美国数学学会期刊
期刊
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作者:Michael Aschbacher
来源:[J].Memoirs of the American MathematicalSociety(IF 1.821), 2019, Vol.257 (1236)AMS
摘要:This memoir begins a program to classify alarge subclass of the class of simple saturated 2-fusion systemsof component type. Such a classification would be of greatinterest in its own right, but in addition it should lead to asignificant simplification of the proof of the th...
作者:Andreas Seeger , Charles Smart , Brian Street
来源:[J].Memoirs of the American MathematicalSociety(IF 1.821), 2019, Vol.257 (1231)AMS
摘要:We introduce a class ofmultilinear singular integral forms \Lambda :L^p_1(\mathbb R^d)\times \cdots\times L^p_n+2(\mathbb R^d)\rightarrow \mathbb C whichgeneralize the Christ-Journé multilinear forms; here \sum _j=1^n+2 p_j^-1=1 , p_j\in (1,\infty ] . Theresearch is partiall...
作者:MikaËl Cavallin , Donna M. Testerman
来源:[J].Transactions of the American Mathematical Society, Series B, 2019, Vol.6 (2), pp.45-79AMS
摘要:Let $ n\geq 3,$ and let $ Y$ be a simply connected, simple algebraic group of type $ D_{n+1}$ over an algebraically closed field $ K.$ Also let $ X$ be the subgroup of type $ B_n$ of $ Y,$ embedded in the usual way. In this paper, we correct an error in a proof of a theorem of Se...
作者:J. Helton , Igor Klep , Scott McCullough ...
来源:[J].Memoirs of the American MathematicalSociety(IF 1.821), 2019, Vol.257 (1232)AMS
摘要:An operator C on a Hilbert space \mathcal H dilates to anoperator T on a Hilbertspace \mathcal K ifthere is an isometry V:\mathcalH\to \mathcal K such that C= V^* TV . A main result ofthis paper is, for a positive integer d , the simultaneous dilation,up to a sharp factor \varthe...
作者:B. Eichinger , T. VandenBoom , P. Yuditskii
来源:[J].Transactions of the American Mathematical Society, Series B, 2019, Vol.6 (1), pp.1-44AMS
摘要:We establish precise spectral criteria for potential functions $ V$ of reflectionless Schrödinger operators $ L_V = -\partial _x^2 + V$ to admit solutions to the Korteweg-de Vries (KdV) hierarchy with $ V$ as an initial value. More generally, our methods extend the classical...
作者:Laurent Lazzarini , Jean-Pierre Marco , David Sauzin
来源:[J].Memoirs of the American MathematicalSociety(IF 1.821), 2019, Vol.257 (1235)AMS
摘要:A wandering domain for adiffeomorphism \Psi of \mathbb A^n=T^*\mathbbT^n is an open connected set W such that \Psi ^k(W)\cap W=\emptyset forall k\in \mathbb Z^* .We endow \mathbb A^n with its usual exact symplectic structure. An integrablediffeomorphism, i.e. the time-one ma...
作者:G. Lusztig
来源:[J].Representation Theory of the American Mathematical Society, 2018, Vol.22 (9), pp.246-277AMS
摘要:Let $ X$ be the group of weights of a maximal torus of a simply connected semisimple group over $ \mathbf {C}$ and let $ W$ be the Weyl group. The semidirect product $ W((\mathbf {Q}\otimes X)/X)$ is called an extended Weyl group. There is a natural $ \mathbf {C}(v)$-algebra $ \m...
作者:Richard D. James
来源:[J].Bulletin of the American Mathematical Society(IF 2.556), 2018, Vol.56 (1), pp.1-28AMS
摘要:I survey some examples of materials whose recent discovery was based in an essential way on mathematical ideas. The main idea concerns compatibility , the fitting together of the phases of a material. Some of the emerging materials have the ability to change heat directly into el...

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