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math-ph2004
Quantum Graphs II: Some spectral properties of quantum and combinatorial graphs
Peter Kuchment
The paper deals with some spectral properties of (mostly infinite) quantum and combinatorial graphs. Quantum graphs have been intensively studied lately due to their numerous appli…
math-ph2004
On the injectivity of the circular Radon transform arising in thermoacoustic tomography
Gaik Ambartsoumian, Peter Kuchment
The circular Radon transform integrates a function over the set of all spheres with a given set of centers. The problem of injectivity of this transform (as well as inversion formu…