The Hobby-Rice Theorem states that, given n functions fj, there exists a multiplier h such that the integrals of fjh are all simultaneously zero. This multiplier takes values ±1 and is discontinuous. We show how to find a multiplier that is infinitely differentiable, takes values on the unit circle, and is such that the integrals of fjh are all zero.
All Science Journal Classification (ASJC) codes
- Hobby-Rice theorem