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- W2963741734 abstract "We consider the Hill operator L y = − y ″ + v ( x ) y , 0 ⩽ x ⩽ π , subject to periodic or antiperiodic boundary conditions ( bc ) with potentials of the form v ( x ) = a e − 2 i r x + b e 2 i s x , a , b ≠ 0 , r , s ∈ N , r ≠ s . It is shown that the system of root functions does not contain a basis in L 2 ( [ 0 , π ] , C ) if bc are periodic or if bc are antiperiodic and r , s are odd or r = 1 and s ⩾ 3 ." @default.
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- W2963741734 date "2013-08-01" @default.
- W2963741734 modified "2023-09-26" @default.
- W2963741734 title "Divergence of spectral decompositions of Hill operators with two exponential term potentials" @default.
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- W2963741734 doi "https://doi.org/10.1016/j.jfa.2013.05.003" @default.
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