Studies in linear operators and function theory. 99 Unsolved problems in linear and complex analysis. Chapter 5. Spectral analysis and synthesis

DOI10.1007/BF01221522zbMath0543.47002OpenAlexW2065813120MaRDI QIDQ796060

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Publication date: 1984

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01221522

zbMATH Keywords

Bergman spacesinvariant subspacesfactorizationsuperpositionspectral synthesisBlaschke productsspaces of analytic functionscyclic vectorssupersaturationexact majorant problem. Problemholomorphic functions with limited growthlocalization of polynomial submodulesRiemann surfaces of Parreau-Widom typesurjective differential operatorsweak invertibility

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05) Invariant subspaces of linear operators (47A15) General theory of partial differential operators (47F05) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Proceedings, conferences, collections, etc. pertaining to operator theory (47-06) Proceedings, conferences, collections, etc. pertaining to abstract harmonic analysis (43-06) Lists of open problems (00A27)

Cites Work

• Approximation avec croissance des fonctions holomorphes de plusieurs variables. (Approximation with growth of the holomorphic functions of several variables)
• Spectral study of holomorphic functions with bounded growth
• Generators for some rings of analytic functions

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