共查询到20条相似文献,搜索用时 578 毫秒
1.
Archiv der Mathematik - For arbitrary $$S^{1}$$ -actions on $$S^{m}_{{\mathbb {Q}}}$$ , $$S^{n}_{{\mathbb {Q}}}$$ , and $$S^{m}_{{\mathbb {Q}}}\times S^{n}_{{\mathbb {Q}}}$$ , we show the... 相似文献
2.
Acta Mathematica Hungarica - For any positive integer m, let $$\mathbb{Z}_{m}$$ be the set of residue classes modulo m. For $$A\subseteq \mathbb{Z}_{m}$$ and $$\overline{n}\in \mathbb{Z}_{m}$$ ,... 相似文献
3.
Periodica Mathematica Hungarica - For any positive integer m, let $$\mathbb {Z}_{m}$$ be the set of residue classes modulo m. For $$A\subseteq \mathbb {Z}_{m}$$ and $$\overline{n}\in \mathbb... 相似文献
4.
In this paper, we mainly study a family of unbounded non-hyperbolic domains in $$\mathbb {C}^{n+m}$$, called Fock–Bargmann–Hartogs domains $$D_{n,m}(\mu )$$ ($$\mu >0$$) which are defined as a Hartogs type domains with the fiber over each $$z\in \mathbb {C}^{n}$$ being a ball of radius $$e^{-\frac{\mu }{2} {\Vert z\Vert }^{2}}$$. The purpose of this paper is twofold. Firstly, we obtain necessary and sufficient conditions for Rawnsley’s $$\varepsilon $$-function $$\varepsilon _{(\alpha ,g)}(\widetilde{w})$$ of $$\big (D_{n,m}(\mu ), g(\mu ;\nu )\big )$$ to be a polynomial in $$\Vert \widetilde{w}\Vert ^2$$, where $$g(\mu ;\nu )$$ is a Kähler metric associated with the Kähler potential $$\nu \mu {\Vert z\Vert }^{2} -\ln (e^{-\mu {\Vert z\Vert }^{2}}-\Vert w\Vert ^2)$$. Secondly, using above results, we study the Berezin quantization on $$D_{n,m}(\mu )$$ with the metric $$\beta g(\mu ;\nu )$$$$(\beta >0)$$. 相似文献
5.
The Ramanujan Journal - Let $$\mathbb {Z}_{n}$$ be the additive group of residue classes modulo n. Let s(m, n) denote the total number of subgroups of the group $$\mathbb {Z}_{m} \times... 相似文献
6.
Let G(V, E) be a unicyclic graph, Cm be a cycle of length m and Cm G, and ui ∈ V(Cm). The G - E(Cm) are m trees, denoted by Ti, i = 1, 2,..., m. For i = 1, 2,..., m, let eui be the excentricity of ui in Ti and ec = max{eui : i = 1, 2 , m}. Let κ = ec+1. Forj = 1,2,...,k- 1, let δij = max{dv : dist(v, ui) = j,v ∈ Ti}, δj = max{δij : i = 1, 2,..., m}, δ0 = max{dui : ui ∈ V(Cm)}. Then λ1(G)≤max{max 2≤j≤k-2 (√δj-1-1+√δj-1),2+√δ0-2,√δ0-2+√δ1-1}. If G ≌ Cn, then the equality holds, where λ1 (G) is the largest eigenvalue of the adjacency matrix of G. 相似文献
7.
Aequationes mathematicae - A.M. Kagan introduced a class of distributions $$\mathcal {D}_{m, k}$$ in $$\mathbb {R}^m$$ and proved that if the joint distribution of m linear forms of n independent... 相似文献
8.
The Ramanujan Journal - Let $$k\in \mathbb {N}_{\ge 2}$$ and for given $$m\in \mathbb {Z}{\setminus }\{0\}$$ consider the sequence $$(S_{k,m}(n))_{n\in \mathbb {N}}$$ defined by the power series... 相似文献
9.
Ukrainian Mathematical Journal - We study C*-algebras $$ {\mathcal{O}}_{n+m}^{\hat{q}} $$ generated by isometries $$ {\left\{{S}_i\right\}}_{i=1}^n\bigcup {\left\{{t}_j\right\}}_{j=1}^m, $$ where... 相似文献
10.
J. Prestin 《Analysis Mathematica》1987,13(3):251-259
ПустьM m,α - множество 2π-п ериодических функци йf с конечной нормой $$||f||_{p,m,\alpha } = \sum\limits_{k = 1}^m {||f^{(k)} ||_{_p } + \mathop {\sup }\limits_{h \ne 0} |h|^{ - \alpha } ||} f^{(m)} (o + h) - f^{(m)} (o)||_{p,} $$ где1 ≦ p ≦ ∞, 0≦α≦1. Рассмотр им средние Bалле Пуссе на $$(\sigma _{n,1} f)(x) = \frac{1}{\pi }\int\limits_0^{2x} {f(u)K_{n,1} (x - u)du} $$ и $$(L_{n,1} f)(x) = \frac{2}{{2n + 1}}\sum\limits_{k = 1}^{2n} {f(x_k )K_{n,1} } (x - x_k ),$$ де0≦l≦n и x k=2kπ/(2n+1). В работе по лучены оценки для вел ичин \(||f - \sigma _{n,1} f||_{p,r,\beta } \) и $$||f - L_{n,1} f||_{p,r,\beta } (r + \beta \leqq m + \alpha ).$$ 相似文献
11.
