Hankel Transforms of Distributions

The Hankel transform is of great importance in solving problems involving cylindrical boundaries. The Hankel transform of a classical function f is defined by 8.1.1 F ( y )   : =   ( ℌ μ f )   ( y )   : =   ∫ 0 ∞ f ( x ) ( x y ) 1 / 2   J μ ( x y ) d x ,