I. Sadovnichaya

most citedEquiconvergence theorems for Sturm--Liouville operators with distribution potentials^ the rate of equiconvergence

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math.SP2008

Uniconvergence theorems for Sturm--Liouville operators with potentials from Sobolev space $W_{2}^{- 1} [0, π]$

I. V. Sadovnichaya

We consider a Sturm--Liouville $L y = - y^{''} + q (x) y$ in space $L_{2} [0, π]$ with potential from Sobolev space $W_{2}^{- 1} [0, π]$ . Moreover, we assume, that $q = u^{'}$ , where $u \in L_{2} [0, π]$ . We co…

math.SP2008★ 2 cited

Equiconvergence theorems for Sturm--Liouville operators with distribution potentials^ the rate of equiconvergence

I. V. Sadovnichaya

We consider a Sturm--Liouville operator $L y = - y^{''} + q y$ in $L_{2} [0, π]$ with Dirichlet boundary conditions. We assume, that the potential $q$ is complex valued and belongs to Sobolev sp…

Uniconvergence theorems for Sturm--Liouville operators with potentials from Sobolev space W2−1​[0,π]

Equiconvergence theorems for Sturm--Liouville operators with distribution potentials^ the rate of equiconvergence

Uniconvergence theorems for Sturm--Liouville operators with potentials from Sobolev space $W_{2}^{- 1} [0, π]$