Sentence examples for analytic continuation from inspiring English sources

The phrase "analytic continuation" is correct and usable in written English.
It is typically used in mathematical contexts, particularly in complex analysis, to refer to a technique for extending the domain of a given analytic function.
Example: "The concept of analytic continuation allows us to extend the function beyond its original radius of convergence."
Alternatives: "function extension" or "analytic extension".

Dictionary

analytic continuation

noun

An extension of an analytic function which is itself analytic

Exact(60)

A. A. Golosov, D. R. Reichman and E. Rabani, Analytic continuation for quantum nonadiabatic rate constants.

Also, the Laplace transform is obtainable from the Fourier transform via analytic continuation.

Topics include holomorphic functions; analytic continuation; Riemann surfaces; theta functions and modular forms.

D. R. Reichman and E. Rabani, Analytic continuation average spectrum method for quantum liquids.

Boundary conditions on the surface are enforced by an approach inspired by analytic continuation.

O. Kletenik-Edelman, E. Rabani and D. R. Reichman, Analytic continuation average spectrum method for transport in quantum liquids.

Since analytic continuation is unique (for all filters encountered in practice), we get the same result going either direction.

By analogy with the classical transform, our transform is given by convolution with the Wiener measure, followed by analytic continuation.

We prove the following analytic continuation theorem which applies to any virtual representation of any symmetric space (G, K, σ).

Using Riesz distributions, an explicit intertwining operator is constructed as an analytic continuation of an integral operator.

The analytic continuation of the holomorphic discrete series on Dopf; forms a family of interesting representations of G.

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