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Reconstruction of solutions to abstract Schrodinger, diffusion, and wave-type equations from snapshots

Pesenson, Isaac Z.
arXiv (All) · Papers
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functional-analysis
It is shown that if one knows "sufficiently many" snapshots (samples) from an individual solution of a Schrödinger-type equation-which is bandlimited in an appropriate sense-then the solution can be reconstructed by a simple formula similar to the Shannon formula for bandlimited signals. Furthermore
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