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991.
We prove that the space of real analytic functions ${\cal A}(\Omega)$ on an
arbitrary open set $\Omega \subseteq \mathbb{R}^d$ has a
Fréchet infinite dimensional quotient space with a continuous norm.
Received: 4 February 2002 相似文献
992.
Naoki Tanaka 《Archiv der Mathematik》2003,81(1):38-49
This paper is devoted to the approximation of a regularized evolution
operator by a sequence of regularized discrete parameter evolution operators,
and the results obtained here are applied to some degenerate partial differential
equation.Received: 4 December 2001 相似文献
993.
In this paper a linearε-control problem for a general objective function is considered by functional analytic approach. Existence and uniqueness
of solutions are shown. The characterization of the solution is given in terms of a hyperplane. 相似文献
994.
We consider expansions with respect to the multi-dimensional Hermite functions which are eigenfunctions of the harmonic oscillator L=−Δ+|x|2. For the heat-diffusion and Poisson semigroups corresponding to a self-adjoint extension of L we investigate their boundary behaviour and mapping properties. All this is done for functions from Lp(w), 1?p<∞, w∈Ap. Then Riesz transforms and conjugate Poisson integrals are considered. The Riesz transforms occur to be Calderón-Zygmund operators hence their mapping properties follow by using results from a general theory. 相似文献
995.
Alexandre?MunnierEmail author 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2003,54(6):977-1000
This article deals with stability and small linear
oscillations of liquid bridges between fixed solid surfaces
(parallel plates, spheres, ...) under zero gravity. A general
investigation method for any kind of axisymmetric liquid bridge is
exposed but the author focus his work on the spherical liquid
bridge cases. In particular, he exposes a full theoretical study
of spherical liquid bridges between two spheres, plates and
cones. 相似文献
996.
It is proved that Youngs [4] axiomatization for the Shapley value by marginalism, efficiency, and symmetry is still valid for the Shapley value defined on the class of nonnegative constant-sum games with nonzero worth of grand coalition and on the entire class of constant-sum games as well.The research was supported by NWO (The Netherlands Organization for Scientific Research) grant NL-RF 047-008-010.I am thankful to Theo Driessen, Natalia Naumova and Elena Yanovskaya for interesting discussions and comments. The useful remarks of two anonymous referees are also appreciated. 相似文献
997.
Consider a special stable partition problem in which the player's preferences over sets to which she could belong are identical
with her preferences over the most attractive member of a set and in case of indifference the set of smaller cardinality is
preferred. If the preferences of all players over other (individual) players are strict, a strongly stable and a stable partition
always exists. However, if ties are present, we show that both the existence problems are NP-complete. These results are very
similar to what is known for the stable roommates problem.
Received: July 2000/Revised: October 2002
RID="*"
ID="*" This work was supported by the Slovak Agency for Science, contract #1/7465/20 “Combinatorial Structures and Complexity
of Algorithms”. 相似文献
998.
Mitsuo Hoshino 《Journal of Pure and Applied Algebra》2003,177(2):159-175
Let A be an artin algebra and e∈A an idempotent with add(eAA)=add(D(AAe)). Then a projective resolution of AeeAe gives rise to tilting complexes for A, where P(l)• is of term length l+1. In particular, if A is self-injective, then is self-injective and has the same Nakayama permutation as A. In case A is a finite dimensional algebra over a field and eAe is a Nakayama algebra, a projective resolution of eAe over the enveloping algebra of eAe gives rise to two-sided tilting complexes {T(2l)•}l?1 for A, where T(2l)• is of term length 2l+1. In particular, if eAe is of Loewy length two, then we get tilting complexes {T(l)•}l?1 for A, where T(l)• is of term length l+1. 相似文献
999.
Gábor Bodnár 《Journal of Pure and Applied Algebra》2003,179(3):221-233
Given a birational projective morphism of quasi-projective varieties . We want to find the ideal sheaf over X such that the blowing up of X along corresponds to f. In this paper we approach the problem from two directions, solving two subcases. First we present a method that determines when f is the composition of blowing ups along known centers, then by another method, we compute directly from . 相似文献
1000.
We extend two well-known results on primitive ideals in enveloping
algebras of semisimple Lie algebras, the
Irreducibility
theorem for associated varieties and
Duflo theorem
on primitive ideals, to much wider classes of algebras.
Our general version of the Irreducibility Theorem says that if
A is a positively filtered associative
algebra such that gr A is a commutative
Poisson algebra with finitely many
symplectic leaves, then the associated variety of any primitive ideal in
A is the closure of
a single connected symplectic leaf. Our general version of the Duflo theorem
says that if A is an algebra with
a triangular structure, see § 2, then any primitive ideal in
A is the
annihilator of a simple highest weight module.
Applications to symplectic reflection algebras
and Cherednik algebras are discussed. 相似文献