Hadamard multipliers on spaces of real analytic functions

DOI10.1016/j.aim.2013.01.015zbMath1288.46019OpenAlexW2052998601MaRDI QIDQ390748

Michael Langenbruch, Paweł Domański

Publication date: 8 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.aim.2013.01.015

zbMATH Keywords

perturbationHadamard productsurjectivityspaces of real analytic functionsanalytic functionalEuler differential operatorsolvability of Euler differential equation of infinite order

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Hyperfunctions, analytic functionals (46F15) Ordinary differential equations of infinite order (34A35) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Difference equations, scaling ((q)-differences) (39A13) Real-analytic functions (26E05) Analytic continuation of functions of one complex variable (30B40)

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Hadamard operators on D′(Ω) ⋮ \(\mathcal{E}'\) as an algebra by multiplicative convolution ⋮ 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 ⋮ Convolution operators on spaces of holomorphic 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 ⋮ On the Toeplitz algebra in the case of all entire functions and all functions holomorphic in the unit disc ⋮ 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 ⋮ 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

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