Hearing the Shape of a Trapezoid Drum

Luuk Verhoeven
In this article we take a small step in answering the famous question “Can one hear the shape of a drum?” Recently, Grieser and Maronna have shown that if the drum is shaped like a triangle, the answer is yes. In this article we investigate this question for trapezoid drums. We define a subset of trapezia and prove that for drums of this shape the answer to the question is also yes. To do this,...
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