For a locally compact abelian group $G$, J. L. Taylor (1971) gave complete characterization of invertible elements in the measure algebra $M(G)$. Using Fourier-Stieltjes transform, this can be carried out context algebras $B(G)$. We obtain latter for $B(G)$ certain classes groups, particular, many totally minimal groups and $ax+b$-group.

We prove the vanishing of the geometric Bloch–Kato Selmer group for the adjoint representation of a Galois representation associated to a Hilbert modular form under mild assumptions on the residual image. In particular, we do not assume the residual image satisfies the Taylor–Wiles hypothesis. Using this, we deduce that the localization and completion of the universal deformation ring for the r...

Though the recent literature offers intuitively appealing bases for, and evidence of, a linkage among religious beliefs, religious participation and economic outcomes, evidence on a relationship between religion and trust is mixed. By allowing for an attendance effect, disaggregating Protestant denominations, and using a more extensive data set, probit models of the General Social Survey (GSS),...

in this paper, the reduced dierential transform method is investigated fora nonlinear partial dierential equation modeling nematic liquid crystals, itis called the hunter-saxton equation. the main advantage of this methodis that it can be applied directly to nonlinear dierential equations withoutrequiring linearization, discretization, or perturbation. it is a semi analytical-numerical metho...

Rising energy costs have spawned renewed interest in improving methodologies for the synthesis, design and/or retrofitting of separation rocesses. It is well known that energy use in many process industries is dominated by separation tasks—particularly distillation. In this work, the hortest stripping line approach recently proposed by Lucia, Amale, & Taylor (2006) is used to find minimum energ...

One of the main results this work is freeness in Z?l-cohomology Lubin–Tate tower when l>2. As my 2009 Inventiones paper, strategy global nature and relies on studying various filtration stratification perverse sheaf vanishing cycles some Shimura varieties Kottwitz–Harris–Taylor types. We show that these graded parts, considering only adjunction maps j!j??Id, are given by p-intermediate extensio...

PACS and Digital Medicine: Essential Principles and Modern Practice. Y. Liu J. Wang CRC, Taylor & Francis Group, Boca Raton, FL, 2011. Hardcover, 367 pp. Price: $135.95. ISBN: 978-1-4200-83651.