共查询到20条相似文献,搜索用时 31 毫秒
1.
N. N. Achasov 《Theoretical and Mathematical Physics》2012,170(1):39-51
We expounded an approach for studying the Z ?? ??? and Z ?? ???? decay based on the sum rules for the $Z \to c\bar c \to \gamma \gamma *$ and $Z \to b\bar b \to \gamma \gamma *$ amplitudes and their derivatives. We calculate the branching ratios of the Z ?? ??? and Z ?? ???? decays under different suppositions about the saturation of the sum rules. We find the lower bounds of ?? ?? BR(Z ?? ???) = 1.95 · 10 ?7 and ?? ?? BR(Z ?? ????) = 7.23 · 10?7 and discuss deviations from the lower bounds including the possibility of BR[Z ?? ??J/??(1S)] ?? BR[Z ?? ????(1S)] ?? 10 ?6 , which is probably measurable at the LHC. Moreover, we calculate the angle distributions in the Z ?? ??? and Z ?? ???? decays. 相似文献
2.
We prove a Sobolev embedding theorem for functions that are in a Sobolev space while their
is in Lt, fort large enough. This allows us to deduceL
p
or Lipschitz estimates with loss from classical Sobolev estimates for the solution of
in weakly pseudo-convex domains. 相似文献
3.
A combinatorial proof that the number of points of the space \(\overline {{M_{0,n}}} \left( {{F_q}} \right)\) satisfies the recurrent formula for the Poincaré polynomials of the space \(\overline {{M_{0,n}}} \left( \mathbb{C} \right)\) is obtained. 相似文献
4.
5.
A. V. Skorikov 《Mathematical Notes》1975,17(5):411-417
We consider the problem of describing the spaces \(L_p^{\overrightarrow \alpha } \) (Ω), Ω ≠E n of Bessel potentials in terms of the “modified” fractional derivatives of Marchaud. 相似文献
6.
G. Molteni 《Acta Mathematica Hungarica》2007,117(1-2):61-76
Let ζ be a primitive q′-root of unity. We prove that the series $ \sum\nolimits_{n = 1}^\infty {{{\zeta ^{ \llcorner n\theta \lrcorner } } \mathord{\left/ {\vphantom {{\zeta ^{ \llcorner n\theta \lrcorner } } n}} \right. \kern-0em} n}} $ for θ ∈ Q converges if and only if θ = p/q with (p,q) = 1 and q′ ? p, and that there exists an uncountable set S of Liouville’s numbers such that the series does not converge when θ ∈ S. 相似文献
7.
8.
I. O. Krasnobaev 《Mathematical Notes》2008,83(5-6):759-769
We obtain a necessary condition for the completeness of the system $$ e(\Lambda ) = \left\{ {e^{ - \lambda _n t} |Re\lambda _n > 0,n \in \mathbb{Z}} \right\} $$ in the spaces C 0 and L p (?+), p > 2, for the case in which the set of limit points of the sequence {λ n } is countable and separable. 相似文献
9.
A. I. Kamzolov 《Mathematical Notes》1978,23(3):185-189
Asymptotic estimates for the approximation of the functional classes
by means of the Fejér means in the metric of the spaces s[–,] are obtained.Translated from Matematicheskie Zametki, Vol. 23, No. 3, pp. 343–349, March, 1978.In conclusion, the author thanks V. M. Tikhomirov for assistance with this note and discussion of the results. 相似文献
10.
Journal of Algebraic Combinatorics - We show that the $$\gamma $$ -vector of the interval subdivision of a simplicial complex with a nonnegative and symmetric h-vector is nonnegative. In... 相似文献
11.
We describe the functions needed in the determination of the rate of convergence of best $L^\infty $ rational approximation to $\exp ( - x)$ on [0,∞) when the degree n of the approximation tends to ∞ (“1/9” problem). 相似文献
12.
Lan Ma 《manuscripta mathematica》1992,74(1):177-193
A solution operator for the \(\bar \partial \) -equation on strictlyq-convex domains with nonsmooth boundary is constructed. It is proved that the solution satisfies optimal 1/2-Hölder andL p estimates. 相似文献
13.
