List of Publications by Siqi Fu

For preprints or reprints of any of the following papers, send an e-mail to sfu@camden.rutgers.edu

  1. A sharp estimate on the Bergman kernel of a pseudoconvex domain, Proceedings of the American Mathematical Society 121 (1994), 979--980.

  2. Some estimates of the Kobayashi metric in the normal direction, Proceedings of the American Mathematical Society 122 (1994), 1163-1169.

  3. On Completeness of invariant metrics of Reinhardt domains, Archiv der Mathematik(Basel) 63 (1994), 166-172

  4. Asymptotic expansions of invariant metrics of strictly pseudoconvex domains, Canadian Mathematical Bulletin 38 (1995), 196--206.

  5. Reinhardt domains with non-compact automorphism groups (with A. Isaev and S. Krantz), Mathematical Research Letters 3 (1996), 109-122.

  6. Examples of domains with non-compact automorphism groups (with A. Isaev and S. Krantz), Mathematical Research Letters 3 (1996), 609-617.

  7. Finite type conditions on Reinhardt domains (with A. Isaev and S. Krantz), Complex Variables: Theory and Application 31 (1996), 357-363.

  8. Geometry of Reinhardt domains of finite type in C2, Journal of Geometric Analysis 6 (1996), no.3, 407-431.

  9. On strictly pseudoconvex domains with Kahler-Einstein Bergman metrics (with B. Wong), Mathematical Research Letters 4 (1997), no. 5, 697-703.

  10. Spectral domains in several complex variables (with B. Russo), Rocky Mountain Journal of Mathematics 27 (1997), no. 4, 1095-1116.

  11. On boundary accumulation points of a smoothly bounded pseudoconvex domain in C2 (with B. Wong), Mathematische Annalen 310 (1998), no. 1, 183-196.

  12. Compactness of the d-bar-Neumann problem on convex domains (with E. Straube), Journal of Functional Analysis 159 (1998), 629-641. (AMS-TeX file, PS file).

  13. The Bergman kernel function: explicit formulas and zeroes (with H. Boas and E. Straube), Proceedings of the American Mathematical Society 127 (1999), 805-811. (LaTeX file, PS file).

  14. On a domain in C2 with piecewise smooth Levi-flat boundary and non-compact automorphism group (with B. Wong), Complex Variables: Theory and Application 42(2000), no. 1, 25-40. (AMS-TeX file, PS file).

  15. Transformation formulas for the Bergman kernels and projections of Reinhardt domains, Proceedings of the American Mathematical Society, 129 (2001), no. 6, 1769-1773. (PS file).

  16. Compactness in the d-bar-Neumann problem (with E. Straube), Complex Analysis and Geometry (J. McNeal, ed.), Ohio State University Mathmatical Research Institute Publication 9, de Gruyter, 2001, 141-160. (PS file).

  17. A smoothly bounded domain in a complex surface with a compact quotient (with W. Cheung, S. Krantz, and B. Wong), Mathematica Scandinavica 91 (2002), 82-90. (PS file).

  18. Semi-classical analysis of Schrödinger operators and compactness in the d-bar-Neumann problem (with E. Straube), Journal of Mathematical Analysis and Applications 271 (2002), 267-282. (PDF file). Correction, Journal of Mathematical Analysis and Applications 280 (2003), 195-196. (PDF file, PS file).

  19. Compactness in the d-bar-Neumann problem, magnetic Schrödinger operators, and the Aharonov-Bohm effect (with Michael Christ), Advances in Mathematics 197 (2005), 1-40.

  20. Hearing pseudoconvexity with the Kohn Laplacian, Mathematische Annalen 331 (2005), 475-485.

  21. Spectrum of the d-bar-Neumann Laplacian on polydiscs, Proceedings of the American Mathematical Society 135 (2007), 725--730.

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  22. Hearing the type of a domain in C2 with the d-bar-Neumann Laplacian, Advances in Mathematics 219 (2008), 568-603.

  23. The Kobayashi metric in the normal direction and the mapping problem, Complex Variables and Elliptic Equations 54 (2009), 2009, 303-316. (PDF file).

  24. The d-bar-cohomology groups, holomorphic Morse inequalities, and finite type conditions (with Howard Jacobowitz), 28 pages, Pure and Applied Mathematics Quarterly, to appear (PDF file).