I. Sadovnichaya

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

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.SP2015

$L_{μ} \to L_{ν}$ equiconvergence of spectral decompositions for Dirac system with $L_{ϰ}$ potential

Inna Sadovnichaya

We consider 1d-Dirac operator $L_{P, U}$ acting in $H = (L_{2} [0, π])^{2}$ \begin{gather*} \ell(\mathbf y) = B\mathbf y + P(x)\mathbf y,\qquad B = \begin{pmatrix}-i&0\\0&i…

math.SP2015

Riesz basicity with parentheses for Dirac system with summable potential

Artem Savchuk, Inna Sadovnichaya

We deal with the Dirac operator $L_{P, U}$ generated in the space $H = (L_{2} [0, π])^{2}$ by differential expression \begin{gather*} \ell_P(\mathbf y)=B\mathbf y'+P\mathbf…

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…

Lμ​→Lν​ equiconvergence of spectral decompositions for Dirac system with Lϰ​ potential

Riesz basicity with parentheses for Dirac system with summable potential

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

$L_{μ} \to L_{ν}$ equiconvergence of spectral decompositions for Dirac system with $L_{ϰ}$ potential

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