Spectral study of holomorphic functions with bounded growth

DOI10.5802/aif.420zbMath0226.46029OpenAlexW2314696986MaRDI QIDQ2549140

Ivan Cnop

Publication date: 1972

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1972__22_2_293_0

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Holomorphic functions of several complex variables (32A10) Rings and algebras of continuous, differentiable or analytic functions (46E25) Topological algebras, normed rings and algebras, Banach algebras (46H99)

Related Items (max. 100)

The algebra of bounded analytic functions ⋮ Application des techniques $L^2$ à la théorie des idéaux d'une algèbre de fonctions holomorphes avec poids ⋮ Approximation polynomiale ponderee dans un domaine d'holomorphie de \(\mathbb{C}^n\) ⋮ Prolongement des fonctions holomorphes bornees et métrique de Caratheodory ⋮ Calcul fonctionnel dependant de la croissance des coefficients spectraux ⋮ Invariant subspaces in the theory of operators and theory of functions ⋮ Morphismes surjectifs de fibrés vectoriels semi-positifs ⋮ Studies in linear operators and function theory. 99 Unsolved problems in linear and complex analysis. Chapter 5. Spectral analysis and synthesis

Cites Work

• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Some theorems about bounded structures
• Séminaire sur les algèbres complètes
• Finitely generated ideals in rings of analytic functions
• Approximation avec croissance des fonctions holomorphes de plusieurs variables. (Approximation with growth of the holomorphic functions of several variables)
• Generators for some rings of analytic functions
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