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The Plancherel formula and the inversion formula for generalized translation operators. (English. Russian original) Zbl 0475.43004
Sov. Math., Dokl. 23, 333-337 (1981); translation from Dokl. Akad. Nauk SSSR 257, 792-795 (1981).

##### MSC:
 43A30 Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. 46K15 Hilbert algebras 46L99 Selfadjoint operator algebras ($$C^*$$-algebras, von Neumann ($$W^*$$-) algebras, etc.) 22A30 Other topological algebraic systems and their representations 34L99 Ordinary differential operators