Results 41 to 50 of about 508,252 (212)
Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complete pseudoconvex Reinhardt domains [PDF]
, 2017 summary:On complete pseudoconvex Reinhardt domains in $\mathbb {C}^2$, we show that there is no nonzero Hankel operator with anti-holomorphic symbol that is Hilbert-Schmidt. In the proof, we explicitly use the pseudoconvexity property of the domain.
Yunus E.~Zeytuncu +3 more
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Emergent parallel transport and curvature in Hermitian and non-Hermitian quantum mechanics [PDF]
QuantumStudies have shown that the Hilbert spaces of non-Hermitian systems require nontrivial metrics. Here, we demonstrate how evolution dimensions, in addition to time, can emerge naturally from a geometric formalism.
Chia-Yi Ju +4 more
doaj +1 more source
Tate tame symbol and the joint torsion of commuting operators [PDF]
, 2020 We investigate determinants of Koszul complexes of holomorphic functions of a commuting tuple of bounded operators acting on a Hilbert space. Our main result shows that the analytic joint torsion, which compares two such determinants, can be computed by ...
Kaad, Jens, Nest, Ryszard
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Noncommutative Hilbert modular symbols [PDF]
Algebra & Number Theory, 2015 The main goal of this paper is to construct non-commutative Hilbert modular symbols. However, we also construct commutative Hilbert modular symbols. Both the commutative and the non-commutative Hilbert modular symbols are generalizations of Manin's classical and non-commutative modular symbols.
openaire +4 more sources
On Determinant Expansions for Hankel Operators
Concrete Operators, 2020 Let w be a semiclassical weight that is generic in Magnus’s sense, and (pn)n=0∞({p_n})_{n = 0}^\infty the corresponding sequence of orthogonal polynomials. We express the Christoffel–Darboux kernel as a sum of products of Hankel integral operators.
Blower Gordon, Chen Yang
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Hyperparameter-Free RFF Based Post-Distorter for OTFS VLC System
IEEE Photonics Journal, 2023 Visible light communication (VLC) has emerged as an eco-friendly and low-cost technology for the next-generation communication systems. However, for VLC systems, existing works report performance degradation due to light-emitting-diode (LED) non ...
Anupma Sharma +5 more
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A Hilbert reciprocity law on 3-manifolds
, 2022 Based on our homological idelic class field theory, we formulate an analogue of the Hilbert reciprocity law on a rational homology 3-sphere endowed with an infinite link, in the spirit of arithmetic topology; We regard the intersection form on the ...
Ueki, Jun, Niibo, Hirofumi
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On some integral representations of groups and global irreducibility. [PDF]
International Journal of Group Theory, 2018 Arithmetic aspects of integral representations of finite groups and their irreducibility are considered with a focus on globally irreducible representations and their generalizations to arithmetic rings.
Dmitry Malinin
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Artan Operatör Konveks Fonksiyon İçin Berezin Sayı Eşitsizliği
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2021 Normalleştirilmiş $K_{\lambda}:=\frac{k_{\lambda}}{\left\Vert k_{\lambda}\right\Vert_{\mathcal{H}}}$, üretici çekirdekli $\mathcal{H}\left( \Omega\right) $, Hilbert uzayı üzerinde $A$ sınırlı lineer operatör için Berezin sembolü ve Berezin sayısı ...
Mehmet Gürdal +2 more
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Parallel Sum of Bounded Operators with Closed Ranges
Mathematics, 2023 Let H be a separable infinite dimensional complex Hilbert space and B(H) be the set of all bounded linear operators on H. In this paper, we present several conditions under which the distributive law of the parallel sum is valid.
Wenting Liang
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