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math.CA2015
Diagonalization of the Finite Hilbert Transform on two adjacent intervals
Alexander Katsevich, Alexander Tovbis
We study the interior problem of tomography. The starting point is the Gelfand-Graev formula, which converts the tomographic data into the finite Hilbert transform (FHT) of an unkn…
math.CA2014★ 1 cited
The Daniell Integral
Elliot Blackstone, Piotr Mikusinski
The basic properties of the Daniell integral are presented. We do not use the standard approach of introducing auxiliary spaces of the "over-functions" and "under-functions." Inste…