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Discrete Ingham inequalities and applications. (English. Abridged French version) Zbl 1040.93030
The authors prove a discrete version of the classical Ingham inequality for nonharmonic Fourier series. An application to a finite-difference full discretization of the wave equation is given.

MSC:
93C20 Control/observation systems governed by partial differential equations
42C15 General harmonic expansions, frames
35L05 Wave equation
93B05 Controllability
93B07 Observability
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