@article{Fu2022, 
author = {Xi Fu and Xiaoqiang Xie},
title = {Characterizations of Fock-type spaces of eigenfunctions on              R        n},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {8},
pages = {15550-15562},
keywords = {eigenfunction, Fock space, Lipschitz condition, double integral condition},
url = {https://www.sciopen.com/article/10.3934/math.2022852},
doi = {10.3934/math.2022852},
abstract = {In this paper, we prove a norm equivalence for an exponential type weighted integral of an eigenfunction and its derivative on              R        n  . As applications, we characterize Fock-type spaces of eigenfunctions on              R        n   in terms of Lipschitz type conditions and double integral conditions. These obtained results are extensions of the corresponding ones in classcial Fock space.}
}