Titchmarsh's theorem

Titchmarsh's theorem

[′tich‚märsh·əz ‚thir·əm]
(mathematics)
The proposition that, if ƒ(x) and g (x) are continuous functions on the positive real numbers and are not identically equal to 0, then their convolution is not identically 0.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.