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Showing 1 to 6 of 6 for “"Microlocal Analysis"”.

  1. Applications of microlocal analysis to some hyperbolic inverse problems

    Homan, Andrew J

    … transforms. Each problem is approached using microlocal methods. In the context of thermoacoustic tomography under the damped wave equation, I show uniqueness and stability of the problem with complete data, provide a reconstruction algorithm for small attenuation with complete data, and …

    purdue-thes Repository record

  2. Microlocal analysis of asymptotically complex hyperbolic manifolds and their conformal contact boundaries

    Quan, HadrianUniversity of Illinois at Urbana-Champaign2021

    … compact CR contact manifolds, using the tools of microlocal analysis in the broad sense. In the first chapter, we study the behavior of the heat kernel of the Hodge Laplacian on a contact manifold endowed with a family of Riemannian metrics that blow up the directions transverse to the contact …

    uiuc Repository record

  3. GLOBAL MICROLOCAL ANALYSIS ON Rd WITH APPLICATIONS TO HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS AND MODULATION SPACES

    Coriasco, Sandro, Abdeljawad, AhmedUniversità degli Studi di Torino2019

    unito Repository record

  4. Paracausal deformations, M{\o}ller operators, and Hadamard states in CCR AQFT.

    Volpe, DanieleUniversità degli studi di Trento2023

    … in detail: by employing techniques coming from microlocal analysis and spectral theory a Hadamard state is constructed on ultrastatic spacetimes and then the M{\o}ller operator is used to prove the existence of such states in general globally hyperbolic spacetimes. A discussion about the …

    trento Repository record

  5. Microlocal regularity of an inverse problem for the multidimensional wave equation

    Bao, GangRice University1991

    … examining some fundamental results in nonsmooth microlocal analysis. Rauch's lemma on the algebraic property of microlocal Sobolev spaces and a Beals-Reed linear propagation of singularities theorem are extended. We then present a trace regularity theorem which indicates that with microlocal …

    rice Repository record

  6. Stability, Range and Statistical Aspects of non-Abelian X-ray tomography

    Bohr, JanUniversity of Cambridge2022

    … Vasy (2016), which is based on Melrose’s microlocal scattering calculus and a layer stripping procedure, and develops a more quantitative version of their arguments. As an application, we show that with high probability, Φ can be recovered from noisy measurements of CΦ as L2-limit of …

    cambridge Repository record