object Identifier (doi)

    Author List

  • Brown BM; Naboko S; Weikard R
  • Start Page

  • 155
  • End Page

  • 174
  • Volume

  • 30
  • Issue

  • 2