Gautam Bharali

               Department of Mathematics

                  Indian Institute of Science

                  Bangalore 560012

 

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PUBLICATIONS

Ph.D. DISSERTATION

On smooth peak-interpolation sets for weakly pseudoconvex domains, July 2002, University of Wisconsin-Madison.

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PAPERS

This section of the page is devoted primarily to listing my publications in peer-reviewed journals. I shall generally be tardy in uploading

  • short notes, popular/expository articles, biographies/obituaries, etc.,
  • articles in conference/commemorative proceedings,
  • completed articles that have not yet been submitted.
The interested reader will find (most of) the above posted at the mathematics arXiv.

  • Polynomial approximation, local polynomial convexity, and degenerate CR singularities–II, to appear in Internat. J. Math.  PostScript file   PDF file

  • (with Sushil Gorai) Uniform algebras generated by holomorphic and close-to-harmonic functions, Proc. Amer. Math. Soc. 139 (2011), 2183-2189.  PostScript file   PDF file

  • Model pseudoconvex domains and bumping, to appear in Int. Math. Res. Not. (IMRN)  PostScript file   PDF file

  • The local polynomial hull near a degenerate CR singularity—Bishop discs revisited, to appear in Math. Z.  PostScript file   PDF file

  • On the growth of the Bergman kernel near an infinite-type point, Math. Ann. 347 (2010), 1-13.  PostScript file   PDF file

  • (with Berit Stensønes) Plurisubharmonic polynomials and bumping, Math. Z. 261 (2009), 39-63.  PostScript file   PDF file

  • Some new observations on interpolation in the spectral unit ball, Integral Eqns. Operator Theory 59 (2007), 329-343.  PostScript file   PDF file

  • (with Olga Holtz) Functions preserving nonnegativity of matrices, SIAM J. Matrix Anal. Appl. 30 (2008), 84-101.  PostScript file   PDF file

  • Polynomial approximation, local polynomial convexity, and degenerate CR singularities, J. Funct. Anal. 236 (2006), 351-368.  PostScript file   PDF file

  • Surfaces with CR singularities that are locally polynomially convex, Michigan Math. J. 53 (2005), 429-445.  PostScript file   PDF file

  • (with David E. Barrett) The role of Fourier modes in extension theorems of Hartogs-Chirka type, Math. Z. 249 (2005), 883-901.  PostScript file   PDF file

  • Peak-interpolating curves for A(Omega) for finite-type domains in C^2, Pacific J. Math. 218 (2005), 283-297.  PostScript file   PDF file

  • Peak-interpolation manifolds for A(Omega) for convex domains in C^n, Trans. Amer. Math. Soc. 356 (2004), 4811-44827.  PostScript file   PDF file

  • On analytic interpolation manifolds in the boundaries of weakly pseudoconvex domains, Complex Variables Theory Appl. 47 (2002), 939-951.  PostScript file   PDF file

  • Some generalizations of Chirka's extension theorem, Proc. Amer. Math. Soc. 129 (2001), 3665-3669.  PostScript file   PDF file

Page last updated on October 14, 2011