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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
