Suppose $f(x+iy)$ is a function satisfying exponential decay for every fixed x. Then can I conclude that integration on the boundary of fundamental domain of Full modular group (i.e. $SL_2(\mathbb{Z})$) is zero. Actually I need this while proving self adjoint property of weighted hyperbolic Laplace operator on the space of Maass cusp form with petersson inner product. Thanks in advance for any hint/help
2026-03-25 16:03:00.1774454580
Integration on the boundary of fundamental domain of Full modular group
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