On the eigenfunctions of Sturm--Liouville operators with potentials --- distributions
Savchuk, Artem
Original · EN
In this paper we study a Sturm--Liouville operator Ly=-y"+q(x)y in the space L₂[0,π] with Direchlet boundary conditions. Here the potential q is a first order distribution: q∈ W₂⁻¹[0,π]. Such operators were defined in our previous papers. Here we clerify two leading terms in asymptotic formulae for eigenfunctions of such operators and for functions of biorthogonal system.
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