作者：RaphaËl Côte , Yvan Martel 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.370 (10), pp.7461-7487AMS 摘要：For the nonlinear Klein-Gordon equation in $\mathbb{R}^{1+d}$, we prove the existence of multi-solitary waves made of any number $N$ of decoupled bound states. This extends the work of Côte and Muñoz (Forum Math. Sigma 2 (2014)) which was restricted to ground states, as we...
 作者：Michael Hitrik , Karel Pravda-Starov , Joe Viola 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.370 (10), pp.7391-7415AMS 摘要：Using an approach based on the techniques of FBI transforms, we give a new simple proof of the global subelliptic estimates for non-self-adjoint nonelliptic quadratic differential operators, under a natural averaging condition on the Weyl symbols of the operators, established by ...
 作者：Kengo Matsumoto 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.370 (10), pp.7011-7050AMS 摘要：We will introduce a relative version of imprimitivity bimodule and a relative version of strong Morita equivalence for pairs of $C^*$-algebras $(\mathcal {A}, \mathcal {D})$ such that $\mathcal {D}$ is a $C^*$-subalgebra of $\mathcal {A}$ satisfying certain conditions. We wi...
 作者：D. Freeman , E. Odell , B. Sarı ... 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.370 (10), pp.6933-6953AMS 摘要：In the first part of the paper we study the structure of Banach spaces with a conditional spreading basis. The geometry of such spaces exhibits a striking resemblance to the geometry of James space. Further, we show that the averaging projections onto subspaces spanned by constan...
 作者：Vladimir G. Pestov 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.370 (10), pp.7417-7436AMS 摘要：For locally compact groups amenability and Kazhdan's property $(T)$ are mutually exclusive in the sense that a group having both properties is compact. This is no longer true for more general Polish groups. However, a weaker result still holds for SIN groups (topological groups ...
 作者：Paul Balister , Béla BollobÁs , Karen Gunderson ... 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.370 (10), pp.7361-7389AMS 摘要：Given a countable dense subset $S$ of a finite-dimensional normed space $X$, and $0 Bonato and Janssen showed that in$ \ell _\infty ^d$almost all$ S$are Rado. Our main aim in this paper is to show that$ \ell _\infty ^d$is the unique normed space with this property: indee...  作者：Dorin Bucur , Ilaria Fragalà , Bozhidar Velichkov ... 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.370 (10), pp.7149-7179AMS 摘要：We prove that the planar hexagonal honeycomb is asymptotically optimal for a large class of optimal partition problems, in which the cells are assumed to be convex, and the criterion is to minimize either the sum or the maximum among the energies of the cells, the cost being a sh...  作者：Yurii Kolomoitsev , Tetiana Lomako 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.370 (10), pp.6909-6932AMS 摘要：In this paper, new estimates of the Lebesgue constant$\displaystyle \mathcal {L}(W)=\frac 1{(2\pi )^d}\int _{{\Bbb T}^d}\bigg \vert\s... ...\bm {k}\in W\cap {\Bbb Z}^d} e^{i(\bm {k},\,\bm {x})}\bigg \vert {\rm d}{\bm x}$for convex polyhedra$ W\subset {\Bbb R}^...
 作者：Denis Bonheure , Juraj FÖldes , Ederson Moreira dos Santos ... 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.370 (10), pp.7081-7127AMS 摘要：We prove a general criterion for the uniqueness of critical points of a functional in the presence of constraints such as positivity, boundedness, or fixed mass. Our method relies on convexity properties along suitable paths and significantly generalizes well-known uniquenes...
 作者：Charles P. Boyer , Hongnian Huang , Eveline Legendre ... 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.370 (10), pp.6825-6869AMS 摘要：The purpose of this paper is to study reducibility properties in Sasakian geometry. First we give the Sasaki version of the de Rham decomposition theorem; however, we need a mild technical assumption on the Sasaki automorphism group which includes the toric case. Next we introduc...