Weighted Duality and Mixed Operational Calculus of the Two-Sided Fourier–Kontorovich–Lebedev Transform
This paper constructs a mixed testing calculus in which a two-sided Fourier factor and an imaginary-order Macdonald factor act jointly on the half-strip. A countable family of seminorms generated by Cartesian derivatives and even radial operators produces a Fréchet space of rapidly controlled amplitudes. The product ke...