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Strict transfer operator approaches for non-compact hyperbolic orbisurfaces
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By building on former results and the cusp expansion algorithm, we construct strict transfer operator approaches for geometrically finite developable hyperbolic orbisurfaces of infinite area without cusps. Together with the cusp expansion algorithm for orbisurfaces with cusps, this provides strict transfer operator approaches for all hyperbolic orbifolds fulfilling mild assumptions. For every such orbisurface we obtain explicit transfer operator families for which, by virtue of a result of Fedosova and Pohl, the Fredholm determinant function is seen to be identical to the associated Selberg zeta function.
Forward citations
Cited by 2 Pith papers
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The divisor of the twisted Selberg zeta function
The divisor of the twisted Selberg zeta function of any geometrically finite infinite-area hyperbolic orbisurface decomposes explicitly into Laplace resonances, orbifold-point factors, Barnes G/gamma factors, and cusp...
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Some aspects of the spectral theory with twisting representations
A survey of spectral theory with twisting representations on hyperbolic orbisurfaces, presenting an orbifold-aware divisor formula for twisted Selberg zeta functions and the NECM condition for non-unitary twists.
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