Convergence of Taylor series in Fock spaces
Studia Mathematica (2014)
- Volume: 220, Issue: 2, page 179-186
- ISSN: 0039-3223
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topHaiying Li. "Convergence of Taylor series in Fock spaces." Studia Mathematica 220.2 (2014): 179-186. <http://eudml.org/doc/285390>.
@article{HaiyingLi2014,
abstract = {It is well known that the Taylor series of every function in the Fock space $F^\{p\}_\{α\}$ converges in norm when 1 < p < ∞. 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 $F^\{p\}_\{α\}$ do not necessarily converge “in norm”.},
author = {Haiying Li},
journal = {Studia Mathematica},
keywords = {Fock spaces; Taylor series; entire functions},
language = {eng},
number = {2},
pages = {179-186},
title = {Convergence of Taylor series in Fock spaces},
url = {http://eudml.org/doc/285390},
volume = {220},
year = {2014},
}
TY - JOUR
AU - Haiying Li
TI - Convergence of Taylor series in Fock spaces
JO - Studia Mathematica
PY - 2014
VL - 220
IS - 2
SP - 179
EP - 186
AB - It is well known that the Taylor series of every function in the Fock space $F^{p}_{α}$ converges in norm when 1 < p < ∞. 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 $F^{p}_{α}$ do not necessarily converge “in norm”.
LA - eng
KW - Fock spaces; Taylor series; entire functions
UR - http://eudml.org/doc/285390
ER -
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