In algebra Plancherel obtained results on quadratic forms and their applications, to the solvability of systems of equations with infinitely many variables and to the theory of commutative Hilbert algebras (theorem of Plancherel-Godement).
Sa algebra Plancherel makuha ng mga resulta sa parisukat forms at ng kanilang mga aplikasyon, sa kasugiran ng sistema ng mga equation na may maraming mga variable na walang hanggan at sa mga teorya ng commutative Hilbert algebras (teorama ng Plancherel-Godement).