Tianxuan Miao
Contact Information
Office: Ryan Building 2013
Phone: (807) 346-7722
Email: tmiao AT lakeheadu DOT ca
Office Hours: On Sabbatical - returning July 1, 2013
Math 2050 FA Applied Analysis I
Math 2111 FA Differential Equations
Sabbatical January 1, 2013 - July 1, 2013
Education
Ph.D. University of Alberta 1990
M.Sc. Heilongjiang University, China, 1985
B.Sc. Heilongjiang University, China, 1982
Work Experience
1990 - Present Lakehead University
1985 - 1989 Izaak Walton Killam Memorial Scholarship and Teaching Assistantship, University of Alberta
1982 - 1985 Sessional Lecturer, Heilongjinag Univ. and Worker's University of Harbin, China
Research Interests
Tianxuan Miap's research interest is in abstract harmonic analysis, an area that is the meeting ground of group theory, measure theory, Banach algebras, C*-algebras, functional analysis and geometry. His interest centers around the study of geometric, algebraic and topological properties of certain Banach algebras associated to a locally compact group G, particularly the so-called Fourier algebra A(G) and Fourier-Stieltjes algebras B(G), as well as the more general Banach algebras Ap( G) and Bp( G). Among some of the problems that Tianxuan works on are the Arens regularity of A(G) and Ap(G), the decomposition of Bp(G) and the characterization of Ap(G), extreme points of the unit ball of B(G), and exposed points of the set of invariant means.
Selected Publications
T. Miao, The isolated points of G p and the w* -strongly exposed points of Pp(G)o. Journal of the London Mathematical Society (2) 65 (2002), 693- 704.
T. Miao, Predual of the multiplier algebra ofAp(G) and amenability. Can. J. Math. 56 (2) (2004), 344- 355.
T. Miao, Characterizations of elements with compact support in the dual spaces of Ap(G)-modules of PMp(G). Proc. Amer. Math. Soc. 132 (12) (2004), 3671- 3678.
T. Miao, Unit elements in the double dual of a subalgebra of the Fourier algebra A(G). Math. Proc. Camb. Phil. Soc. (2007), 143, 343-347