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pro vyhledávání: '"Victor Katsnelson"'
Autor:
Victor Katsnelson
Publikováno v:
St. Petersburg Mathematical Journal. 30:457-469
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::89f37ada033fa931052bad2eaad65eb1
https://doi.org/10.1090/spmj/1553
https://doi.org/10.1090/spmj/1553
Autor:
Victor Katsnelson
Publikováno v:
Analysis as a Tool in Mathematical Physics ISBN: 9783030315306
We study the integral transform which appeared in a different form in Akhiezer’s textbook “Lectures on Integral Transforms”.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf091d337635b35f7b52324e2f18e755
https://doi.org/10.1007/978-3-030-31531-3_23
https://doi.org/10.1007/978-3-030-31531-3_23
Autor:
Victor Katsnelson
Publikováno v:
Integral Equations and Operator Theory. 86:439-452
Given a pair \(A,B\) of matrices of size \(n\times n\), we consider the matrix function \(e^{tA+B}\) of the variable \(t\in \mathbb {C}\). If the matrix \(A\) is Hermitian, the matrix function \(e^{tA+B}\) is representable as the bilateral Laplace tr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3dc12ae0e7da5ca9169a423f01003b1e
https://doi.org/10.1007/s00020-016-2327-9
https://doi.org/10.1007/s00020-016-2327-9
Autor:
Victor Katsnelson
Publikováno v:
Arnold Mathematical Journal. 2:439-448
Let $\nu_0(t),\nu_1(t),\,\ldots\,,\nu_n(t)$ be the roots of the equation $R(z)=t$, where $R(z)$ is a rational function of the form \[R(z)=z+\sum\limits_{k=1}^n\frac{\alpha_k}{z-\mu_k},\] $\mu_k$ are pairwise different real numbers, $\alpha_k>0,\,1\le
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fff532e462583f5bc808c6ae9715a8a5
https://doi.org/10.1007/s40598-016-0051-9
https://doi.org/10.1007/s40598-016-0051-9
Autor:
Victor Katsnelson
Publikováno v:
Integral Equations and Operator Theory. 86:113-119
The BMV conjecture states that for $n\times n$ Hermitian matrices $A$ and $B$ the function $f_{A,B}(t)=trace{\, } e^{tA+B}$ is exponentially convex. Recently the BMV conjecture was proved by Herbert Stahl. The proof of Herbert Stahl is based on ingen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::396b5a4acc4e121a0c42e1f442e8626b
https://doi.org/10.1007/s00020-016-2309-y
https://doi.org/10.1007/s00020-016-2309-y
Autor:
Victor Katsnelson
Publikováno v:
Complex Analysis and Operator Theory. 11:857-873
To \(2\times 2\) matrix G with complex entries, the sequence of Laurent polynomial \(L_n(z,G)={{\mathrm{tr}}}\left( G\left[ \begin{matrix} z&{}0\\ 0&{}z^{-1} \end{matrix} \right] G^{*}\right) ^n\) is related. It turns out that for each n, the family
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3926b5ca67c35afa4b3ba462ffdcbd31
https://doi.org/10.1007/s11785-016-0568-x
https://doi.org/10.1007/s11785-016-0568-x
Autor:
Victor Katsnelson
Publikováno v:
Integral Equations and Operator Theory. 85:381-398
Given positive numbers a and b, the function \({\sqrt{at^2+b}}\) is exponentially convex function of t on the whole real axis. Three proofs of this result are presented.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea3c426ce8a79d87aba9f6af5d29a423
https://doi.org/10.1007/s00020-016-2301-6
https://doi.org/10.1007/s00020-016-2301-6
Autor:
Victor Katsnelson
Publikováno v:
Complex Analysis and Dynamical Systems VI. :141-157
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2df61659df2020365682636dfceb4d23
https://doi.org/10.1090/conm/667/13536
https://doi.org/10.1090/conm/667/13536
Autor:
Victor Katsnelson
Publikováno v:
Complex Analysis and Operator Theory. 11:843-855
The BMV conjecture states that for \(n\times n\) Hermitian matrices \(A\) and \(B\) the function \(f_{A,B}(t)={{\mathrm{trace\,}}}e^{tA+B}\) is exponentially convex. Recently the BMV conjecture was proved by Herbert Stahl. The proof of Herbert Stahl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9cd41c3610151c6f857c1d320606ff0
https://doi.org/10.1007/s11785-015-0513-4
https://doi.org/10.1007/s11785-015-0513-4
Autor:
Victor Katsnelson
Publikováno v:
Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations ISBN: 9783319688480
We consider the formal prolate spheroid differential operator on a finite symmetric interval and describe all its self-adjoint boundary conditions. Only one of these boundary conditions corresponds to a self-adjoint differential operator which commut
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a1b8582730bf791ed9c3c76d77ee1fae
https://doi.org/10.1007/978-3-319-68849-7_14
https://doi.org/10.1007/978-3-319-68849-7_14