On Bitangential Interpolation in the Time Varying Setting for Hilbert-Schmidt Operators: The Continuous Case

The Hilbert space of lower triangular Hilbert–Schmidt operators on the real line is a natural analogue of the Hardy space of a half-plane, where the complex numbers are now replaced by matrix-valued functions. One can associate with a bounded operator its “values” at a matrix-valued function [see Ballet al.,Oper. Theory Adv. Appl.56(1992), 52–89], and this allows [see Ballet al.,Integral Equations Operator Theory20(1994), 1–43] to define and solve the analogue of the two-sided Nudelman interpolation problem for bounded operators (which form an analogue ofH∞(C+)). In this paper we consider the two-sided interpolation problem with a Hilbert–schmidt norm constraint (rather than the more common operator-norm constraint) on the interpolant

On Bitangential Interpolation in the Time Varying Setting for Hilbert-Schmidt Operators: The Continuous Case

The Hilbert space of lower triangular Hilbert–Schmidt operators on the real line is a natural analogue of the Hardy space of a half-plane, where the complex numbers are now replaced by matrix-valued functions. One can associate with a bounded operator its “values” at a matrix-valued function [see Ballet al.,Oper. Theory Adv. Appl.56(1992), 52–89], and this allows [see Ballet al.,Integral Equations Operator Theory20(1994), 1–43] to define and solve the analogue of the two-sided Nudelman interpolation problem for bounded operators (which form an analogue ofH∞(C+)). In this paper we consider the two-sided interpolation problem with a Hilbert–schmidt norm constraint (rather than the more common operator-norm constraint) on the interpolant

DISTRIBUTION OF BIOCHEMICAL AND MOLECULAR-GENETIC MARKERS OF GENES IN WORKERS OF COAL MINING ENTERPRISES OF KUZBASS REGION SUFFERING FROM CHRONIC DUST BRONCHITIS

Distribution of genotypes of biochemical markers of HP, GC, EsD, АсР genes, genotypes on polymorphic variants of the genes coding enzymes of biotransformation GSTT1 (GST-ɵ1) and GSTM1 (GST-μ1) and NOS3 (VNTR4 polymorphism) in the miners with chronic mechanic bronchitis, and in persons without this occupational pathology is investigated. It is shown that the owners of EsD 1-2, АсР bb genotypes are most subject to development of chronic mechanic bronchitis. Endogen factors of resistance to this disease are GC 1-1, EsD 1-1, АсР bc genotypes

Association of COMT gene polymorphisms with Parkinson's disease

Parkinson’s disease (PD) is one of the most serious and widespread neurodegenerative disorders. Genetic susceptibility plays a significant role in the development of PD.The aim of our study was to investigate associations between single nucleotide polymorphisms (SNPs) of the COMT gene coding dopamine catabolism enzyme and Parkinson’s disease.Materials and methods. In this study seven SNPs (rs4680, rs6269, rs4633, rs4818, rs769224, rs165774, rs174696) of COMT were genotyped. 232 patients with PD and 127 healthy individuals in the Siberian region of Russia were examined. Venous blood samples were drawn as a marker of PD. Statistical differences in the prevalence of alleles and genotypes between groups of patients were assessed using IBM SPSS Statistics 23.1 software.Results. A significant association between the rs165774 polymorphism and PD was observed. Our study demonstrates that polymorphisms in the COMT gene may play an important role in the pathophysiology of Parkinson’s disease

Profound Chemopreventative Effects of a Hydrogen Sulfide-Releasing NSAID in the APC(Min/+) Mouse Model of Intestinal Tumorigenesis

Canadian Institutes of Health Research grant to JL

An extension problem for discrete-time almost periodically correlated stochastic processes

International audienc

An extension problem for discrete-time almost periodically correlated stochastic processes

International audienc