共查询到20条相似文献,搜索用时 15 毫秒
1.
Yu. Yu. Kochetkov 《Functional Analysis and Its Applications》2010,44(2):118-124
The cell structure of the spaces ℳ2,1 and ℳ3,1 is considered. These are the spaces of complex curves of genus 2 and 3 with one marked point. For the space ℳ2,1, nine cells of the highest dimension 8 are described and their adjacency is studied. For the space ℳ3,1, a list of all 1726 cells of the highest dimension 14 (with orientation) is obtained. The list of adjacent couples of cells
is also obtained. These lists can be found on the web. 相似文献
2.
Suppose π1(E, F) is the space of all absolutely 1-summing operators between two Banach spacesE andF. We show that ifF has a copy of c0, then π1 (E, F) will have a copy of c0, and under some conditions ifE has a copy of ℓ1 then π1 (E, F) would have a complemented copy of ℓ1. 相似文献
3.
Three new summation formulas for 6
ψ
6 bilateral basic hypergeometric series attached to root systems are presented. Remarkably, two of these formulae, labelled
by the A2n−1 and A2n
root systems, can be reduced to multiple 6
φ
5 sums generalising the well-known van Diejen sum. This latter sum serves as the weight-function normalisation for the BC
n
q-Racah polynomials of van Diejen and Stokman. Two 8
φ
7-level extensions of the multiple 6
φ
5 sums, as well as their elliptic analogues, are conjectured. This opens up the prospect of constructing novel A-type extensions
of the Koornwinder–Macdonald theory. 相似文献
4.
We are interested in minimizing functionals with ℓ2 data and gradient fitting term and ℓ1 regularization term with higher order derivatives in a discrete setting. We examine the structure of the solution in 1D by
reformulating the original problem into a contact problem which can be solved by dual optimization techniques. The solution
turns out to be a ’smooth’ discrete polynomial spline whose knots coincide with the contact points while its counterpart in
the contact problem is a discrete version of a spline with higher defect and contact points as knots. In 2D we modify Chambolle’s
algorithm to solve the minimization problem with the ℓ1 norm of interacting second order partial derivatives as regularization term. We show that the algorithm can be implemented
efficiently by applying the fast cosine transform. We demonstrate by numerical denoising examples that the ℓ2 gradient fitting term can be used to avoid both edge blurring and staircasing effects.
相似文献
5.
Sandy H. L. Chen William Y. C. Chen Amy M. Fu Wenston J. T. Zang 《The Ramanujan Journal》2011,25(1):37-47
We use the Algorithm Z on partitions due to Zeilberger, in a variant form, to give a combinatorial proof of Ramanujan’s 1
ψ
1 summation formula. 相似文献
6.
I. I. Shneiberg 《Functional Analysis and Its Applications》2008,42(1):78-80
We give the definition of the full potential with descendants, which is a genus expansion of the Barannikov-Kontsevich solution of the WDVV equation. This potential satisfies the Getzler relation, which comes from the geometry of the moduli space of curves Open image in new window . 相似文献
7.
M. S. Mahmoud P. Shi A. W. A. Saif 《Journal of Optimization Theory and Applications》2009,142(3):583-601
This paper presents new results pertaining to the delay-dependent stability and control synthesis of a class of linear switched
continuous-time systems with time-varying delays. A new state transformation is introduced to exhibit the delay-dependent
dynamics in the slow-time scale. For stability, we construct an appropriate selective Lyapunov functional to derive delay-dependent
LMI-based sufficient conditions under arbitrary switching and without relying to overbounding. For the control synthesis,
we design switched feedback schemes based on quadratic ℋ2, ℋ∞ and simultaneous ℋ2/ℋ∞ performance criteria. Under the developed transformation, it is established that both the instantaneous and delayed feedback
control yield identical results. Numerical examples are presented to illustrate the analytical development. 相似文献
8.
We study 2 reals x in terms of how they can be approximated symmetrically by a computable sequence of rationals. We deal with a natural notion of approximation representation and study how these are related computationally for a fixed x. This is a continuation of earlier work; it aims at a classification of 2 reals based on approximation and it turns out to be quite different than the existing ones (based on information content etc.)Mathematics Subject Classification (2000): 03F60, 03D30 相似文献
9.
Akira Hiraki 《Graphs and Combinatorics》2009,25(1):65-79
Let Γ be a distance-regular graph of diameter d ≥ 3 with c
2 > 1. Let m be an integer with 1 ≤ m ≤ d − 1. We consider the following conditions:
In [12] we have shown that the condition (SC)
m
holds if and only if both of the conditions (BB)
i
and (CA)
i
hold for i = 1,...,m. In this paper we show that if a
1 = 0 < a
2 and the condition (BB)
i
holds for i = 1,...,m, then the condition (CA)
i
holds for i = 1,...,m. In particular, the condition (SC)
m
holds. Applying this result we prove that a distance-regular graph with classical parameters (d, b, α, β) such that c
2 > 1 and a
1 = 0 < a
2 satisfies the condition (SC)
i
for i = 1,...,d − 1. In particular, either (b, α, β) = (− 2, −3, −1 − (−2)
d
) or holds. 相似文献
(SC) m : For any pair of vertices at distance m there exists a strongly closed subgraph of diameter m containing them. | |
(BB) m : Let (x, y, z) be a triple of vertices with ∂Γ(x, y) = 1 and ∂Γ(x, z) = ∂Γ(y, z) = m. Then B(x, z) = B(y, z). | |
(CA) m : Let (x, y, z) be a triple of vertices with and |C(z, x) ∩ C(z, y)| ≥ 2. Then C(x, z) ∪ A(x, z) = C(y, z) ∪ A(y, z). |
10.
