[PDF.22no] Introduction to Spectral Theory and Inverse Problem on Asymptotically Hyperbolic Manifolds

Introduction to Spectral Theory and Inverse Problem on Asymptotically Hyperbolic Manifolds

[PDF.pi14] Introduction to Spectral Theory and Inverse Problem on Asymptotically Hyperbolic Manifolds

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 |  2014-08-01 | Original language:English | PDF # 1 |  9.80 x.80 x6.80l,.0 | File type: PDF | 251 pages

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||From the Inside Flap|This manuscript is devoted to a rigorous and detailed exposition of the spectral theory and associated forward and inverse scattering problems for the Laplace-Beltrami operators on asymptotically hyperbolic manifolds. Based upon the classica

This manuscript is devoted to a rigorous and detailed exposition of the spectral theory and associated forward and inverse scattering problems for the Laplace-Beltrami operators on asymptotically hyperbolic manifolds. Based upon the classical stationary scattering theory in ℝn, the key point of the approach is the generalized Fourier transform, which serves as the basic tool to introduce and analyse the time-dependent wave operators and the S-matrix. The crucial role i...

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