Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Benjamin Eichinger"'
Publikováno v:
Journal of Spectral Theory. 11:1255-1277
We prove that limit-periodic Dirac operators generically have spectra of zero Lebesgue measure and that a dense set of them have spectra of zero Hausdorff dimension. The proof combines ideas of Avila from a Schr\"odinger setting with a new commutatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a066468964abddf5d5f8a8029ec6c490
http://arxiv.org/abs/2203.12650
http://arxiv.org/abs/2203.12650
Publikováno v:
Transactions of the American Mathematical Society, Series B. 6:1-44
We establish precise spectral criteria for potential functions $V$ of reflectionless Schr\"odinger operators $L_V = -\partial_x^2 + V$ to admit solutions to the Korteweg de-Vries (KdV) hierarchy with $V$ as an initial value. More generally, our metho
Autor:
Benjamin Eichinger, Philipp Gohlke
Publikováno v:
Annales Henri Poincare
We study the spectral properties of ergodic Schr\"{o}dinger operators that are associated to a certain family of non-primitive substitutions on a binary alphabet. The corresponding subshifts provide examples of dynamical systems that go beyond minima
Autor:
Benjamin Eichinger, Peter Yuditskii
The standard well-known Remez inequality gives an upper estimate of the values of polynomials on $$[-1,1]$$ [ - 1 , 1 ] if they are bounded by 1 on a subset of $$[-1,1]$$ [ - 1 , 1 ] of fixed Lebesgue measure. The extremal solution is given by the re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3243b0f423a4458e6776f91a9b48396b
Autor:
Benjamin Eichinger, Peter Yuditskii
Publikováno v:
Sbornik: Mathematics. 209:320-351
We raise a conjecture that asymptotics for Chebyshev polynomials in a complex domain can be given in terms of the reproducing kernels of a suitable Hilbert space of analytic functions in this domain. It is based on two classical results due to Garabe
Autor:
Benjamin Eichinger, Peter Yuditskii
Publikováno v:
Математический сборник. 209:34-66
Autor:
Benjamin Eichinger
Publikováno v:
Journal of Approximation Theory. 217:15-25
Thiran and Detaille give an explicit formula for the asymptotics of the sup-norm of the Chebyshev polynomials on a circular arc. We give the so-called Szegő–Widom asymptotics for this domain, i.e., explicit expressions for the asymptotics of the c
We prove a bijective unitary correspondence between 1) the isospectral torus of almost-periodic, absolutely continuous CMV matrices having fixed finite-gap spectrum and 2) special periodic block-CMV matrices satisfying a Magic Formula. This latter cl
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3ae6f1ad4f788a60d6fcc20d9ed2533
Publikováno v:
Computational Methods and Function Theory. 16:3-41
We give a free parametric representation for the coefficient sequences of Jacobi matrices whose spectral measures satisfy the Killip–Simon condition with respect to two (arbitrary) disjoint intervals. This parametrization is given by means of the J