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Coherent quantum tomography (Q2821651)

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scientific article; zbMATH DE number 6629205

Language	Label	Description	Also known as
English	Coherent quantum tomography	scientific article; zbMATH DE number 6629205

Statements

scholarly article

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Joonas Ilmavirta

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SIAM Journal on Mathematical Analysis

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publication date

22 September 2016

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full work available at URL

https://arxiv.org/abs/1507.00558

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zbMATH Keywords

inverse problems

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quantum mechanics

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weighted ray transforms

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neutrino physics

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geophysics

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MaRDI profile type

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Local non-injectivity for weighted radon transforms

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Novikov's inversion formula for the attenuated Radon transform -- a new approach

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A new phase space method for recovering index of refraction from travel times

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An adaptive phase space method with application to reflection traveltime tomography

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Representation of a Function by Its Line Integrals, with Some Radiological Applications

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Inverse scattering problem for the Schrödinger equation with magnetic potential at a fixed energy

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The \(x\)-ray transform for a non-Abelian connection in two dimensions

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The X-ray transform for a generic family of curves and weights

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The X-ray transform for connections in negative curvature

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Inversion of weighted Radon transforms via finite Fourier series weight approximations

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The Radon transform.

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Recovery of the sound speed for the acoustic wave equation from phaseless measurements

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Generalized and attenuated radon transforms: restorative approach to the numerical inversion

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An Elementary Proof of Local Invertibility for Generalized and Attenuated Radon Transforms

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Numerical Implementation of Geodesic X-Ray Transforms and Their Inversion

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Inversion of the attenuated geodesic X-ray transform over functions and vector fields on simple surfaces

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The mathematics of computerized tomography

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ON DETERMINATION OF A GAUGE FIELD ON ℝ<sup><i>d</i></sup> FROM ITS NON-ABELIAN RADON TRANSFORM ALONG ORIENTED STRAIGHT LINES

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Weighted Radon transforms and first order differential systems on the plane

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Inverse scattering without phase information

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The attenuated ray transform for connections and Higgs fields

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Tensor tomography: progress and challenges

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Invariant distributions, Beurling transforms and tensor tomography in higher dimensions

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The geodesic X-ray transform with matrix weights

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Inversion formula for the non-uniformly attenuated x-ray transform for emission imaging in \mathbb {R}^{3} using quaternionic analysis

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Modern Quantum Mechanics

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The attenuated ray transform on simple surfaces

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Integral geometry for tensor fields. Transl. from the Russian

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Integral geometry of a tensor field on a surface of revolution

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Rigidity for metrics with the same lengths of geodesics

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Boundary rigidity with partial data

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Variations on the theme of quantum optical coherence tomography: a review

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The inverse problem for the local geodesic ray transform

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Weighted matrix integral geometry

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Coherent quantum tomography (English)

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Identifiers

zbMATH Open document ID

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10.1137/15M1026821

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2821651

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