An Ingham-Müntz type theorem and simultaneous observation problems
Résumé
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.
Nous établissons un théorème combinant les évaluations de type Ingham et Müntz – Szász.
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