Multiplier projections on spaces of real analytic functions in several variables

Let be open with . We characterize the sets having the following property: for every real analytic function f on with Taylor expansion at zero, the series is also the Taylor expansion at zero of some real analytic function on . This result gives a characterization of the idempotents in the algebra o...

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Vydané v:	Complex variables and elliptic equations Ročník 62; číslo 2; s. 241 - 268
Hlavní autori:	Domański, Paweł, Langenbruch, Michael
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Colchester Taylor & Francis 01.02.2017 Taylor & Francis Ltd
Predmet:	Algebra algebra homomorphisms Analytic functions Complex variables Hadamard-type multiplier Homomorphisms invertible elements locally m-convex algebra Mathematical analysis multiplicative functionals Operators (mathematics) power series with finitely many values of coefficients Primary: 32D15 Projection Q-algebra Secondary: 32A10 Spaces of real analytic functions Szegö theorem topological algebra
ISSN:	1747-6933, 1747-6941
On-line prístup:	Získať plný text
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