For Ω bounded and open subset of
andX a reflexive Banach space with 1-symmetric basis, the function spaceJF
X
(Ω) is defined. This class of spaces includes the classical James function space. Every member of this class is separable
and has non-separable dual. We provide a proof of topological nature thatJF
X
(Ω) does not contain an isomorphic copy of ℓ1. We also investigate the structure of these spaces and their duals. 相似文献
11.
Transformations for a bilateral 2
ψ
2-series are investigated by means of Abel’s lemma on summation by parts. Two q-extensions of Dougall’s classical identity for bilateral 2H2-sum are established. As by-products, the Rogers–Fine identity is recovered and a new proof is presented for Bailey’s identity
of bilateral well-poised 6
ψ
6-series. 相似文献
12.
We obtain asymptotic equalities for the least upper bounds of approximations by Zygmund sums in the uniform metric on the
classes of continuous 2π-periodic functions whose (ψ, β)-derivatives belong to the set H
ω in the case where the sequences ψ that generate the classes tend to zero not faster than a power function. 相似文献
13.
In this paper, we show that, for each p 〉 1, there are continuum many Borel equivalence relations between Rω/l1 and Rω/p ordered by ≤B which are pairwise Borel incomparable. 相似文献
14.
Linda Brown Westrick 《Israel Journal of Mathematics》2017,219(1):431-448
A family of sets is union-free if there are no three distinct sets in the family such that the union of two of the sets is equal to the third set. Kleitman proved that every union-free family has size at most (1+o(1))( n/2 n ). Later, Burosch–Demetrovics–Katona–Kleitman–Sapozhenko asked for the number α(n) of such families, and they proved that \({2^{\left( {\begin{array}{*{20}{c}} n \\ {n/2} \end{array}} \right)}} \leqslant \alpha \left( n \right) \leqslant {2^{2\sqrt 2 \left( {\begin{array}{*{20}{c}} n \\ {n/2} \end{array}} \right)\left( {1 + o\left( 1 \right)} \right)}}\) They conjectured that the constant \(2\sqrt 2 \) can be removed in the exponent of the right-hand side. We prove their conjecture by formulating a new container-type theorem for rooted hypergraphs. 相似文献
15.
The James constant for the <Emphasis Type="Italic">l</Emphasis><Subscript>3</Subscript> − <Emphasis Type="Italic">l</Emphasis><Subscript>1</Subscript> space
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In this note, the exact value of the James constant for the l3-l1 space is obtained, J(l3-l1)=1.5573…. This result improves the known inequality, J(l3-l1)≤4/3√10, which was given by Dhompongsa, Piraisangjun and Saejung. 相似文献
16.
The near-group rings are an important class of fusion rings in the theory of tensor categories. In this paper, the irreducible ?+-modules over the near-group fusion ring K(?3, 3) are explicitly classified. It turns out that there are only four inequivalent irreducible ?+-modules of rank 2 and two inequivalent irreducible ?+-modules of rank 4 over K(?3, 3). 相似文献
17.
18.
V. A. Abilov F. V. Abilova M. K. Kerimov 《Computational Mathematics and Mathematical Physics》2009,49(7):1103-1110
Two estimates useful in applications are proved for the Fourier-Bessel integral transform in L 2(?+) as applied to some classes of functions characterized by a generalized modulus of continuity. 相似文献
19.
Given an operator T : X → Y between Banach spaces, and a Banach lattice E consisting of measurable functions, we consider the point-wise extension of the operator to the vector-valued Banach lattices
T
E
: E(X) → E(Y) given by T
E
(f)(ω) = T(f(ω)). It is proved that for any Banach lattice E which does not contain c
0, the operator T is an isomorphism on a subspace isomorphic to c
0 if and only if so is T
E
. An analogous result for invertible operators on subspaces isomorphic to ℓ
1 is also given. 相似文献
20.
Siegmund Duality for Continuous Time Markov Chains on ℤ<Stack><Subscript>+</Subscript><Superscript>d</Superscript></Stack>
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Pan Zhao 《数学学报(英文版)》2018,34(9):1460-1472
For the continuous time Markov chain with transition function P(t) on Z+d, we give the necessary and sufficient conditions for the existence of its Siegmund dual with transition function P(t). If Q, the q-matrix of P(t), is uniformly bounded, we show that the Siegmund dual relation can be expressed directly in terms of q-matrices, and a sufficient condition under which the Q-function is the Siegmund dual of some Q-function is also given. 相似文献