ArticleOriginal scientific text

Title

Real analytic maximum modulus manifolds in strictly pseudoconvex boundaries

Authors 1

Affiliations

  1. Université Pierre et Marie Curie Paris VI, Mathématiques, 4, Place Jussieu, 75252 Paris Cedex 05, France

Bibliography

  1. [BI] L. Boutet de Monvel et A. Iordan, Sur les feuilletages ℂ-tangents des sous-variétés du bord d'une variété complexe, Astérisque 217 (1993), 39-52.
  2. [BS] D. Burns and E. L. Stout, Extending functions from submanifolds of the boundary, Duke Math. J. 43 (1976), 391-404.
  3. [CC1] J. Chaumat et A. M. Chollet, Ensembles pics pour A(D), Ann. Inst. Fourier 29 (3) (1979), 171-200.
  4. [CC2] J. Chaumat et A. M. Chollet, Caractérisation et propriétés des ensembles localement pics de A(D), Duke Math. J. 47 (1980), 763-787.
  5. [DS] Th. Duchamp and E. L. Stout, Maximum modulus sets, Ann. Inst. Fourier 31 (3) (1981), 37-69.
  6. [FH] J. E. Fornaess and B. S. Henriksen, Characterisation of global peak sets for A(D), Math. Ann. 259 (1982), 125-130.
  7. [HS] M. Hakim et N. Sibony, Ensembles pics dans des domaines strictement pseudoconvexes, Duke Math. J. 45 (1978), 601-617.
  8. [HW] F. R. Harvey and R. O. Wells Jr., Zero-sets of non-negative stricly plurisubharmonic functions, Math. Ann. 201 (1973), 165-170.
  9. [HT] G. M. Henkin and A. E. Tumanov, Interpolation submanifolds of pseudoconvex manifolds, in: Proc. Seventh Winter School, Drogobych 1974, Theory of functions and functional analysis, Central. Ekonom.-Mat. Inst. Akad. Nauk SSSR, Moscow, 74-86 (1976); English transl. in Amer. Math. Soc. Transl. 115 (2) (1980), 59-69.
  10. [I1] A. Iordan, A characterisation of totally real generic submanifolds of strictly pseudoconvex boundaries admitting a local foliation by interpolation submanifolds, Math. Ann. 288 (1990), 505-510.
  11. [I2] A. Iordan, Maximum modulus sets in pseudoconvex boundaries, J. Geometric Anal. 2 (4) (1992), 327-349.
  12. [NR] A. Nagel and J. P. Rosay, Maximum modulus sets and reflection sets, Ann. Inst. Fourier 41 (2) (1991), 431-466.
  13. [R] J. P. Rosay, A propos de wedges et d'edges et de prolongements holomorphes, Trans. Amer. Math. Soc. 297 (1986), 63-72.
  14. [WEB] S. Webster, On the reflection principle in several complex variables, Proc. Amer. Math. Soc. 71 (1978), 26-28.
  15. [WEI] A. Weinstein, Lectures on Symplectic Manifolds, CBMS Regional Conf. Ser. in Math. 29, Amer. Math. Soc., Providence, R.I., 1977.
Pages:
197-206
Main language of publication
English
Published
1995
Exact and natural sciences