Abstract
In this chapter we’ll develop explicit formulas for the resolvent kernels of the other elementary surfaces: the hyperbolic and parabolic cylinders. These explicit formulas will serve as building blocks when we turn to the construction of the resolvent in the general case in Chapter 6 This is because of the decomposition result of Theorem 2.23, which showed that the ends of non-elementary hyperbolic surfaces are funnels and cusps.
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Borthwick, D. (2016). Model Resolvents for Cylinders. In: Spectral Theory of Infinite-Area Hyperbolic Surfaces. Progress in Mathematics, vol 318. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-33877-4_5
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DOI: https://doi.org/10.1007/978-3-319-33877-4_5
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