@article{baratchart:hal-01462960, TITLE = {{Hardy-Hodge Decomposition of Vector Fields in R$^{n}$}}, AUTHOR = {Baratchart, Laurent and Dang, Pei and Qian, Tao}, URL = {https://inria.hal.science/hal-01462960}, JOURNAL = {{Transactions of the American Mathematical Society}}, PUBLISHER = {{American Mathematical Society}}, VOLUME = {370}, NUMBER = {3}, PAGES = {2005 - 2022}, YEAR = {2018}, MONTH = Mar, DOI = {10.1090/tran/7202}, KEYWORDS = { quaternionic analysis ; vector field decomposition ; harmonic gradients}, PDF = {https://inria.hal.science/hal-01462960/file/BDQ2016_submitted.pdf}, HAL_ID = {hal-01462960}, HAL_VERSION = {v1}, }