Harmonic analysis and unitary group representations : the development from 1927 to 1950
Harmonic analysis of Abelian inner automorphism groups of von Neumann algebras.
Harmonic induction on Lie groups.
Harmonic synthesis of solutions of elliptic equation with periodic coefficients
An elliptic system in , which is invariant under the action of the group is considered. We construct a holomorphic family of finite-dimensional subrepresentations of the group in the space of solutions (Floquet solutions), such that any solution of the growth at infinity can be rewritten in the form of an integral over the family.
Harmonische Analyse auf Gruppen mit endlich-dimensionalen irreduziblen Darstellungen.
Holomorphic representation theory. I.