The Michigan Mathematical Journal

Surfaces with degenerate CR singularities that are locally polynomially convex

Gautam Bharali

Full-text: Open access

PDF File (185 KB)

Article information

Source
Michigan Math. J., Volume 53, Issue 2 (2005), 429-445.

Dates
First available in Project Euclid: 3 August 2005

Permanent link to this document
https://projecteuclid.org/euclid.mmj/1123090777

Digital Object Identifier
doi:10.1307/mmj/1123090777

Mathematical Reviews number (MathSciNet)
MR2152709

Zentralblatt MATH identifier
1087.32009

Subjects
Primary: 32E20: Polynomial convexity 46J10: Banach algebras of continuous functions, function algebras [See also 46E25]

Citation

Bharali, Gautam. Surfaces with degenerate CR singularities that are locally polynomially convex. Michigan Math. J. 53 (2005), no. 2, 429--445. doi:10.1307/mmj/1123090777. https://projecteuclid.org/euclid.mmj/1123090777


Export citation

References

  • E. Bishop, Differentiable manifolds in complex Euclidean space, Duke Math. J. 32 (1965), 1--21.
    Mathematical Reviews (MathSciNet): MR200476
    Digital Object Identifier: doi:10.1215/S0012-7094-65-03201-1
    Project Euclid: euclid.dmj/1077375631
  • F. Forstnerič, Analytic disks with boundaries in a maximal real submanifold of $\Bbb C^2,\!$ Ann. Inst. Fourier (Grenoble) 37 (1987), 1--44.
    Mathematical Reviews (MathSciNet): MR894560
  • F. Forstnerič and E. L. Stout, A new class of polynomially convex sets, Ark. Mat. 29 (1991), 51--62.
    Mathematical Reviews (MathSciNet): MR1115074
  • R. C. Gunning and H. Rossi, Analytic functions of several complex variables, Prentice-Hall, Englewood Cliffs, NJ, 1965.
    Mathematical Reviews (MathSciNet): MR180696
    Zentralblatt MATH: 0141.08601
  • B. Jöricke, Local polynomial hulls of discs near isolated parabolic points, Indiana Univ. Math. J. 46 (1997), 789--826.
    Mathematical Reviews (MathSciNet): MR1488338
  • E. Kallin, Fat polynomially convex sets, Function algebras (Proc. Internat. Sympos. on Function Algebras, Tulane University, 1965), pp. 149--152, Scott-Foresman, Chicago, 1966.
    Mathematical Reviews (MathSciNet): MR194618
    Zentralblatt MATH: 0142.10104
  • A. G. O'Farrell and K. J. Preskenis, Uniform approximation by polynomials in two functions, Math. Ann. 284 (1989), 529--535.
    Mathematical Reviews (MathSciNet): MR1006370
    Digital Object Identifier: doi:10.1007/BF01443349
  • J. Wermer, Approximation on a disk, Math. Ann. 155 (1964), 331--333.
    Mathematical Reviews (MathSciNet): MR165386
    Digital Object Identifier: doi:10.1007/BF01354865
  • J. Wiegerinck, Local polynomially convex hulls at degenerated CR singularities of surfaces in $\Bbb C^2,\!$ Indiana Univ. Math. J. 44 (1995), 897--915.
    Mathematical Reviews (MathSciNet): MR1375355
    Digital Object Identifier: doi:10.1512/iumj.1995.44.2014

University of Michigan, Department of Mathematics

The Michigan Mathematical Journal

New content alerts

Email RSS ToC RSS Article
  • You have access to this content.
  • You have partial access to this content.
  • You do not have access to this content.
Turn Off MathJax

What is MathJax?

More like this

+ See more