Abstract
A lower bound for the number of independent range conditions on Redheffer’s -product is derived in two and three dimensions. In two dimensions this bound is tight. Although the complexity of analysis increases with dimension, the technique of introducing a “slit” should apply to higher dimensions. Therefore, only two and three dimensional systems are considered here.
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Grünbaum, F.A., Patch, S.K. (1997). How Many Parameters Can One Solve for in Diffuse Tomography?. In: Chavent, G., Sacks, P., Papanicolaou, G., Symes, W.W. (eds) Inverse Problems in Wave Propagation. The IMA Volumes in Mathematics and its Applications, vol 90. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1878-4_10
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DOI: https://doi.org/10.1007/978-1-4612-1878-4_10
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