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Displaying 521 – 540 of 607

On the Rogosinski radius for holomorphic mappings and some of its applications

Lev Aizenberg, Mark Elin, David Shoikhet (2005)

Studia Mathematica

The well known theorem of Rogosinski asserts that if the modulus of the sum of a power series is less than 1 in the open unit disk: $| \sum_{n = 0}^{\infty} a ₙ z ⁿ | < 1$ , |z| < 1, then all its partial sums are less than 1 in the disk of radius 1/2: $| \sum_{n = 0}^{k} a ₙ z ⁿ | < 1$ , |z| < 1/2, and this radius is sharp. We present a generalization of this theorem to holomorphic mappings of the open unit ball into an arbitrary convex domain. Other multidimensional analogs of Rogosinski’s theorem as well as some applications to dynamical systems are considered....

On the Segal-Shale-Weil Representations and Harmonic Polynomials.

M. Kashiwara, M. Vergne (1978)

Inventiones mathematicae

On the shared values of entire functions and their partial differential polynomials in Cn*.

D.-C. Chang, C.A. Berenstein, B.Q. Li (1996)

Forum mathematicum

On the Size of Balls Covered by Analytic Transformations.

Lawrence A. Harris (1977)

Monatshefte für Mathematik

On the Smoothing and Deformation of Perfect Varieties.

R. Mandelbaum, M. Schaps (1977)

Mathematische Annalen

On the smoothness of Levi-foliations.

D. E. Barrett, John Erik Fornaess (1988)

Publicacions Matemàtiques

We study the regularity of the induced foliation of a Levi-flat hypersurface in Cn, showing that the foliation is as many times continuously differentiable as the hypersurface itself. The key step in the proof given here is the construction of a certain family of approximate plurisubharmonic defining functions for the hypersurface in question.

On the space of Bloch harmonic functions and interpolation of spaces of harmonic and holomorphic functions

Ewa Ligocka (1987)

Studia Mathematica

On the space of integral Dirichlet functions of several complex variables

Daoud, S. (1987)

Portugaliae mathematica

On the space of Shottky-Mumford curves

Lothar GERRITZEN (1979/1980)

Seminaire de Théorie des Nombres de Bordeaux

On the space of the analytic discs which are transversal to a smooth real hypersurface of $C^{n}$

Claudio Rea (1983)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On the Spannedness and Very Ampleness of Certain Line Bundles on the Blow-ups of IP2C and Fr .

Ekin M. Bese (1983)

Mathematische Annalen

On the spectra of holomorphic function algebras

William Emerson (1982)

Studia Mathematica

On the spectral Nevanlinna-Pick problem

Constantin Costara (2005)

Studia Mathematica

We give several characterizations of the symmetrized n-disc Gₙ which generalize to the case n ≥ 3 the characterizations of the symmetrized bidisc that were used in order to solve the two-point spectral Nevanlinna-Pick problem in ℳ ₂(ℂ). Using these characterizations of the symmetrized n-disc, which give necessary and sufficient conditions for an element to belong to Gₙ, we obtain necessary conditions of interpolation for the general spectral Nevanlinna-Pick problem. They also allow us to give a...

On the spectral sequence fo r the $\bar{\partial}$ -cohomology of a holomorpkic bundle with Stein fibres

Guido Lupacciolu (1982)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Si esamina la successione spettrale per la $\bar{\partial}$ -coomologia dello spazio totale di un fibrato olomorfo nel caso in cui le fibre siano varietà di Stein.

On the spectrum of A(Ω) and $H^{\infty} (Ω)$

Urban Cegrell (1993)

Annales Polonici Mathematici

We study some properties of the maximal ideal space of the bounded holomorphic functions in several variables. Two examples of bounded balanced domains are introduced, both having non-trivial maximal ideals.

Currently displaying 521 – 540 of 607

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Displaying 521 – 540 of 607

On the Rogosinski radius for holomorphic mappings and some of its applications

On the Segal-Shale-Weil Representations and Harmonic Polynomials.

On the shared values of entire functions and their partial differential polynomials in Cn*.

On the Size of Balls Covered by Analytic Transformations.

On the Smoothing and Deformation of Perfect Varieties.

On the smoothness of Levi-foliations.

On the space of Bloch harmonic functions and interpolation of spaces of harmonic and holomorphic functions

On the space of integral Dirichlet functions of several complex variables

On the space of Shottky-Mumford curves

On the space of the analytic discs which are transversal to a smooth real hypersurface of $C^{n}$

On the Spannedness and Very Ampleness of Certain Line Bundles on the Blow-ups of IP2C and Fr .

On the spectra of holomorphic function algebras

On the spectral Nevanlinna-Pick problem

On the spectral sequence fo r the $\bar{\partial}$ -cohomology of a holomorpkic bundle with Stein fibres

On the spectrum of A(Ω) and $H^{\infty} (Ω)$

On the stability of the tangent bundle of Fano manifolds.

On the stratification of the moduli space of Mumford curves

On the string-theoretic Euler numbers of 3-dimensional $A$ - $D$ - $E$ singularities.

On the Structure of a Graded Ring of Automorphic Forms on the 2-Dimensional Complex Ball. II.

On the Structure of a Graded Ring of Automorphic Forms on the 2-Dimensional Complex Ball.

Currently displaying 521 – 540 of 607