pre-noun adjectival
that well-known; the one and only
Used before a noun to refer to something or someone famous, well-known, or distinctive, often with a nuance of admiration or recognition. Common in set phrases like 彼の有名な (that famous ...).
彼の有名な作家の新作が発売された。
The new work by that well-known author has been released.
pre-noun adjectival
Formal or literary demonstrative, similar to あの but more elevated. Used in writing or formal speech to refer to something previously mentioned or known to both speaker and listener.
See also: あの
彼の日、私たちは初めて会った。
On that day, we met for the first time.
あの is the standard everyday demonstrative for 'that', while 彼の is formal or literary.
From classical Japanese 彼 (か, 'that') + possessive particle の. The kanji 彼 is used for its meaning 'that', but the reading かの is a native Japanese word.