If two holomorphic functions agree on a set with an accumulation point, they agree on every connected component containing it. Uniquely extends analytic functions beyond their original domain of definition (Riemann zeta, gamma function).
Analytic continuation
Related concepts
- Holomorphic function
- Dirichlet L-function
- Monodromy
- Hartogs extension (codim-2 singularities auto-extend for n ≥ 2)
- Wiener-Hopf method
- Hartogs (1906)
- Oka (1939)
- Levi (1911)
- Dolbeault (1953)
- Bergman kernel (1933)
- Fefferman (1976)
- NLSE bright soliton u = η sech(ηx) e^{iη²t/2}; inverse scattering → 1 discrete eigenvalue
- Feynman path integral (QM)
- Landau-Zener non-adiabatic transition framework: P_dia = exp(−2π·H²/(ℏ·v·ΔF)) (velocity-dependent curve-crossing)