An Ingham-Müntz type theorem and simultaneous observation problems

Abstract : We establish a theorem combining the estimates of Ingham and Müntz – Szász. Moreover, we allow complex exponents instead of purely imaginary exponents for the Ingham type part or purely real exponents for the Müntz – Szász part. A very special case of this theorem allows us to prove the simultaneous observability of some string–heat and beam–heat systems.
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Vilmos Komornik, Gérald Tenenbaum. An Ingham-Müntz type theorem and simultaneous observation problems. Evolution Equations and Control Theory, American Institute of Mathematical Sciences (AIMS), 2015, 4 (3), pp.297-314. ⟨10.3934/eect.2015.4.297⟩. ⟨hal-01281724⟩

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