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- W2311666320 abstract "Let $M$ denote a finite volume, non-compact Riemann surface without elliptic points, and let $B$ denote the Lax-Phillips scattering operator. Using the superzeta function approach due to Voros, we define a Hurwitz-type zeta function $zeta^{pm}_{B}(s,z)$ constructed from the resonances associated to $zI -[ (1/2)I pm B]$. We prove the meromorphic continuation in $s$ of $zeta^{pm}_{B}(s,z)$ and, using the special value at $s=0$, define a determinant of the operators $zI -[ (1/2)I pm B]$. We obtain expressions for Selberg's zeta function and the determinant of the scattering matrix in terms of the operator determinants." @default.
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- W2311666320 date "2016-03-24" @default.
- W2311666320 modified "2023-09-27" @default.
- W2311666320 title "The determinant of the Lax-Phillips scattering operator" @default.
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- W2311666320 hasPublicationYear "2016" @default.
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