We characterize in terms of Fourier spectrum the boundary values of functions in the complex Hardy spaces H(C±), 1 ≤ p ≤ ∞. As an application we extend the Bedrosian identity, originally stated for square-integrable functions, to the Lp(R) cases.

There is a natural action of SL(2, R) on the moduli space of translation surfaces, and this yields an action of the unipotent subgroup U = 1 * 0 1. We classify the U-invariant ergodic measures on certain special submanifolds of the moduli space. (Each submanifold is the SL(2, R)-orbit of the set of branched covers of a fixed Veech surface.) For the U-action on these submanifolds, this is an ana...

Monotonicity criteria are established for the generalized Marcum Q-function, QM (α, β), the standard Nuttall Qfunction, QM,N (α, β), and the normalized Nuttall Q-function, QM,N (α, β), with respect to their real order indices M,N . Besides, closed-form expressions are derived for the computation of the standard and normalized Nuttall Q-functions for the case when M,N are odd multiples of 0.5 an...

In the article by Bedrosian et al. (1) entitled " Population-based study of contralateral prophylactic mastectomy and survival outcomes of breast cancer patients, " the authors used the Surveillance, Epidemiology, and