Antonio G. García Miguel A. Hernández-Medina 《Mediterranean Journal of Mathematics》2005,2(3):345-356
Let
be a symmetric operator with compact resolvent defined in a Hilbert space
For any fixed
we consider an entire
function Ka which involves the resolvent of
Associated with Ka we obtain, by duality in
a Hilbert space
of entire functions which becomes a De Branges space of entire functions. This property provides a characterization of
regardless of the anti-linear mapping which has
as its range space. There exists also a sampling formula allowing to recover any function in
from its samples at the sequence of eigenvalues of
This work has been supported by the grant BFM2003–01034 from the D.G.I. of the Spanish Ministerio de Ciencia y Tecnología. 相似文献
12.
In this paper we solve moment problems for Poisson transforms and, more generally, for completely positive linear maps on unital C*-algebras generated by universal row contractions associated with
, the free semigroup with n generators. This class of C*-algebras includes the Cuntz-Toeplitz algebra
(resp.
) generated by the creation operators on the full (resp. symmetric, or anti-symmetric)) Fock space with n generators. As consequences, we obtain characterizations for the orbits of contractive Hilbert modules over complex free semigroup algebras such as
,and, more generally, the quotient algebra
, where J is an arbitrary two-sided ideal of
. All these results are extended to the generalized Cuntz algebra
, where Gi+ are the positive cones ofdiscrete subgroups Gi+ of the real line
. Moreover, we characterize the orbits of Hilbert modules over the quotient algebra
, where J is an arbitrary two-sided ideal ofthe free semigroup algebra
. 相似文献
13.
14.
R. K. S. Rathore 《Aequationes Mathematicae》1978,18(1-2):206-217
This note is a study of approximation of classes of functions and asymptotic simultaneous approximation of functions by theM n -operators of Meyer-König and Zeller which are defined by $$(M_n f)(x) = (1 - x)^{n + 1} \sum\limits_{k = 0}^\infty {f\left( {\frac{k}{{n + k}}} \right)} \left( \begin{array}{l} n + k \\ k \\ \end{array} \right)x^k , n = 1,2,....$$ Among other results it is proved that for 0<α≤1 $$\mathop {\lim }\limits_{n \to \infty } n^{\alpha /2} \mathop {\sup }\limits_{f \in Lip_1 \alpha } \left| {(M_n f)(x) - f(x)} \right| = \frac{{\Gamma \left( {\frac{{\alpha + 1}}{2}} \right)}}{{\pi ^{1/2} }}\left\{ {2x(1 - x)^2 } \right\}^{\alpha /2} $$ and if for a functionf, the derivativeD m+2 f exist at a pointx∈(0, 1), then $$\mathop {\lim }\limits_{n \to \infty } 2n[D^m (M_n f) - D^m f] = \Omega f,$$ where Ω is the linear differential operator given by $$\Omega = x(1 - x)^2 D^{m + 2} + m(3x - 1)(x - 1)D^{m + 1} + m(m - 1)(3x - 2)D^m + m(m - 1)(m - 2)D^{m - 1} .$$ 相似文献
15.
The Ramanujan Journal - Let $$\hat{\mathscr {L}}$$ be the operator given by $$\hat{\mathscr {L}} \{a_n\}_{n \ge 0} = \{a_{n+1}^2 - a_{n} a_{n+2} \}_{n \ge 0}$$ . A sequence $$\{ a_n \}_{n \ge 0}$$... 相似文献
16.
Acta Mathematica Sinica, English Series - Let Gλ, λ > 0, be a Grushin type operator on $$\mathbb{R}^{n}\times\mathbb{R}^{m}$$ . In this paper, we will first establish existence and... 相似文献
17.
Monatshefte für Mathematik - Let $$M^n$$ be a complete submanifold in the hyperbolic space $$\mathbb {H}^{n+m}$$ . We show the vanishing of the Betti numbers $$\beta _p(M)$$ , $$1 \le p \le... 相似文献
18.
A. A. Zakharov 《Mathematical Notes》1968,3(1):45-49
We show that $$|f(x) - V_{n,m} (f,x)| \leqslant \frac{C}{{m + 1}}\sum\nolimits_{h = n - m}^n {E_k [1 + In\left( {\frac{{n - m}}{{h - n + m + 1}}} \right)],}$$ for every continuous function with period 2Μ, where C is an absolute constant and 0 ≤ m ≤ n, and we then apply this bound. 相似文献
19.
The optimal value function
of the quadratic program
, where
is a given symmetric matrix,
a given matrix,
and
are the linear perturbations, is considered. It is proved that
is directionally differentiable at any point
in its effective domain
. Formulae for computing the directional derivative
of
at
in a direction
are obtained. We also present an example showing that, in general,
is not piecewise linear-quadratic on W. The preceding (unpublished) example of Klatte is also discussed. 相似文献
20.
We prove mapping theorems for some convolution operators, acting from Sobolev type spaces in
to Lorentz spaces defined on
with a fractional-order Carleson measure. As an application of the major theorems, we give some a priori estimates for the
solutions of certain elliptic equations. 相似文献