Representation of multipliers on spaces of real analytic functions

DOI10.1524/ANLY.2012.1150zbMath1288.46020OpenAlexW1970784851MaRDI QIDQ2872888

Michael Langenbruch, Paweł Domański

Publication date: 16 January 2014

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.2012.1150

zbMATH Keywords

Hadamard productdilationsurjectivitymultiplierspaces of real analytic functionsanalytic functionalEuler differential operator

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Hyperfunctions, analytic functionals (46F15) Ordinary differential equations of infinite order (34A35) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Real-analytic functions (26E05) Analytic continuation of functions of one complex variable (30B40) Algebras of analytic functions of one complex variable (30H50)

Related Items (21)

Hadamard operators on D′(Ω) ⋮ \(\mathcal{E}'\) as an algebra by multiplicative convolution ⋮ Euler type partial differential operators on real analytic functions ⋮ Hadamard multipliers on spaces of holomorphic functions ⋮ Convolution operators on spaces of holomorphic functions ⋮ Hadamard multipliers on spaces of real analytic functions ⋮ Hadamard type operators on spaces of real analytic functions in several variables ⋮ Toeplitz operators on the space of all holomorphic functions on finitely connected domains ⋮ The Hadamard multiplication theorem in several complex variables ⋮ Multiplier projections on spaces of real analytic functions in several variables ⋮ The *-product of domains in several complex variables ⋮ Semigroups of Hadamard multipliers on the space of real analytic functions ⋮ Eigenvalues and dynamical properties of weighted backward shifts on the space of real analytic functions ⋮ Operators of Hadamard type on spaces of smooth functions ⋮ Operators of almost Hadamard type and Hardy-Littlewood operator in the space of entire functions of several complex variables ⋮ Surjectivity of Hadamard type operators on spaces of smooth functions ⋮ Convolution operators on spaces of real analytic functions ⋮ Surjectivity of Euler type differential operators on spaces of smooth functions ⋮ Hadamard type operators on temperate distributions ⋮ Toeplitz operators on the space of all entire functions ⋮ Interpolation of holomorphic functions and surjectivity of Taylor coefficient multipliers

Cites Work

• Coefficient multipliers from \(H(G_ 1)\) into \(H(G_ 2)\)
• Existence locale de solutions holomorphes pour les équations différentielles d'ordre infini
• Invertible elements in a convolution algebra of holomorphic functions
• Hyperfunction fundamental solutions of surjective convolution operators on real analytic functions
• Cyclicity of coefficient multipliers: linear structure
• Sur la topologie des espaces de fonctions holomorphes
• Invertibility of Holomorphic Functions with Respect to the Hadamard Product
• Commutants of the Euler operator and corresponding mean-periodic functions
• The hadamard multiplication theorem and applications in summability theory
• SUR LES ÉQUATIONS DIFFÉRENTIELLES D′ORDRE INFINI D′EULER
• COMPOSITION OPERATORS WITH CLOSED IMAGE ON SPACES OF REAL ANALYTIC FUNCTIONS

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