Results 31 to 40 of about 166,276,517 (302)

Topological transitivity of translation operators in a non-separable Hilbert space

Karpatsʹkì Matematičnì Publìkacìï, 2023
We consider a Hilbert space of entire analytic functions on a non-separable Hilbert space, associated with a non-separable Fock space. We show that under some conditions operators, like the differentiation operators and translation operators, are ...
Z.H. Novosad
doaj   +1 more source

Exact spin correlators of integrable quantum circuits from algebraic geometry

SciPost Physics
We calculate the correlation functions of strings of spin operators for integrable quantum circuits exactly. These observables can be used for the calibration of quantum simulation platforms.
Arthur Hutsalyuk, Yunfeng Jiang, Balazs Pozsgay, Hefeng Xu, Yang Zhang
doaj   +1 more source

Normal and self-adjoint composition operators on the space of analytic functions

Karpatsʹkì Matematičnì Publìkacìï, 2012
We consider spectral properties of normal composition operators and investigate some properties of self-adjoint operators on space of analytic functions on Hilbert space.
Z. G. Mozhyrovska
doaj   +1 more source

Integration in Hermite spaces of analytic functions

Journal of Complexity, 2015
We study integration in a class of Hilbert spaces of analytic functions defined on the $\mathbb{R}^s$. The functions are characterized by the property that their Hermite coefficients decay exponentially fast. We use Gauss-Hermite integration rules and show that the error of our algorithms decays exponentially fast.
Christian Irrgeher, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer   +3 more
openaire   +2 more sources

A Hankel Matrix Acting on Spaces of Analytic Functions [PDF]

Integral Equations and Operator Theory, 2017
If $μ$ is a positive Borel measure on the interval $[0, 1)$ we let $\mathcal H_μ$ be the Hankel matrix $\mathcal H_μ=(μ_{n, k})_{n,k\ge 0}$ with entries $μ_{n, k}=μ_{n+k}$, where, for $n\,=\,0, 1, 2, \dots $, $μ_n$ denotes the moment of order $n$ of $μ$. This matrix induces formally the operator $$\mathcal{H}_μ(f)(z)= \sum_{n=0}^{\infty}\left(\sum_{k=0}
Daniel Girela, Noel Merchán
openaire   +4 more sources

A Situational Assessment of the Diagnostic Landscape and Organizational Readiness to Implement Next‐Generation Sequencing at Two Childhood Cancer Treatment Centers in Ghana

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Purpose Next‐generation sequencing (NGS) has emerged as a promising approach to improve diagnostic accuracy, but its feasibility in low‐ and middle‐income countries remains unknown. This study characterized the diagnostic landscape and assessed organizational readiness for NGS implementation at two childhood cancer treatment centers in Accra ...
Melissa Carvalho, Emmanuella Amoako, Nihad Salifu, Lily Gloria Tagoe, Yaw Bediako, Michelle Hermiston, Catherine Segbefia   +6 more
wiley   +1 more source

Analytic functions and complex integration [PDF]

, 1971
This paper presents some basic theory of analytic function. The class of analytic functions is formed by the complex functions of a complex variable which possess a derivative wherever the function is defined.
Lin, Ying Mei, NC DOCKS at The University of North Carolina at Greensboro   +1 more
core  

Milnor number equals Tjurina number for functions on space curves [PDF]

, 2001
The equality of the Milnor number and Tjurina number for functions on space curve singularities, as conjectured recently by V. Goryunov, is proved.
David Mond, Mond, D. (David), Straten, Duco van, Duco Van Straten   +3 more
core   +1 more source

Approximation of analytic functions in Korobov spaces

Journal of Complexity, 2014
We study multivariate $L_2$-approximation for a weighted Korobov space of analytic periodic functions for which the Fourier coefficients decay exponentially fast. The weights are defined, in particular, in terms of two sequences $\boldsymbol{a} =\{a_j\}$ and $\boldsymbol{b} =\{b_j\}$ of numbers no less than one. Let $e^{L_2-\mathrm{app},Λ}(n,s)$ be the
Josef Dick, Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski   +3 more
openaire   +3 more sources

Forecasting the Dialysis Burden in Japan: Validation‐Based Projections of Prevalence and Incidence Through 2050

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Japan has one of the highest dialysis prevalence rates worldwide and a shrinking, aging population. Whether dialysis burden has entered a sustained post‐peak phase or whether recent declines partly reflect pandemic‐related disruptions remains uncertain.
Hatice Şahin, Berrak Itır Aylı, Nüket Paksoy   +2 more
wiley   +1 more source