Théorie Spectrale Adélique Globale : Construction, Compacité, Interaction Adélique et Correspondance Spectrale
Year: 2026
Type: article
Abstract: This work develops a global adelic spectral theory unifying archimedean, p‑adic, fractal, and geometric components. We establish strict self‑adjointness, compact resolvent, discrete spectrum, and a complete spectral correspondence linking global eigenvalues to zeta zeros. This framework provides the analytic foundation for subsequent applications to Riemann, Hodge, Birch–Swinnerton‑Dyer, Yang–Mills, and Navier–Stokes equations.
Author: Lallemand, Cédric
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204628596