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作者：Hofer, H; Wysocki, K; Zehnder, E
摘要：Surfaces of sections are a classical tool in the study of 3-dimensional dynamical systems. Their use goes back to the work of Poincare and Birkhoff. In the present paper we give a natural generalization of this concept by constructing a system of transversal sections in the complement of finitely many distinguished periodic solutions. Such a system is established for nondegenerate Reeb flows on the tight 3-sphere by means of pseudoholomorphic curves. The applications cover the nondegenerate ge...
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作者：Penney, R
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作者：Kasparov, G; Skandalis, G
摘要：We introduce a class of metric spaces which we call bolic. They include hyperbolic spaces, simply connected complete manifolds of nonpositive curvature, euclidean buildings, etc. We prove the Novikov conjecture on higher signatures for any discrete group which admits a proper isometric action on a bolic, weakly geodesic metric space of bounded geometry.
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作者：Jiang, DH; Soudry, D
摘要：In this paper we characterize irreducible generic representations of SO2n+1 (k) (where k is a p-adic field) by means of twisted local gamma factors (the Local Converse Theorem). As applications, we prove that two irreducible generic cuspidal automorphic representations of SO2n+1(A) (where A is the ring of adeles of a number field) are equivalent if their local components are equivalent at almost all local places (the Rigidity Theorem); and prove the Local Langlands Reciprocity Conjecture for g...
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作者：Edixhoven, B; Yafaev, A
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作者：Melas, AD
摘要：We find the exact value of the best possible constant C for the weak-type (1, 1) inequality for the one-dimensional centered Hardy-Littlewood maximal operator. We prove that C is the largest root of the quadratic equation 12C(2) - 22C + 5 = 0 thus obtaining C = 1.5675208.... This is the first time the best constant for one of the fundamental inequalities satisfied by a centered maximal operator is precisely evaluated.
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作者：Lindenstrauss, J; Preiss, D
摘要：A well-known open question is whether every countable collection of Lipschitz functions on a Banach space X with separable dual has a common point of Frechet differentiability. We show that the answer is positive for some infinite-dimensional X. Previously, even for collections consisting of two functions this has been known for finite-dimensional X only (although for one function the answer is known to be affirmative in full generality). Our aims are achieved by introducing a new class of nul...
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作者：Cheung, Y
摘要：It is known that nonergodic directions in a rational billiard form a subset of the unit circle with Hausdorff dimension at most 1/2. Explicit examples realizing the dimension 1/2 are constructed using Diophantine numbers and continued fractions. A lower estimate on the number of primitive lattice points in certain subsets of the plane is used in the construction.
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作者：Lapid, E; Rallis, S
摘要：Let pi be a cuspidal generic representation of SO (2n + 1, A). We prove that L((1)/(2), pi) greater than or equal to 0.
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作者：Lubinsky, DS
摘要：1961, Baker, Gammel and Wills conjectured that for functions f meromorphic in the unit ball, a subsequence of its diagonal Pade approximants converges uniformly in compact subsets of the ball omitting poles of f. There is also apparently a cruder version of the conjecture due to Pade himself, going back to the early twentieth century. We show here that for carefully chosen q on the unit circle, the Rogers-Ramanujan continued fraction 1+ (qz)\/(\1) + q(2z\)/\1 + q(3z)\/(\1) + ... provides a cou...
