Irina I. Karpenko

activity

20102014

most citedIsospectrality for graph Laplacians under the change of coupling at graph vertices

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.SP2014★ 1 cited

Isospectrality for graph Laplacians under the change of coupling at graph vertices

Yulia Ershova, Irina I. Karpenko, Alexander V. Kiselev

Laplacian operators on finite compact metric graphs are considered under the assumption that matching conditions at graph vertices are of $δ$ and $δ^{'}$ types. An infinite series of…

math.FA2012

On Self-Adjointness Of 1-D Schrödinger Operators With $δ$ -Interactions

I. I. Karpenko, D. L. Tyshkevich

In the present work we consider in $L^{2} (R_{+})$ the Schrödinger operator $H_{X, α} = - \frac{d ^{2}}{d x ^{2}} + \sum_{n = 1}^{\infty} α_{n} δ (x - x_{n})$ . We investigate and com…

math.FA2010

On the model of a skew--selfadjoint operator with a simple spectrum on a Hilbert quaternion module

Dmitry Tyshkevich, Irina Karpenko

In this work we construct the model of a skew--selfadjoint operator with a simple spectrum acting on a Hilbert quaternion bimodule. This result is based on the Spectral Theorem for…

Isospectrality for graph Laplacians under the change of coupling at graph vertices

On Self-Adjointness Of 1-D Schrödinger Operators With δ-Interactions

On the model of a skew--selfadjoint operator with a simple spectrum on a Hilbert quaternion module

On Self-Adjointness Of 1-D Schrödinger Operators With $δ$ -Interactions