112 citations · 1.1k across the 124 of their papers we have counts for
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Exact sum rules for inhomogeneous systems containing a zero mode
Paolo Amore
We show that the formulas for the sum rules for the eigenvalues of inhomogeneous systems that we have obtained in two recent papers are incomplete when the system contains a zero m…
One cannot hear the density of a drum (and further aspects of isospectrality)
Paolo Amore
It is well known that certain pairs of planar domains have the same spectra of the Laplacian operator. We prove that these domains are still isospectral for a wider class of physic…
-symmetric strings
Paolo Amore, Francisco M. Fernández, Javier Garcia +1
We study both analytically and numerically the spectrum of inhomogeneous strings with -symmetric density. We discuss an exactly solvable model of -symme…
Exact sum rules for inhomogeneous drums
Paolo Amore
We derive general expressions for the sum rules of the eigenvalues of drums of arbitrary shape and arbitrary density, obeying different boundary conditions. The formulas that we pr…
Exact sum rules for inhomogeneous strings
Paolo Amore
We derive explicit expressions for the sum rules of the eigenvalues of inhomogeneous strings with arbitrary density and with different boundary conditions. We show that the sum rul…