A while ago I purchased an autograph with the mentioned decication. Here are some photos with different grades of lightning,contrast etc hopefully making it easier to read the lady´s name.
still hard to decypher the name Kai so this is just a guess at this point. Liebe Frau Hubert (?) zum fromen andenken (???) Pariser .... + signature Paris, August , 8 1941.
I seem to get the lady´s name as Hübe , and he´s thanking for " ihr liebe", but ihr is in small not Ihr which seems a bit awkward, but I might get it all wrong...
the umlaut seems a bit surprising if it was meant for a French name. Maybe it was a Luftwaffe helferin?
Hubert is French too . It is a common name and and a first name for a man .St Hubert is the Saint Patroon of the hunters.