Optimization of quasi-normal eigenvalues for Krein-Nudelman strings

Abstract

The paper is devoted to optimization of resonances for Krein strings with total mass and statical moment constraints. The problem is to design for a given $\alpha \in \mathbb{R}$ a string that has a resonance on the line $\alpha +ı\mathbb{R}$ with a minimal possible modulus of the imaginary part. We find optimal resonances and strings explicitly.

9 pages, these results were extracted in a slightly modified form from the earlier e-print arXiv:1103.4117 [math.SP] following an advise of a journal's referee

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