... observations: a set of func-tions has been defined, “labeled” by the values (ν, a, ω). Re-calling that the set of functions used for short-time Fouriertransforms (STFT) are of the formϕω,u(t) ... Full Professorin the Signals, Systems, and Control Group of the D epartment of Applied Physics atDelft University of Technology, and since2003, he has been Codirector of the Delft Center for ... (t)=12π√2∞0∞−∞dadωa2ϕ1,a,ω(t)f (0, a, ω) (25)which, in light of the observation (23) can be viewed as aninverse Laplace transform for functions in L2([0, ∞)).2.2.3. Fourier transformClearly, from (23), we have that...