supported by National Key R&D Program of China (Grant No. 2020YFA0713300);Nankai Zhide Foundation。
We give global structure of spectra of periodic non-Hermitian Jacobi operators by the discriminant and its stationary points. We also give necessary and sufficient conditions for real spectra and single interval spectra.
supported by National Natural Science Foundation of China(Grant Nos.11571083,11971178 and 11701597);the starting grant of South China Agricultural University;the Science and Technology Development Fund,Macao SAR(Grant Nos.154/2017/A3,079/2016/A2 and FDCT 0123/2018/A3)
We use the Weyl correspondence approach to investigate the spectral operators of the Laguerre and the Kautz systems. We show that the basic functions in the Laguerre and the Kautz systems are the eigenvectors of modif...
supported by National Natural Science Foundation of China (Grant No.10771034);Tian Yuan Foundation of China (Grant No.10926173);Fujian Natural Science Foundation (GrantNo.2009J05002)
This paper studies the structure of operators on Σ1e type Banach spaces.It solves the problem of the small compact perturbations of operators with connected spectra.Namely,it shows that every operator with a connecte...
This work was supported by the National Natural Science Foundation of China(Grant No.10171049);the Youth Project of Tianyuan Foundation(Grant No.10426028).
Let A be the mod p Steenrod algebra for p an arbitrary odd prime. In 1962, Liulevicius described h i and b k in Ext* A ’*(Zp,Zp) having bigrading (1, sui— 1) and (2, 2p k+1 x(p— 1)), respectively. In this paper we ...
This work was partially supported by National High-Tech ICF Committee in China; Ministry of Scienceand Technology, China, the National Natural Science Foundation of China ( Grant No. 19734030) ; Science and Technology Funds of CAEP.
In this paper we present a theoretical method to calculate the absorption spectra of hot dense plasmas. Based on our fully relativistic treatment incorporated with the quantum defect theory to handle the huge number o...
the National Natural Science Foundation of China (Grant No. 19973017) .
As for the 5′ × 4′(~llpc × 9pc) region centered at W51 lRSl the observations of the 3.4 mm continuum, CO (J = 1-0) line and simultaneous NH3(1,1), (2,2), (3,3), (4,4) inverse lines were made for studying the mass...
This work was supported by the National Natural Science Foundation of China(Grant No.19974057)
The excitation spectra in the wavelength range of 19—40 nm for highly ionized sulphur ions were measured by using the beam-foil method at the Heavy lon Research Facility in Lanzhou. In this experiment, more than 30 s...
Nanocrystalline silicon embedded Si02 matrix has been formed by annealing the a-SiOx films fabricated by plasma enhanced chemical vapor deposition technique. Absorption and photoluminescence spectra of the films have ...
Sodium layers (75–105 km) were measured by Na lidar on three nights during March 1–3, 1996. The lidar data were used to calculate the relative atmospheric density perturbations and their spectra. The average r. m. s...
Project supported by the National Natural Science Foundation of China (Grant No. 19377103);the Chinese Academy of Sciences
A Fermi resonance-algebraic model is proposed for molecular vibrations, where aU(2) algebra is used for describing the vibrations of each bond, and Fermi resonances between stretching and bending modes are taken into ...