On 2D Inverse Problems
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On 2D Inverse Problems
Wikibooks version
For Nicole DeLaittre
Contents
About the book[edit]
Summary[edit]
Basic definitions[edit]
Graphs and manifolds[edit]
Harmonic functions[edit]
On random processes[edit]
Special matrices and determinants[edit]
Electrical networks[edit]
The inverse problems[edit]
Classical inverse problems[edit]
On the inverse problem of Calderon[edit]
"Can One Hear the Shape of a Drum?"[edit]
On inhomogeneous string of Krein[edit]
Embedded graphs[edit]
Medial graphs[edit]
Y-Δ and star-mesh transforms[edit]
Two spectral theorems[edit]
The layered case[edit]
Fourier transform[edit]
Stieltjes continued fractions[edit]
Solution of the inverse problem[edit]
The square root of the minus Laplacian[edit]
The case of the unit disc[edit]
An infinite example[edit]
Zolotarev problem[edit]
Discrete and continuous models[edit]
Kernel of Dirichlet-to-Neumann map[edit]
Riemann mapping theorem[edit]
Hilbert transform[edit]
Schrodinger equation[edit]
Variation diminishing property[edit]
Spectral properties[edit]
Notation[edit]
Bibliography[edit]
Acknowledgements[edit]
The author would like to thank Wiki, StackExchange and Sage projects for the help in writing the book @ all stages of the process.
About the author[edit]
