The spectral measure on non-trapping asymptotically hyperbolic manifolds
In this thesis we systematically discuss the spectral measure on non-trapping asymptotically hyperbolic manifolds and related applications in spectral multipliers and Schrodinger equations. Spectral measure is a notion from spectral theory and can be studied via resolvent by Stone's formula. Following the works, due to Mazzeo and Melrose, Melrose, Sa Barreto and Vasy, we construct high energy resolvent by techniques such as the 0-calculus, semiclassical Fourier integral operators, semiclassical...[Show more]
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