The local Jacquet-Langlands correspondence via Fourier analysis
The local Jacquet-Langlands correspondence via Fourier analysis
Let F be a locally compact non-Archimedean field, and let B/F be a division algebra of dimension 4. The Jacquet-Langlands correspondence provides a bijection between smooth irreducible representations π ′ of B × of dimension >1 and irreducible cuspidal representations of GL 2 (F). We present a new construction of …