Continuation War | Analytic philosophy | analytic philosophy | analytic number theory | Analytic function | Piecewise linear continuation | Extract from the 1826 ''Ladies' Diary'', giving geometric and analytic proofs for Napoleon's theorem | Cognitive Analytic Therapy | Cognitive analytic therapy | Analytic subgroup theorem |
In 1857, Riemann introduced the concept of Riemann surfaces as part of a study of the process of analytic continuation; Riemann surfaces are now recognized as one-dimensional complex manifolds.
An unambiguous mathematical definition is given by Borwein, Borwein and Taylor by means of analytic continuation of an absolutely convergent series.
Emilio Elizalde has shown that Zeta regularization and dimensional regularization are equivalent since they use the same principle of using analytic continuation in order for a series or integral to converge.