Prefer a chat interface with context about you and your work?
The Fourier transform of vector-valued functions
For each natural number n , let u n ( x )=(1—cos nx )/π nx 2 ( x ɛℝ). It is well–known that a bounded continuous function f on the real line ℝ is the Fourier transform of an integrable function on ℝ if and only if the functions Φ …