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Complete List of Publications
- 1, "A cross-section from inner function to invariant
subspaces", Int. Equ. and
Oper. Theory 28(1997), no. 2, 238--244.
- 2, "Quotient Hardy modules" with R. G. Douglas,
Houston J. Math. 24 (1998), no. 3, 507--517.
- 3, "BCL index and Fredholm tuples", Proc. Amer. Math. Soc. 127 (1999), no.
8, 2385--2393.
- 4, "Berger-Shaw theorem in the Hardy space over the bidisk",
J. Oper. Theory (1999), vol. 42, no. 2, 379--404.
- 5, "Operator theory in the Hardy space over the bidisk(I)", (with
R. G. Douglas) Int. Equ. and
Oper. Theory, 38(2000), no. 2, 207--221.
- 6, "Operator theory in the Hardy space over the bidisk(II)",
Int. Equ.
and Oper. Theory, 42 (2002) 99-124. .
- 7, "Operator theory in the Hardy space over the bidisk(III)",
J. of Funct.
Analy., 186, 521-545 (2001) .
- 8, "A trace formula for isometric pairs", Proc. A.M.S.131 (2003), No.2, 533-541 .
- 9, "Beurling's phenomenon in two variables", Integr. Equ. Oper.
Theory, 48 (2004), No.3, 411-423.
- 10, "On Two variable Jordan block", Acta Sci. Math. (Szeged),
69 (2003), No.3-4, 739-754.
- 11, "The core function for the Hardy modules on the torus", (with
K. Guo), Indiana Univ. Math. J, 53(2004), No.1, 205-222.
- 12, "Strictly contractive compression on the torus", (with K.
Izuchi), Acta. Sci. Math. (Szeged), 70(2004), No.1-2, 147-165.
- 13, "The root operator on Bergman shift invariant subspaces",
(with K. Zhu), Illinois J. Math., 47 (2003), No.4, 1227-1242.
- 14, "Hilbert-Schmidt submodules and issues of unitary equivalence",
J. Oper. Theory 53 (2005), No.1, 169-184.
- 15, "The core operator and congruent submodules", J. Funct. Anal. 228 (2005), no. 2, 469�489.
- 16, "On two variable Jordan block. II", Integral Equations Operator Theory 56 (2006), no. 3, 431�449.
- 17, "Inner sequence based invariant subspaces in $H^2(D^2)$" (with M. Seto), Proc. Amer. Math. Soc. 135 (2007), no. 8, 2519�2526
- 18, "Functional spectrum of contractions", J. Funct. Anal. 250 (2007), no. 1, 68�85.
- 19, "N_f-type quotient modules on the torus" (with K. Izuchi), New York J. Math. 14 (2008), 431�457.
- 20, "A note on classification of submodules in $H^2(D^2)$", Proc. Amer. Math. Soc. 137 (2009), no. 8, 2655�2659.
- 21, "Projective spectrum in Banach algebras", J. Topol. Anal. 1 (2009), no. 3, 289�306.
- 22, "On the spectrum of operator-valued entire functions" (with J. Bannon and P. Cade), Illinois. J. of Math. 55 No. 4 (2011).
- 23, "Analyticity of joint spectrum via determinant" (with M. Stessin and K. Zhu), New York J. of Math. 17A(2011).
- 24, �Jordan blocks and strong irreducibility� (with C. Jiang), New York J. Math. 17 (2011).
- 25, �An index formula for the two variable Jordan block� (with Y. Lu and Y. Yang), Proc. Amer. Math. Soc. 139 (2011), no. 2.
- 26, �Projective spectrum and cyclic cohomology� (with P. Cade) J. of Functional Analysis Vol. 265 No. 9 (2013).
- 27, �A Characterization of Submodules via Beurling-Lax-Halmos Theorem� (with Y. Qin), Proc. Amer. Math. Soc. 142 (2014), no. 10.
- 28, �An elementary inequality about Mahler measure� (with K. Stulov), Involve 6 (2013), no. 4.
- 29, �A note on multi-variable Berger-Shaw theorem� (with Y. Yang), Houston J. of Math. 41 no. 1 (2015) 273-278.
- 30, �Numerical invariants of commuting isometric pairs� (with W. He and Y. Qin), Indiana Univ. Math. Journal Vol. 64 no. 1 (2015), 1-19.
- 31, �Projective spectrum and Kernel bundle� (with W. He), Sci. China. Math. Vol. 57 (2014), 1-10..
- 32, �Projective spectrum and kernel bundle (II)�(with W. He and X. Wang), J. of Operator Theory 78 (2017), No. 2, 417-433.
- 33, �Krein space representation and Lorentz groups of submodules in the Hardy space over the bidisk� (with M. Seto and Y. Wu), Sci. China. Math. Vol. 61 (2018) No. 4, 745-768.
- 34, �A note on Rudin's pathological submodules in H^2(D^2)�, Intgr. Equ. Oper. Theory 88 (2017), No. 3, 363-372.
- 35, �Joint spectrum and infinite dihedral group�(with R. Grigorchuk), Proc. of the Steklov Institute of Math., 2017, Vol. 297, 145-178.
- 36, �Numerical invariants of homogeneous submodules in H^2(D^2)� (with F. Azarikey and Y. Lu), New York J. of Math. 23 (2017), 505-526.
- 37, �Hermitian geometry on resolvent set�(with R. Douglas), Oper. Theory, Oper. Alg. and Matrix Theory, pp 167-184; Operator Theory: Adv. and Appl. 267, Birkhauser, 2018.
- 38, �Quasinilpotent operator and non-Euclidean metrics� (with Y. X. Liang), J. Math. Anal. Appl. 468 (2018) 939-958.
- 39, �Hilbert-Schmidtness of some finitely generated submodules in H^2(D^2)� (with K. J. Izuchi and S. Luo), J. Math. Anal. Appl. 465 (2018), 531�546.
- 40, �On the characteristic polynomials of multiparameter pencils� (with Z. Hu), Linear Algebr. Appl. 558 (2018), 250-263.
- 41, �Self-adjoint elements in the pseudo-unitary group U(p,p)� (with S. Munshi), Linear Algebra and its Applications 560 (2019), 100�113.
- 42, �Energy functional of the Volterra operator� (with Y. X. Liang), Banach J. of Math. 13 (2019), no. 2, 255�274.
- 43, �Hermitian metric and the infinite dihedral group� (with B. Goldberg), Proc. Steklov. Inst. Math. 304 (2019), pp. 136�145.
- 44, �Hermitian geometry on resolvent set (II)� (with R. Douglas), to appear in Sci. China.
- 32, �Xi Dian Lecture note�
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