Dr. Shijun Zheng

Department of Mathematical Sciences

Georgia Southern University, USA

Associate Professor

Email: szheng@georgiasouthern.edu

Qualifications

Ph.D., University of Maryland, USA

M.A., University of New Mexico, USA

M.S., Nanjing University, China

Publications (Selected)

1. Spectral multipliers for Schrodinger operators. Illinois Journal of Mathematics, Volume 54, No.2.
2. Note on gradient estimates of heat kernel for Schrodinger operators. 1 no.5, (2010) Applied Mathematics, 425-430.
3. Strichartz estimates and local wellposedness for the Schrodinger equation with the twisted sub-Laplacian. Proc. Centre Math. Appl. Austral. Nat. Univ. 44, Austral. Nat. Univ., Canberra, 2010, 233-243 (with Z. Zhang).
4. Besov spaces for the Schrodinger operator with barrier potential. ComplexAnalysis and Operator Theory 4 (2010), 777{811, Birkhauser. (with J. Benedetto).
5. Interpolation theorems for self-adjoint operators. Anal. Theory Appl. 25, no. 1, 2009, 79-85. Springer-Verlag.
6. Harmonic analysis related to Schrodinger operators. Contemporary Mathematics 464 2008, 213-230. AMS Book Series (with G. _ Olafsson).
7. Time decay for Schrodinger equation with rough potentials. Anal. Theo. Appl. 23(4), 2007.
8. Spectral multipliers for Schrodinger operators, I. Industrial Mathematics Institute Preprint Series 2007, No.2. 1-24, USC.
9. Time decay of quantum waves on Riemannian manifolds. Presented at AMS Conferences, Davidson, North Carolina 2007.
10. Function spaces associated with Schrodinger operators: The Poschl-Teller potential. Journal of Fourier Analysis and Applications 12 no.6, 2006. (with G. _ Olafsson).
11. Littlewood-Paley theorem for Schrodinger operators. Anal. Theo. Appl., 22(4), 2006. Springer-Verlag.
12. A representation formula related to Schrodinger operators, Anal. Theo. Appl., 20(3), 2004.
13. Besov spaces for Schrodinger operators, Dissertation, University of Maryland, College Park, 2003.
14. Ces_aro summability of Hardy spaces on the ring of integers in a local _eld, Journal of Mathematical Analysis and Applications, 249, 2000.
15. Remarks on self-similar fractal sets, Journal of Nanjing University, Mathematical Biquarterly, 16(1), 1999. (with Weixing Zheng).
16. Lp estimates for the iterated Hardy-Littlewood maximal operator, Approximation Theory and Its Application, 14(3), 1998. (with Weiyi Su).
17. Almost everywhere convergence of sequences of multiplier operators on local _elds, Science in China (Series A), 40(1), 1997. # MR 98g:43010 (with Weixing Zheng).
18. Riesz type kernels over the ring of integers of a local _eld, Journal of Mathematical Analysis and Applications, 208, 1997. # MR 98i:43003.
19. A note on Riesz means over the ring of p􀀀adic integers, Journal of Nanjing University, Mathematical Biquarterly, 13(1), 1996. # MR 97k:43012 (with Jianming Liu).

Profile Details

http://math.georgiasouthern.edu/~szheng/