Approximation in .

Levenberg, Norm

Displaying similar documents to “Approximation in $ℂ^{N}$ .”

Holomorphic functions of fast growth on submanifolds of the domain

Piotr Jakóbczak (1998)

Annales Polonici Mathematici

Similarity:

We construct a function f holomorphic in a balanced domain D in $ℂ^{N}$ such that for every positive-dimensional subspace Π of $ℂ^{N}$ , and for every p with 1 ≤ p < ∞, ${f |}_{Π \cap D}$ is not $L^{p}$ -integrable on Π ∩ D.

Carleman's formulas and conditions of analytic extendability

L. Aizenberg (1995)

Banach Center Publications

Similarity:

On the continuous extension of holomorphic correspondences

F. Berteloot, A. Sukhov (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

Normed domains of holomorphy.

Krantz, Steven G. (2010)

International Journal of Mathematics and Mathematical Sciences

Similarity:

On the multivariate transfinite diameter

Thomas Bloom, Jean-Paul Calvi (1999)

Annales Polonici Mathematici

Similarity:

We prove several new results on the multivariate transfinite diameter and its connection with pluripotential theory: a formula for the transfinite diameter of a general product set, a comparison theorem and a new expression involving Robin's functions. We also study the transfinite diameter of the pre-image under certain proper polynomial mappings.

On a class of $\bar{\partial}$ -equations without solutions

Telemachos Hatziafratis (1998)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

In this note we construct $\bar{\partial}$ -equations (inhomogeneous Cauchy-Riemann equations) without solutions. The construction involves Bochner-Martinelli type kernels and differentiation with respect to certain parameters in appropriate directions.

An approximation theorem related to good compact sets in the sense of Martineau

Jean-Pierre Rosay, Edgar Lee Stout (2000)

Annales de l'institut Fourier

Similarity:

This note contains an approximation theorem that implies that every compact subset of $ℂ^{n}$ is a good compact set in the sense of Martineau. The property in question is fundamental for the extension of analytic functionals. The approximation theorem depends on a finiteness result about certain polynomially convex hulls.

A new division formula for complete intersections

Mikael Passare (1991)

Annales Polonici Mathematici

Similarity:

We provide a new division formula for holomorphic mappings. It is given in terms of residue currents and has the advantage of being more explicit and simpler to prove than the previously known formulas.

Displaying similar documents to “Approximation in ℂ N .”

Displaying similar documents to “Approximation in $ℂ^{N}$ .”