共查询到20条相似文献,搜索用时 343 毫秒
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In this paper we consider two von Neumann subalgebras and of a type II1 factor . For a map φ on , we define
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A. El Garna 《Journal of Mathematical Analysis and Applications》2004,298(2):463-486
In this paper, we develop the left-definite spectral theory associated with the self-adjoint operator Aμ in , generated from the Dunkl second-order Hermite differential equation
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Guy Bouchitté 《Journal of Functional Analysis》2003,204(1):228-267
For a given positive measure μ on , we consider integral functionals of the kind
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Bryan P. Rynne 《Journal of Number Theory》2003,98(1):1-9
Let M be an m-dimensional, Ck manifold in , for any , and for any τ>0 let
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Francis Gardeyn 《Journal of Number Theory》2003,100(2):332-362
Let R be a complete discrete valuation -algebra whose residue field is algebraic over , and let K denote its fraction field. In this paper, we study the structure of τ-sheaves M without good reduction on the curve , seen as a rigid analytic space. One motivation is the Tate uniformization theorem for t-motives of Drinfeld modules, which we want to extend to general τ-sheaves. On the other hand, we are interested in the action of inertia on a generic Tate module T?(M) of M.For a given τ-sheaf M on , we prove the existence of a maximal model for M on , an R-model of , and, over a finite separable extension R′ of R, of nondegenerate models for M.We prove the following ‘semistability’ theorem: there exists a finite extension K′ of K, a nonempty open subscheme C′⊂C, and a filtration
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Let γ be the Gauss measure on and the Ornstein-Uhlenbeck operator. For every p in [1,∞)?{2}, set , and consider the sector . The main results of this paper are the following. If p is in (1,∞)?{2}, and , i.e., if M is an Lp(γ)uniform spectral multiplier of in our terminology, and M is continuous on , then M extends to a bounded holomorphic function on the sector . Furthermore, if p=1 a spectral multiplier M, continuous on , satisfies the condition if and only if M extends to a bounded holomorphic function on the right half-plane, and its boundary value M(i·) on the imaginary axis is the Euclidean Fourier transform of a finite Borel measure on the real line. We prove similar results for uniform spectral multipliers of second order elliptic differential operators in divergence form on belonging to a wide class, which contains . From these results we deduce that operators in this class do not admit an H∞ functional calculus in sectors smaller than . 相似文献
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Michael Solomyak 《Journal of Approximation Theory》2003,121(2):199-219
Some results on the approximation of functions from the Sobolev spaces on metric graphs by step functions are obtained. In particular, we show that the approximation numbers an of the embedding operator of the Sobolev space on a graph G of finite length |G| into the space , where μ is an arbitrary finite Borel measure on G, satisfy the inequality
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Special Transverse Slices and Their Enveloping Algebras 总被引:1,自引:0,他引:1
Alexander Premet 《Advances in Mathematics》2002,170(1):1-55
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Let . We prove that a subset of , where p is a prime number, with cardinality larger than such that its subset sums do not cover has an automorphic image which is rather concentrated; more precisely, there exists s prime to p such that
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We estimate the norm of the almost Mathieu operator , regarded as an element in the rotation C*-algebra . In the process, we prove for every λ∈R and the inequality
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Michael Paluch 《Journal of Pure and Applied Algebra》2008,212(12):2583-2593
Let be a small category. For an -diagram X and -diagrams A and B of pointed spaces, each pairing X∧A→B satisfying the projection formula induces a pairing . In this note we show that there is an induced pairing of homotopy spectral sequences compatible with abutments in the sense that