Automorphic Forms on GL (2)Springer-Verlag, 1970 - Automorphic forms |
Contents
Representations of GL2F in the nonarchimedean case | 23 |
4 | 25 |
The principal series for nonarchimedean fields | 92 |
Copyright | |
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Common terms and phrases
absolutely convergent absolutely cuspidal analytically continued archimedean assertion automorphic forms Cartan subgroup character choose commutes compact subset constituent contains continuous functions cosets defined detg direct sum elementary idempotent elements equal equivalent f belongs finite dimensional finite number finite set formula Fourier transform function field functional equation Haar measure holomorphic integral invariant subspace irreducible admissible representation irreducible representation isomorphism K₁ Kirillov Lemma locally constant M₂ matrices Moreover multiple non-archimedean non-negative integer non-trivial non-zero number field one-dimensional orthogonal paragraph polynomial proof Proposition prove quasi-character of FX quotient replaced representation of G restriction right translations satisfies scalar Schur orthogonality relations space of functions sufficiently large Suppose theorem trivial unitary unramified V₁ V₂ vector verify vertical strips W₁ w₂ WK/F zero