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- W51496006 abstract "Let H denote a differential operator of the form $$(Hf)(t) = - iJfrac{{text{d},f}} {{text{d},t}}(t) - V(t)f(t),,,,t geqslant 0,$$(1.1)where $$J = left( begin{gathered} I_m ,,,,,,,,0 hfill 0,,,, - I_m hfill end{gathered} right),,,,,,text{and},,,V(t) = left( begin{gathered} ,,,,0,,,,,,k(t) hfill k(t)^ * ,,,,,,0 hfill end{gathered} right). $$(1.2)Here, k(t) is a ℂ m×m -valued function with entries in L 1(0, ∞). It is sometimes called the potential of the differential operator, or the local reflexivity coefficient function (see [10] for this latter interpretation). Associated to the operator H are two important functions: the scattering function and the spectral function." @default.
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- W51496006 date "1997-01-01" @default.
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- W51496006 title "State Space Method for Inverse Spectral Problems" @default.
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