Professor Research Research Areas: Analysis Applied Mathematics Research Interests: Links of Interest The Fields Institute for Research in the Mathematical Sciences (located at the University of Toronto) Centre de Recherches Mathematiques (located at the University of Montreal) The Pacific Institute for the Mathematical Sciences (located at the University of British Columbia) The Courant Institute of Mathematical Sciences (located at New York University, New York) The Institute for Advanced Studies, Princeton, NJ Mathematical Sciences Research Institute in Berkeley, California The Isaac Newton Institute for Mathematical Sciences, Cambridge, England AMS: American Math Society AMS: Mathematical Reviews Information Canadian Math Society Other Mathematics Service Providers Cornell Theory Math and Science Gateway TMR - Harmonic Analysis AMS list of mathematics journals AMS bookstore - analysis Financial Mathematics Mathematics Genealogy Project Mathematical quotations Biographies of famous mathematicians College and University home pages Mathematics Web Sites xxx.lanl.gov preprints in Classical Analysis, Complex Variables , Functional Analysis, Differential Geometry, Spectral Theory and Analysis of PDE Zentralblatt Math database Mathematical Association of America SIAM: Society for Industrial and Applied Mathematics The World-Wide Web Virtual Library: Mathematics Unsolved Mathematics Problems Mathscinet Search. Harmonic Analysis Google Jstor Mathematics ArXiv mapquest mathematical journals TeX Support Getting started with LaTeX TeX Frequently asked Questions Comprehensive TeX Archive Network TeX Users Group LaTeX help 1.1 LaTeX symbol tables; more symbols All about LaTeX2HTML Latex Emacs etc. for PC Selected Publications Selected Publications: 1. The Inverse of Some Differential Operators on the Heisenberg Group,Comm. in PDEs. Vol.20 (7&8)(1995), 1275-1302. Abstract: By using the pseudo-differential operator methods introduced by Beals and Greiner in studying the fundamental solution for the Heisenberg Laplacian, we find the symbol of the inverse of a very interesting PDO and the corresponding kernel. It is interesting to observe that the kernel of the fundamental solution depends very strongly on the dimension n. 2. Embedding $\text{\bf C}^1$ into $\text{\bf H}_1$ Canad.J. Math. Vol. 47 (6)(1996), 1317-1328. Abstract: In this paper, we proved directly a theorem of Greiner in $n=1$. This result implies that the classical Mikhlin-Calderon-Zygmund calculus for the Principal value convolution operators on $C^1$ is, in a natural way, the limit of Laguerre calculus for principal value convolution operators on the Heisenberg group. 3. (Joint with Der-Chen Chang)) Estimates for the spectral projection operators of the sub-Laplacian on the Heisenberg group J. Analyse. Math Vol.71 (6)(1997), 313-347. Abstract: We use Laguerre calculus to find the $L^p$ spectrum of the pair $({\mathcal L}, T)$. Here ${\mathcal L}$ is the Kohn's sub-Laplacian on the Heisenberg group. We find the kernels for the spectrum projection operators and show that they are Mikhlin-Calderon-Zygmundoperators. Estimates for the projection operators in various spaces were deduced. 4. The explicit solution of the $\bar\partial$-Neumann problem in the non-isotropic Siegel Domain. Canad. J. Math. Vol.49 (6) (1997),1299-132. Abstract: In this paper, we solve the $\bar\partial$-Neumann problem on (0,