ABSTRACT
The Hilbert transform of a suitably restricted function f is defined by F ( x ) = ( H f ) ( x ) : = π − 1 P ∫ − ∞ ∞ f ( t ) t − x d t
The Hilbert transform of a suitably restricted function f is defined by F ( x ) = ( H f ) ( x ) : = π − 1 P ∫ − ∞ ∞ f ( t ) t − x d t