What is the manufacturer and model number?
Here are the translations from left to right.
空気清浄 Air Cleaning Mode
ミニ燃焼 Mini Burn
セーブ Save
おはよう Morning (presumably the preset "on" timer?)
おやすみ Nighttime (presumably the preset "off" timer?)
設定室温 Desired Room Temperature Setting
現在室温 Current Room Temperature
午前 AM
午後 PM
室温/時刻 Temperature / Time (left button is hours, right button is minutes.)
チャイルドロック I think if you push both of the above buttons simultaneously, it will "child lock" the heater.
フィルター Filter
ファジィ Fuzzy
急速 Speed
運転/燃焼 On / Heat
(As you can see, some of these are self-explanatory, but some are a bit more cryptic without the instructions to give more detail).