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Convolution operator in the space of real analytic functions

โœ Scribed by V. V. Napalkov; I. A. Rudakov


Publisher
SP MAIK Nauka/Interperiodica
Year
1991
Tongue
English
Weight
474 KB
Volume
49
Category
Article
ISSN
0001-4346

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Composition operators on spaces of real
โœ Paweล‚ Domaล„ski; Michael Langenbruch ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 259 KB ๐Ÿ‘ 1 views

Let โ„ฆ1, โ„ฆ2 be open subsets of R d 1 and R d 2 , respectively, and let A(โ„ฆ1) denote the space of real analytic functions on โ„ฆ1. We prove a Glaeser type theorem by characterizing when a composition operator Cฯ• : Using this result we characterize when A(โ„ฆ1) can be embedded topologically into A(โ„ฆ2) as