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On 2D Inverse problems[edit]

by David V. Ingerman[edit]

About the book
Summary
Notation
Background
Graphs and manifolds
Harmonic functions
On random processes
Special matrices
Electrical networks
The inverse problems
Three classical problems
On the inverse problem of Calderon
"Can One Hear the Shape of a Drum?"
On inhomogeneous string of Krein
Embedded graphs
Medial graphs
Y-Δ and star-mesh transforms
Two spectral theorems
Problems w/rotation invariance
Fourier transform
Stieltjes continued fractions
Blaschke products
Pick-Nevanlinna interpolation
Cauchy matrices
Solution of the inverse problem
The square root of the minus Laplacian
The case of the unit disc
An infinite example
Zolotarev problem
Discrete and continuous settings
Kernel of Dirichlet-to-Neumann map
Riemann mapping theorem
Schrodinger equation
Variation diminition property
Bibliography
About the author