Geodesic
Generalized Fourier Transforms, Inverse Problems, and Integrability in 4+2
A. S. Fokas1
1 Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, CB3 0WA, UK
ESAIM. Proceedings, Tome 26 (2009), pp. 55-64.

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Three different types of generalized Fourier transforms are discussed, which appear in the following: (a) The medical imaging technique called Single Photon Emission Computerized Tomography (SPECT). (b) The solution of the Cauchy problem of integrable nonlinear evolution PDEs in 4+2, i.e. in four spatial and two temporal dimensions. (c) The characterization of the generalized Dirichlet to Neumann map for integrable nonlinear evolution PDEs in 1+1, i.e. in one spatial and one temporal dimensions.
DOI : 10.1051/proc/2009005

A. S. Fokas 1

1 Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, CB3 0WA, UK 
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     title = {Generalized {Fourier} {Transforms,} {Inverse} {Problems,} and {Integrability} in 4+2},
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A. S. Fokas. Generalized Fourier Transforms, Inverse Problems, and Integrability in 4+2. ESAIM. Proceedings, Tome 26 (2009), pp. 55-64. doi : 10.1051/proc/2009005. http://geodesic.mathdoc.fr/articles/10.1051/proc/2009005/

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