A permit under this Schedule shall not be transferable and shall be of no effect at any time when the holder of the permit is not the occupier of the premises to which it relates ; but in the event of the death of the holder of such a permit, then during the period of six months commencing with the death the permit shall be deemed to continue in force and, except for the purposes of a renewal of the permit, his legal personal representatives shall be deemed to be the holder thereof; and the local authority may from time to time, on the application of those representatives, extend or further extend the said period of six months if the authority are satisfied that the extension is necessary for the purpose of winding up the deceased's estate and that no other circumstances make it undesirable.