Physical L² realization of Schwartz Bessel fields #
The inverse Fourier-weight realization of a canonical Schwartz Sobolev lift is its original spatial L² class.
theorem
CKN.Leray.regularisedBesselSobolevToL2_schwartz
(s : ℝ)
(hs : 0 ≤ s)
(ψ : SchwartzMap Foundation.Parabolic.L2Vec3 ComplexVec3)
:
The canonical Schwartz Bessel lift realizes physically as the original Schwartz L² field.