If A q (β, α, k) is the scattering amplitude, corresponding to a potential q ∈ L 2 (D), where D ⊂ R 3 is a bounded domain, and e ikα·x is the incident plane wave, then we call the radiation pattern the function A(β) := A q (β, α, k), where the unit vector α, the incident direction, is fixed, and k > 0, the wavenumber, is fixed. It is shown that any function f (β) ∈ L 2 (S 2), where S 2 is the u...

If A q (β, α, k) is the scattering amplitude, corresponding to a potential q ∈ L 2 (D), where D ⊂ R 3 is a bounded domain, and e ikα·x is the incident plane wave, then we call the radiation pattern the function A(β) := A q (β, α, k), where the unit vector α, the incident direction, is fixed, and k > 0, the wavenumber, is fixed. It is shown that any function f (β) ∈ L 2 (S 2) with a small norm, ...

If Aq(β, α, k) is the scattering amplitude, corresponding to a potential q ∈ L 2(D), where D ⊂ R3 is a bounded domain, and eikα·x is the incident plane wave, then we call the radiation pattern the function A(β) := Aq(β, α, k), where the unit vector α, the incident direction, is fixed, and k > 0, the wavenumber, is fixed. It is shown that any function f(β) ∈ L2(S2), where S2 is the unit sphere i...