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91.
In this paper, we answer the question of when the subcategory of semi-stable representations is the same for two rational vectors for an acyclic quiver. This question has been previously answered by Ingalls, Paquette, and Thomas in the tame case in [14]. Here we take a more invariant theoretic approach, to answer this question in general. We recover the known result in the tame case. 相似文献
92.
93.
By suitably extending a Feynman-Kac formula of Simon (Canad. Math. Soc. Conf. Proc. 28 (2000) 317), we study one-parameter semigroups generated by (the negative of) rather general Schrödinger operators, which may be unbounded from below and include a magnetic vector potential. In particular, a common domain of essential self-adjointness for such a semigroup is specified. Moreover, each member of the semigroup is proven to be a maximal Carleman operator with a continuous integral kernel given by a Brownian-bridge expectation. The results are used to show that the spectral projections of the generating Schrödinger operator also act as Carleman operators with continuous integral kernels. Applications to Schrödinger operators with rather general random scalar potentials include a rigorous justification of an integral-kernel representation of their integrated density of states—a relation frequently used in the physics literature on disordered solids. 相似文献
94.
Frans Keune 《K-Theory》1989,2(5):625-645
For any prime p, the p-primary part of the tame and the wild kernel of a number field F is described in terms of ideal class groups of p-power cyclotomic extensions of F. 相似文献
95.
Thom Mulders 《K-Theory》1991,5(5):449-470
For many number fieldsF, it is proved that the tame kernel, K2(
), and the wild kernel, W(F), ofF are generated by Dennis-Stein symbols. For some real quadratic number fields, generators for the tame kernel are given. 相似文献
96.
Jennifer Dixon 《BIT Numerical Mathematics》1985,25(4):623-634
In general, second kind Volterra integral equations with weakly singular kernels of the formk(t,s)(t –s)–
posses solutions which have discontinuous derivatives att=0. A discrete Gronwall inequality is employed to prove that, away from the origin, the error in product integration and collocation schemes for these equations is of order 2-. 相似文献
97.
Sylvie Monniaux Jan Prü ss 《Transactions of the American Mathematical Society》1997,349(12):4787-4814
A theorem of the Dore-Venni type for the sum of two closed linear operators is proved, where the operators are noncommuting but instead satisfy a certain commutator condition. This result is then applied to obtain optimal regularity results for parabolic evolution equations and evolutionary integral equations which are nonautonomous. The domains of the involved operators may depend on , but is required to satisfy a certain smoothness property. The results are then applied to parabolic partial differential and integro-differential equations.
98.
The purpose of this Letter is to demonstrate a close connection between the problem of describing supercomplete commutative rings of partial differential operators (in the sense of Krichever–Veselov) and the theory of lacunae for hyperbolic Riesz kernels. As an application, we give a simple and explicit construction of additional quantum integrals for the generalized Calogero–Moser problem associated with a finite reflection group W and W-invariant integer root multiplicities m. These quantum integrals are not W-invariant and cannot be constructed directly using the standard technique of Dunkl operators. 相似文献
100.
We establish some new bounds on the log-covering numbers of (anisotropic) Gaussian reproducing kernel Hilbert spaces. Unlike previous results in this direction we focus on small explicit constants and their dependency on crucial parameters such as the kernel bandwidth and the size and dimension of the underlying space. 相似文献