The author describes a partial resolution of the Weyl-Berry conjecture. The techniques derive from methods of partial differential equations, the calculus of variations and-to a lesser extent-geometric measure theory. An interesting aspect of this work is that it lays the foundations for a theory connecting spectral geometry and fractal geometry.
CITATION STYLE
Lapidus, M. L. (1991). Can One Hear the Shape of a Fractal Drum? Partial Resolution of the Weyl-Berry Conjecture (pp. 119–126). https://doi.org/10.1007/978-1-4613-9711-3_13
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