On the Howe correspondence for symplectic–orthogonal dual pairs

On the Segal-Shale-Weil representations and harmonic polynomials

Masaki Kashiwara, Michèle Vergne · Inventiones mathematicae · 1978 · 443 citations

Algebraic Analysis, Harmonic Space, Riemann-hilbert Problem +1

Transcending classical invariant theory

Roger Howe · Journal of the American Mathematical Society · 1989 · 372 citations · Full text

Unitarizability of Certain Series of Representations

David A. Vogan · Annals of Mathematics · 1984 · 252 citations

Lie Group, Representation Theory, Certain Series +3

On the local theta-correspondence

Stephen S. Kudla · Inventiones mathematicae · 1986 · 218 citations

Local Theta-correspondence, Mock Theta Function, Theta Function

The unitary dual of GL(n) over an archimedean field

David A. Vogan · Inventiones mathematicae · 1986 · 183 citations

Spectral Theory, Lie Group, Engineering +5