Linear integral transformations generated by the three-dimensional neutron transport kernel

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Abstract
Two theorems are established by which the theory of linear integral transformations in a Lebesgue space Lp(D), p ≥ 1, can be appropriately extended to solve linear integral equations with kernel of nonfinite double norm with respect to the considered Lp(D). An application of these theorems to a physical problem of three‐dimensional neutron transport theory is illustrated.

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