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Award ID contains: 1855737

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  1. (, Communications in analysis and geometry)
    Kefeng Liu (Ed.)
    We establish results on unique continuation at the boundary for the solutions of ∆u = f, f harmonic, and the biharmonic equation ∆^2u = 0. The work is motivated by analogous results proved for harmonic functions by X. Huang et al in [HK1], [HK2], and [HKMP] and by M. S. Baouendi and L. P. Rothschild in [BR1] and [BR2]. 
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    Accepted Manuscript Full Text Available
  2. (, Communications in analysis and geometry)
    Kefeng Liu (Ed.)
    We establish results on unique continuation at the boundary for the solutions of ∆u = f, f harmonic, and the biharmonic equation ∆^2u = 0. The work is motivated by analogous results proved for harmonic functions by X. Huang et al in [HK1], [HK2], and [HKMP] and by M. S. Baouendi and L. P. Rothschild in [BR1] and [BR2]. 
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    Accepted Manuscript Full Text Available
  3. (, Notices of the American Mathematical Society)
    Accepted Manuscript Full Text Available
  4. (, Notices of the American Mathematical Society)
    Accepted Manuscript Full Text Available
  5. (, Transactions of the American Mathematical Society)
    We prove a generalization of the microlocal version of Bochner’s tube theorem obtained in Baouendi and Tr`eves [Indiana Univ. Math. J. 31 (1982), pp. 885–895]. The results provide a class of CR structures where CR functions extend holomorphically to a full neighborhood of a point which may be of infinite type. 
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    Full Text Available 
  6. (, Transactions of the American Mathematical Society)
    We prove a generalization of the microlocal version of Bochner’s tube theorem obtained in Baouendi and Tr`eves [Indiana Univ. Math. J. 31 (1982), pp. 885–895]. The results provide a class of CR structures where CR functions extend holomorphically to a full neighborhood of a point which may be of infinite type. 
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    Accepted Manuscript Full Text Available
  7. (, Advances in mathematics)
    Yanyan Li (Ed.)
    We prove results on unique continuation at the boundary for the solutions of real analytic elliptic partial differential equations. The work is motivated by and generalizes the main results of X. Huang et al. in [15] and [16], and M.S. Baouendi and L.P. Rothschild in [5]. 
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    Full Text Available 
  8. ; (, Houston journal of mathematics)
    Min Ru (Ed.)
    We show that a subclass of the generalized FBI transforms that were introduced by S. Berhanu and J. Hounie are bounded on Sobolev Spaces. 
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    Accepted Manuscript Full Text Available
  9. (, Complex analysis and its synergies)
    Steven Krantz (Ed.)
    We explore some links between the holomorphic extendability of CR functions on a hypersurface and the validity of the strong maximum prin- ciple for continuous CR functions. 
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