Virginia TechLarsen, E. W.Sancaktar, SelimZweifel, Paul F.2014-04-092014-04-091975-05Larsen, E. W.; Sancaktar, S.; Zweifel, P. F., "Extension of Case formulas to L_p. Application to half and full space problems," J. Math. Phys. 16, 1117 (1975); http://dx.doi.org/10.1063/1.5226410022-2488http://hdl.handle.net/10919/47044The singular eigenfunction expansions originally applied by Case to solutions of the transport equation are extended from the space of Hölder‐continuous functions to the function spaces X p = {f‖μf (μ) ‐ L p }, where the expansions are now to be interpreted in the X p norm. The spectral family for the transport operator is then obtained explicitly, and is used to solve transport problems with X p sources and incident distributions.en-USIn CopyrightArticle - Refereedhttp://scitation.aip.org/content/aip/journal/jmp/16/5/10.1063/1.522641https://doi.org/10.1063/1.522641