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Jan Stochel, a stellar mathematician

Chavan Sameer, Curto Raúl, Jabłoński Zenon Jan, Jung Il Bong, Putinar Mihai

Opuscula Mathematica

2024

Vol. 44, no. 3

303--321

The occasion for this survey article was the 70th birthday of Jan Stochel, professor at Jagiellonian University, former head of the Chair of Functional Analysis and a prominent member of the Kraków school of operator theory. In the course of his mathematical career, he has dealt, among other things, with various aspects of functional analysis, single and multivariable operator theory, the theory of moments, the theory of orthogonal polynomials, the theory of reproducing kernel Hilbert spaces, and mathematical aspects of quantum mechanics.

Exact boundary controllability of coupled hyperbolic equations

Avdonin S., Choque Rivero A., de Teresa L.

International Journal of Applied Mathematics and Computer Science

2013

Vol. 23, no. 4

701--710

We study the exact boundary controllability of two coupled one dimensional wave equations with a control acting only in one equation. The problem is transformed into a moment problem. This framework has been used in control theory of distributed parameter systems since the classical works of A.G. Butkovsky, H.O. Fattorini and D.L. Russell in the late 1960s to the early 1970s. We use recent results on the Riesz basis property of exponential divided differences.