Abstract
A canonical system of differential equations, or Hamiltonian system, is a system of order two of the form Jy′(x) = −zH(x)y(x), x ∈ ℝ+. We characterize the property that the selfadjoint operators associated to a canonical system have resolvents of Hilbert-Schmidt type in terms of the Hamiltonian H as well as in terms of the associated Titchmarsh-Weyl coefficient.
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© 2007 Birkhäuser Verlag Basel/Switzerland
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Kaltenbäck, M., Woracek, H. (2007). Canonical Differential Equations of Hilbert-Schmidt Type. In: Förster, KH., Jonas, P., Langer, H., Trunk, C. (eds) Operator Theory in Inner Product Spaces. Operator Theory: Advances and Applications, vol 175. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8270-4_9
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DOI: https://doi.org/10.1007/978-3-7643-8270-4_9
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8269-8
Online ISBN: 978-3-7643-8270-4
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