Zobrazeno 1 - 10
of 89
pro vyhledávání: '"Hagen Neidhardt"'
Publikováno v:
Доклады Академии наук. 488:5-10
Let $$\mathcal{G}$$ be a metric, finite, noncompact, and connected graph with finitely many edges and vertices. Assume that the length of at least one of the edges is infinite. The main object of this paper is the Hamiltonian $${{{\mathbf{H}}}_{\alph
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64dbd1df688c52f2cd9734d11ebebd9a
https://doi.org/10.31857/s0869-565248815-10
https://doi.org/10.31857/s0869-565248815-10
Publikováno v:
Complex Variables and Elliptic Equations. 65:256-271
A model of scattering of elastic wave by point-like scatterers on the plane is suggested. Point-like perturbation is constructed for the two-dimensional Lame operator in the framework of th...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8047d82b6e5dfecbfbdfae360d45f685
https://doi.org/10.1080/17476933.2019.1579207
https://doi.org/10.1080/17476933.2019.1579207
Publikováno v:
Journal of Functional Analysis. 276:1575-1621
In this paper we develop the method of double operator integrals to prove trace formulae for functions of contractions, dissipative operators, unitary operators and self-adjoint operators. To establish the absolute continuity of spectral shift, we us
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b862ca7ef6f51596946acd1517fb0825
https://doi.org/10.1016/j.jfa.2018.05.011
https://doi.org/10.1016/j.jfa.2018.05.011
The book captures a fascinating snapshot of the current state of results about the operator-norm convergent Trotter-Kato Product Formulæ on Hilbert and Banach spaces. It also includes results on the operator-norm convergent product formulæ for solu
Autor:
Hagen Neidhardt, Jussi Behrndt
Publikováno v:
Analysis as a Tool in Mathematical Physics ISBN: 9783030315306
In this note a representation formula for the scattering matrix of a pair of self-adjoint extensions of a non-densely defined symmetric operator with infinite deficiency indices is proved with the help of quasi boundary triples and their Weyl functio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f83064198030b1f2b7a692879b9d958e
https://doi.org/10.1007/978-3-030-31531-3_12
https://doi.org/10.1007/978-3-030-31531-3_12
Publikováno v:
Nanosystems: Physics, Chemistry, Mathematics. 9:171-178
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c118b561799657dd8751d6eb600a890
https://doi.org/10.17586/2220-8054-2018-9-2-171-178
https://doi.org/10.17586/2220-8054-2018-9-2-171-178
Publikováno v:
Functional Analysis and Its Applications. 51:185-203
In this paper we prove that for an arbitrary pair {T 1, T 0} of contractions on Hilbert space with trace class difference, there exists a function ξ in L 1(T) (called a spectral shift function for the pair {T 1, T 0}) such that the trace formula tra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::305f0c462b56d1e596d0f18f8119f484
https://doi.org/10.1007/s10688-017-0183-2
https://doi.org/10.1007/s10688-017-0183-2
Publikováno v:
Comptes Rendus Mathematique. 355:806-811
In this note we study the problem of evaluating the trace of $f(T)-f(R)$, where $T$ and $R$ are contractions on Hilbert space with trace class difference, i.e., $T-R\in\boldsymbol{S}_1$ and $f$ is a function analytic in the unit disk ${\Bbb D}$. It i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44c12c27dddfa0066e798b4202840857
https://doi.org/10.1016/j.crma.2017.06.003
https://doi.org/10.1016/j.crma.2017.06.003
Publikováno v:
Функциональный анализ и его приложения. 51:33-55
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ee17b535dca8b3d52db92dc3a6f01393
https://doi.org/10.4213/faa3472
https://doi.org/10.4213/faa3472
Publikováno v:
Doklady Mathematics. 95:31-36
Infinite quantum graphs with δ-interactions at vertices are studied without any assumptions on the lengths of edges of the underlying metric graphs. A connection between spectral properties of a quantum graph and a certain discrete Laplacian given o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36ea29e02422ff6a43bc803426cb14af
https://doi.org/10.1134/s1064562417010136
https://doi.org/10.1134/s1064562417010136