Andrzej Olbryś 《Aequationes Mathematicae》2017,91(3):429-444
In the present paper we introduce a notion of the \(\mathbb {K}\)-Riemann integral as a natural generalization of a usual Riemann integral and study its properties. The aim of this paper is to extend the classical Hermite–Hadamard inequalities to the case when the usual Riemann integral is replaced by the \(\mathbb {K}\)-Riemann integral and the convexity notion is replaced by \(\mathbb {K}\)-convexity. 相似文献
14.
M. V. Buslaeva 《Journal of Mathematical Sciences》1983,22(1):1032-1035
The asymptotic behavior asn, m → ∞ of the sum $$\sum\limits_{\kappa ,\ell = m}^{n - 1} {\exp \left[ {i\omega \sqrt n \left( {\sqrt \kappa + \sqrt \ell } \right)} \right]} \Phi \left( {1 - \frac{{\left| {\sqrt \kappa - \sqrt \ell } \right|}}{\Delta }} \right)$$ is studied where π(t)=0 for t?0 and φ(t)=t for t > 0. 相似文献
15.
16.
Bezdek 《Discrete and Computational Geometry》2002,28(1):75-106
Abstract. The sphere packing problem asks for the densest packing of unit balls in E
d
. This problem has its roots in geometry, number theory and information theory and it is part of Hilbert's 18th problem.
One of the most attractive results on the sphere packing problem was proved by Rogers in 1958. It can be phrased as follows.
Take a regular d -dimensional simplex of edge length 2 in E
d
and then draw a d -dimensional unit ball around each vertex of the simplex. Let σ
d
denote the ratio of the volume of the portion of the simplex covered by balls to the volume of the simplex. Then the volume
of any Voronoi cell in a packing of unit balls in E
d
is at least ω
d
/σ
d
, where ω
d
denotes the volume of a d -dimensional unit ball. This has the immediate corollary that the density of any unit ball packing in E
d
is at most σ
d
. In 1978 Kabatjanskii and Levenštein improved this bound for large d . In fact, Rogers' bound is the presently known best bound for 4≤ d≤ 42 , and above that the Kabatjanskii—Levenštein bound takes over. In this paper we improve Rogers' upper bound for the density
of unit ball packings in Euclidean d -space for all d≥ 8 and improve the Kabatjanskii—Levenštein upper bound in small dimensions. Namely, we show that the volume of any Voronoi
cell in a packing of unit balls in E
d
, d≥ 8 , is at least ω
d
/
d
and so the density of any unit ball packing in E
d
, d≥ 8, is at most
d
, where
d
is a geometrically well-defined quantity satisfying the inequality
d
<σ
d
for all d≥ 8 . We prove this by showing that the surface area of any Voronoi cell in a packing of unit balls in E
d
, d≥ 8 , is at least (d⋅ω
d
)/
d
. 相似文献
17.
Giuseppe Zampieri 《Israel Journal of Mathematics》2000,115(1):321-331
For awedge W of ?N, we introduce an intrinsic condition of weakq-pseudoconvexity which can be expressed in terms ofq-subharmonicity both of a defining function or an exhaustion function. Under this condition we prove solvability of the $\bar \partial $ system for forms withC ∞ (W)-coefficients of degree ≥q+1. Our method relies on theL 2-estimates by Hörmander. ForC ∞(W) solvability we refer to Hörmander (if ?W∈C 2), and to Zampieri (for general wedgesW). ForC ∞ (W) solvability and with ?W∈C 2, we 025 refer to Dufresnoy (ifq=0), Michel (if the number of negative Levieigenvalues of ?W is constant), and finally Zampieri (for more generalq-pseudoconvexity). 相似文献
18.
19.
Siberian Mathematical Journal - Let $ \pi $ be a proper subset of the set of all primes and $ {|\pi|\geq 2} $ . Denote the smallest prime not in $ \pi $ by $... 相似文献
20.
In this paper we determine the method of multi-parameter interpolation and the scales of Lebesgue spaces $B_{\vec p} \left[ {0,2\pi } \right)$ and Besov spaces $B_{\vec p}^{\vec \alpha } \left[ {0,2\pi } \right)$ , which are generalizations of the Lorentz spacesL pq [0, 2π) and Besov spacesB pq α [0, 2π). We also prove imbedding theorems. 相似文献