@unpublished{brigati:hal-03868496, TITLE = {{Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results}}, AUTHOR = {Brigati, Giovanni and Dolbeault, Jean and Simonov, Nikita}, URL = {https://hal.science/hal-03868496}, NOTE = {working paper or preprint}, YEAR = {2022}, MONTH = Nov, KEYWORDS = {logarithmic Sobolev inequality ; Gagliardo-Nirenberg inequalities ; stability ; sphere ; spectral decomposition}, PDF = {https://hal.science/hal-03868496/file/BDS2022-Sphere.pdf}, HAL_ID = {hal-03868496}, HAL_VERSION = {v1}, }