共查询到10条相似文献,搜索用时 78 毫秒
1.
Let G be a compact, connected semisimple Lie group and f∈L1(G) . De note by GRa(f,g) the Gauss-Weierstrass type means of Fourier series of f. 相似文献
2.
Let f(x) be a periodic function of period 2π,|f(x)|and |f(x)|p integrable on [0,2π].It is said to be f∈HX1,if (∫02π|f(x+h)-f(x)|pdx)1/p≤|h|.It is said to be f∈HX2,if (∫02π|f(x+h)+f(x-h)-2f(x)|pdx)1/p≤2|h|. 相似文献
3.
Let f∈L2π and let(?) be its Fourier series. For any γ>0 , the continuity modulus of fractional order γ of f∈L2πp(p≥1) is defined by. 相似文献
4.
Let Hα0ω denote the set of functions f(x)∈L2π such that ω(f,x0;t)≤ω(t),ω(t) being a given modulus of continuity. Let {nk} be a set of natural numbers satisfying the condition ni+1/nk>q>1, and let A= (απk) be a regular summation matrix. 相似文献
5.
Let G = SL(3,K) be a simply connected, semi-simple algebraic group of type A2 over an algebraically closed i'ield K of characteristic p>0. Let Γn = SL(3,pn) be a finite subgroup consisting of fixed points of the Frobenius morphism F2 of G. 相似文献
6.
Let Lp be the function space consisting of periodic functions f(t)with period 2π and f (t) be p-summable on a period, F2π-1 be the set of all trigonometric polynomials of degree相似文献
7.
In this paper, the authors discuss a generalization of Lappan’s theorem to higher dimensional complex projective space and get the following result: Let f be a holomorphic mapping of ? into Pn(C), and let H1, · · · , Hq be hyperplanes in general position in Pn(C).Assume that sup {(1 ? |z|2)f?(z) : z ∈ q[ j=1 f?1(Hj )o < ∞,if q ≥ 2n2 + 3, then f is normal. 相似文献
8.
Let f(x)∈C[-1,1],Tn(x)=cos (n arccos x),Un(x)=(sin((n+1)arccosx))/(1-x2)1/2,Pn(x) be the Legendre polynomials of degree n. And let ω(t ) be a given modulus of continuity, Hω={f|ω(f,t)≤ω(t)}.A. K. Sharma and J. Tzimbalario(J. Appro. Th., 13(1975), 431-442) considered the operators Ln,p (f, x) (p= 0, 1, 2,3) and obtained some theorems.In this paper, we prove the following theorems. 相似文献
9.
范畴RMnl上的一个函子 总被引:1,自引:1,他引:0
Let RMnl′ be a category which is equivalent to the category of left R-modules.In this paper,we define afunction F:RMnl→RMnl′ and prove that the functor Fpreserves products,direct limits,injections,surjectios and total esactness.Finally,we show that the functor F is a left-adjoint of the inclusion functor I:RMnl′→RMnl. Hence I:RMnl′ is a renective subcategory of RMnl. 相似文献
10.
Let S1 denote the circle. In this paper, we show the following.Theorem. Let f: S1→S1 be a continuous map and suppose f has a fixed point and the set of periodic points of f is closed, then the period of each periodic point of f is a power of 2.Corollary. Let f: S1→S1 be a continuous map and suppose the set of periodic points of f is closed, then there exists an odd integer m such that the set of periods of periodic points of f is contained in the set {m·2n; n = 0,1,2,…}. 相似文献