Publications and Preprints of Xianghong Gong
- (with S. M. Webster)
Regularity for the CR embedding
problem, preprint.
dvi
- (with S. M. Webster)
Regularity for the CR vector
bundle problem II, preprint.
dvi
- Existence of
divergent Birkhoff normal forms of Hamiltonian functions, preprint.
dvi
- (with S. M. Webster)
Regularity for the CR vector bundle
problem I, Pure and Applied Mathematics Quarterly. 6 (2010), no.3, 983-998.
- (with P. Ahern)
Real
analytic manifolds in C^n
with parabolic complex tangents along a submanifold of codimension one, Ann. Fac. Sci. Toulouse Math.. 18(2009), no.1, 1-64. dvi
- (with P. Ahern)
Pairs of
involutions of glancing hypersurfaces, Asian J. Math.. 11(2007), no.1, 19-38.
- (with J.-P. Rosay)
Differential inequalities of continuous functions and removing
singularities of Rado type for J-holomorphic maps, Math. Scand. 101(2007), no.1, 293-319.
- (with P. Ahern)
Cusp-type singularities of real analytic curves in the complex plane, in Geometric Analysis of PDE and
Several Complex Variables,
Contemporary Mathematics 368(2005), 1-23.
ps
- (with P. Ahern)
A complete classification
for pairs of real analytic curves in the complex plane, J.
Dynam. Control Systems 11(2005), no. 1, 1-71;
Erratum 13(2007), no. 2, 307-312.
- Anti-holomorphically reversible holomorphic maps that are not
holomorphically reversible,
Geometric function theory in several complex variables,
151--164, World Sci. Publishing, River Edge, NJ, 2004. ps
- (with P. Cordaro)
Normalization of complex-valued planar
vector fields which degenerate along a real curve, Adv. Math. 184(2004), no.1, 89-118.
- Existence of real analytic surfaces with hyperbolic complex
tangent that are formally but not holomorphically equivalent to
quadrics, Indiana Univ. Math. J. 53 (2004), no.1, 83-96.
- Quantitative estimates for periodic points of reversible and
symplectic holomorphic mappings, Math. Ann. 323(2002), no. 2,
227-257.
- Conformal maps and non-reversibility of elliptic area-preserving
maps, Math. Z. 237(2001), no. 2,
275-300.
- Levi-flat invariant sets of holomorphic symplectic
mappings, Ann. Inst. Fourier (Grenoble) 51(2001), no. 1,
151-208.
- Conformal maps, monodromy transformations, and non-reversible
Hamiltonian systems, Math. Res. Lett. 7 (2000), no. 4, 471-476.
- (with D. Burns)
Singular Levi-flat real analytic
hypersurfaces, Amer. J. Math. 121(1999), no. 1,
23-53.
- On totally real spheres in complex space, Math. Ann.
309(1997), no. 4,
611-623.
- Unimodular invariants of totally real tori in C^n, Amer.
J. Math. 119(1997), no. 1,
19-54.
- Divergence of the normalization for real Lagrangian surfaces with
complex tangents, Pacific J. Math. 176(1996), no. 2, 311-324.
- Fixed points of elliptic reversible transformations with integrals, Ergodic Theory Dynam. Systems. 16(1996), no. 4,
683-702.
- Integrable analytic vector fields with a nilpotent linear part, Ann. Inst. Fourier (Grenoble) 45(1995), no. 5, 1449-1470.
- Real analytic submanifolds under unimodular transformations, Proc. Amer. Math. Soc. 123(1995), no. 1, 191-200.
- On the convergence of normalizations of real analytic surfaces near hyperbolic complex tangents, Comment. Math. Helv. 69(1994), no. 4, 549-574.
- Normal forms of real surfaces under unimodular transformations near elliptic complex tangents, Duke Math. J. 74(1994), no. 1, 145-157.
- Divergence for the normalization of real analytic glancing hypersurfaces, Comm. Partial Differential Equations 19 (1994), no. 3-4, 643-654.
- (with H. H. Chen)
Singular directions and differential polynomials of meromorphic functions, A Chinese summary appears in Acta Math. Sinica 36 (1993), no. 5, 720. Acta Math. Sinica (N.S.) 8 (1992), no. 4, 424-431.
- (with Y. X. Gu)
On Hayman directions Sci. Sinica Ser. A 31(1988), no. 9, 1053-1064.
- The homogeneous differential polynomials and angular distribution of meromorphic functions. (Chinese) Acta Math. Sinica 30(1987), no. 3, 378-389.
- (with X. R. Zhu)
Homogeneous differential polynomials and normal families. (Chinese)
Nanjing Daxue Xuebao Shuxue Bannian Kan 3 (1986), no. 1, 43-49.
For hard copy, please
send an email
message to gong@math.wisc.edu.