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On the growth and stability of real-analytic functions

โœ Scribed by Phong, D. H. (author);Stein, E. M. (author);Sturm, J. A. (author)


Book ID
118225303
Publisher
John Hopkins University Press
Year
1999
Tongue
English
Weight
887 KB
Volume
121
Category
Article
ISSN
0002-9327

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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