The wave equation approach for solving inverse eigenvalue problems of a multi-connected region in R3 with Robin conditions

The asymptotic expansion for |t| of the trace of the wave kernel @[email protected]^(t)[email protected]?^~"@u"="1exp([email protected]^1^/^2"@u), where {@m"@u}"@u"="1^~ are the eigenvalues of the negative Laplacian [email protected]?^[email protected]?^3"@b"="1(@?/@?x^@b)^2 in the (x^1,x^2,x^3)-space where i=-1 and -~

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