Notes on Real Analytic Functions and Classical Operators

DOI10.1090/CONM/561/11108zbMath1267.46036OpenAlexW2240844704MaRDI QIDQ2906462

Paweł Domański

Publication date: 5 September 2012

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/561/11108

zbMATH Keywords

Fourier transformSchauder basismaximal idealslocally convex spaceclosed rangeconvolution operatorcomposition operatorshypercyclic operatorpower bounded operatorPhragmén-Lindelöf principleisomorphic classificationmean ergodic operatorclosed idealsreal analytic functionsfundamental principlelinear partial differential operator with constant coefficientsadditive Cousin problemDFS-spacesanalytic parameter dependence of solutions of a partial differential operator or convolution operatoranalytic sets with extension propertyfinite type power series spacesfunctor ProjPLS-spacessemi-proper maptopological algebra of real analytic functions

Mathematics Subject Classification ID

Problem books (00A07) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Real-analytic functions (26E05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (13)

Euler type partial differential operators on real analytic functions ⋮ One-sided invertibility of Toeplitz operators on the space of real analytic functions on the real line ⋮ Hadamard multipliers on spaces of real analytic functions ⋮ Hadamard type operators on spaces of real analytic functions in several variables ⋮ Multiplier projections on spaces of real analytic functions in several variables ⋮ Semigroups of Hadamard multipliers on the space of real analytic functions ⋮ Frequently hypercyclic weighted backward shifts on spaces of real analyticfunctions ⋮ Eigenvalues and dynamical properties of weighted backward shifts on the space of real analytic functions ⋮ Locally convex topologies and control theory ⋮ Hypercyclic composition operators on spaces of real analytic functions ⋮ On Small-Time Local Controllability ⋮ Abel's functional equation and eigenvalues of composition operators on spaces of real analytic functions ⋮ Interpolation of holomorphic functions and surjectivity of Taylor coefficient multipliers

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