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Generalized Minkowski content and the vibrations of fractal drums and strings

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Publication:1919323
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DOI10.4310/MRL.1996.v3.n1.a3zbMath0852.35105WikidataQ113999076 ScholiaQ113999076MaRDI QIDQ1919323

Christina Q. He, Michel L. Lapidus

Publication date: 9 December 1996

Published in: Mathematical Research Letters (Search for Journal in Brave)


zbMATH Keywords

fractal boundariessharp error estimate


Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Ergodic theorems, spectral theory, Markov operators (37A30) Fractals (28A80)


Related Items

Tube formulas and complex dimensions of self-similar tilings, Regularly varying functions, generalized contents, and the spectrum of fractal strings



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