It is shown that signed measures (i.e., measures that take on both positive and negative values) may exhibit an extreme form of singularity in which oscillations in sign occur everywhere on arbitrarily fine scale. A cancellation exponent is introduced to characterize such measures quantitatively, and examples of significant physical situations which display this striking type of singular behavior are discussed.
|Original language||English (US)|
|Number of pages||4|
|Journal||Physical Review Letters|
|State||Published - 1992|
ASJC Scopus subject areas
- Physics and Astronomy(all)