Properties of Fourier Representations

Skibidi vibes are real when you dive into Fourier representations, lowkey flexing with linear and symmetric properties. You know the convolution property is a goon, right? Edge into differentiation in time and frequency, while keeping integration optional, just like a sigma grind. Time-shift, frequency-shift, and multiplication are the dank trio that packs a punch. Scaling property is the ultimate chad, and did I mention Parseval relationships? Energy is on a ship of time and frequency, balancing perfectly like a sigma male. Remember, as T shrinks, frequency expands; this is the time-bandwidth product in action. Questions? Just ask, we are vibing!