Geodesic
Convergence of Taylor series in Fock spaces
Haiying Li 1
1 College of Mathematics and Information Science Henan Normal University Xinxiang 453007, P.R. China
Studia Mathematica, Tome 220 (2014) no. 2, pp. 179-186 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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It is well known that the Taylor series of every function in the Fock space $F^p_\alpha $ converges in norm when $1 p \infty $. It is also known that this is no longer true when $p=1$. In this note we consider the case $0 p 1$ and show that the Taylor series of functions in $F^p_\alpha $ do not necessarily converge “in norm”.
DOI : 10.4064/sm220-2-6
Keywords: known taylor series every function fock space alpha converges norm infty known longer note consider taylor series functions alpha necessarily converge norm

Haiying Li  1

1 College of Mathematics and Information Science Henan Normal University Xinxiang 453007, P.R. China 
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Haiying Li. Convergence of Taylor series in Fock spaces. Studia Mathematica, Tome 220 (2014) no. 2, pp. 179-186. doi: 10.4064/sm220-2-6

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