register of believers; death register
A record kept at a Buddhist temple listing parishioners or deceased members. The 'death register' sense is a common extension.
The names of the parishioners are recorded in the temple's register of believers.
Apart from the death register, the names of the deceased may also appear in the register of believers.
register of reciters of the Buddha's name
Specific to the Yuzu Nembutsu sect, listing those who chant the nembutsu. A specialized historical term.
In the Yuzu Nembutsu sect, the names of believers who chant the nembutsu were recorded in a register.