Palmer Theorem

Palmer's Theorem states that any positive, decreasing function that tapers off to zero at infinity can be approximated by a sum of exponential functions. In practical terms, it means complex behaviors—like signals or decay processes—can be modeled accurately using combinations of exponential patterns. This is useful in fields such as engineering and physics, where understanding systems' behavior over time requires manageable mathematical representations. Essentially, Palmer’s Theorem provides a way to simplify and analyze functions that diminish gradually, making it easier to study, simulate, or predict their long-term behavior.