Issue 3, Volume 27, December 2002

2002 · Open access

1. Preface Preface PDF
2. PROFESSOR LE VAN THIEM (1918-1991) HOANG TUY PDF

   245-247
3. ON THE MATHEMATICAL WORK OF LE VAN THIEM HA HUY KHOAI, NGUYEN THANH VAN PDF

   249-250
4. A NEW CLASS OF UNIQUE RANGE SETS FOR MEROMORPHIC FUNCTIONS ON $\mathbb C$ TA THI HOAI AN PDF

   ▸ Abstract

   In this paper, we give a new class of unique range sets for meromorphic functions.

   251-256
5. HEIGHT OF P-ADIC HOLOMORPHIC MAPS IN SEVERAL VARIABLES AND APPLICATIONS VU HOAI AN PDF

   257-269
6. REPRESENTATIONS IN POLYDOMAINS H. BEGEHR PDF

   271-282
7. ON THE RELATIVE INTRINSIC PSEUDO DISTANCE AND THE HYPERBOLIC IMBEDABILITY PHAM VIET DUC, NGUYEN DOAN TUAN PDF

   ▸ Abstract

   In this note we establidh a relation between the Kobayashi relative intrinsic pseudo distance of a holomorphi fiber bundle and the one in its base. Moreover, we prove that if $(\widetilde{Z},\pi,Z)$ is a fiber bundle with compact hyperbolic fiber and $M\subset Z$ with $d_{M,Z}$ induces the given topology on $\overline{M}$, then $M$ is hyperbolically imbedded in $Z$ if and only if $\widetilde{Y}=\pi^{-1}(Y)$ is hyperbolically imbedded in $\widetilde{Z}$.

   283-288
8. A MODEL FOR HOMOTOPY TYPE OF THE COMPLEMENT NGUYEN VIET DUNG PDF

   ▸ Abstract

   We construct a cellular complex of the same homotopy type of the complement for a complex line arrangement in $\mathbb C^2$. The construction
   based on the labyrinth of a line arrangement, defined by us, and on the braid monodromy presentation for its fundamental group.

   289-295
9. EXCEPTIONAL SETS FOR HOLOMORPHIC MAPPINGS L. GRUMAN PDF

   297-300
10. DYNAMICS OF PERMUTABLE TRANSCENDENTAL ENTIRE FUNCTIONS XINHOU HUA, XIAOLING WANG PDF

    ▸ Abstract

    Let $f$ and $g$ be two permutable transcendental entire functions. We shall prove that they have the same Julia set (i.e., $J(f) = J(g)$) if the set of the asymptotic values and critical values of $f$ and $g$ is bounded. This relates to a result and an open problem of Baker in the Fatou-Julia theory. In addition, for any positive integers $n$ and $m$, we show that $J(f \circ g) = J(f^n\circ g^m)$.

    301-306
11. RECONSTRUCTION OF ANALYTIC FUNCTIONS ON THE UNIT DISC FROM A SEQUENCE OF MOMENTS: REGULARIZATION AND ERROR ESTIMATES NGUYEN VU HUY, NGUYEN VAN NHAN, DANG DUC TRONG PDF

    ▸ Abstract

    We consider the problem of reconstructing a function in the Hardy space $H^2(U)$ on the unit disc $U$ of the complex plane from a sequence of moments. The problem, which is ill-posed, is regularized by polynomials and error estimates are given.

    307-320
12. A SURVEY ON THE P-ADIC NEVANLINNA THEORY AND RECENT ARTICLES HA HUY KHOAI PDF

    ▸ Abstract

    We give a brief survey of the Nevanlinna theory over non-archimedean fields and its applications in the study of $p$-adic hyperbolic spaces, the unique range sets for meromorphic functions.

    321-332
13. QUASINORMABILITY AND ASYMPTOTIC NORMABILITY OF SPACES OF ENTIRE FUNCTIONS OF BOUNDED TYPE NGUYEN VAN KHUE, NGUYEN HA THANH PDF

    ▸ Abstract

    It is studied under what conditions quasinormability and asymptotic normability of Frechet spaces are invariant for spaces of entire functions of bounded type on their strongly duals.

    333-342
14. UNIQUE RANGE SETS FOR HOLOMORPHIC CURVES DOAN QUANG MANH PDF

    ▸ Abstract

    The purpose of this paper is to give a uniqueness result [Theorem 2.2] for holomorphic curves from $\mathbb C$ to $\mathbb P^n(\mathbb C)$.

    343-348
15. A NEW ALEXANDER-EQUIVALENT ZARISKI PAIR MUTSUO OKA PDF

    349-357
16. ONE DIMENSIONAL MODELS FOR QUANTUM OSCILLATORS FRÉDÉRIC PHAM PDF

    359-363
17. L’ANNEAU DE COHOMOLOGIE DE L’ESPACE DES SYST`EMES LINÉAIRES SYMÉTRIQUES ACCESSIBLES NGUYEN HUYNH PHAN, HOANG HOA TRAI PDF

    ▸ Abstract

    Nous avons démontré dans cet article que l’anneau de cohomologie de la variété $S_{n,m}(F)$ de tout système linéaire symétrique accessible de dimension $n$ et d’entrée $m$ avec les coefficients dans le corps réel ou complex $F$ est isomorphe au sous-anneau $\sigma_n$-invariant $(H^*(P^{m-1}(F)\times P^{m-1}(F)\times\dots\times P^{m-1}(F);G))^{\sigma_n}$ où l’action du groupe symétrique $\sigma_n$ est induite par les permutations des $n$ facteurs du produit de descartes $P^{m-1}(F)\times P^{m-1}(F)\times\dots\times P^{m-1}(F)$ des $n$ espaces projectifs de dimention $m−1$.

    365-373
18. DEGENERACY OF HOLOMORPHIC CURVES IN $\mathbb P^n$ NGUYEN THANH QUANG PDF

    ▸ Abstract

    By using the Nevanlinna-Cartan theory we establish some conditions for degeneracy of holomorphic curves in the complex projective space $\mathbb P^n$.

    375-382
19. ON THE STEIN COVERINGS FOR 1-CONVEX SPACES VO VAN TAN PDF

    383-393
20. FORME NORMALE DES SYSTÈMES LINÉAIRES SYMÉTRIQUES ACCESSIBLES ET OBSERVABLES HOANG HOA TRAI, NGUYEN HUYNH PHAN PDF

    ▸ Abstract

    Nous présentons une forme normale pour l’action semblable du groupe unitaire sur l’ensemble des systèmes linéaires symétriques accessibles et observables. La construction de cette forme normale est basée sur des matrices d’indices invariantes relatives à une décomposition de strates et sur la forme normale obtenue récemment par N. H. Phan.

    395-405
21. PLURIPOTENTIAL THEORY ON ANALYTIC SETS AND APPLICATIONS TO ALGEBRAICITY A. ZERIAHI PDF

    407-424