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math-ph2008★ 26 cited
On the structure of the wave operators in one dimensional potential scattering
Johannes Kellendonk, Serge Richard
In the framework of one dimensional potential scattering we prove that, modulo a compact term, the wave operators can be written in terms of a universal operator and of the scatter…
math.CA2008
Weber-Schafheitlin's type integrals with exponent 1
Johannes Kellendonk, Serge Richard
Explicit formulae for Weber-Schafheitlin's type integrals with exponent 1 are derived. The results of these integrals are distributions on R_+.