Báo cáo toán học: "Some remarks on local spectral theory " docx

... in Difference Equations 2012, 2012:1 http://www.advancesindifferenceequations.com/content/2012/1/1 Page 5 of 8 RESEARCH Open Access Some results on difference polynomials sharing values Yong ... al.: Some results on difference polynomials sharing values. Advances in Difference Equations 2012 2012:1. Submit your manuscript to a journal and benefi t from: 7 Convenie...

Ngày tải lên: 20/06/2014, 21:20

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Ngày tải lên: 05/08/2014, 09:46

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Ngày tải lên: 05/08/2014, 15:20

... ∈ D 4 (f) then the sequence splits. Proof. Since E ∈ D 4 (f) andL f (α, ) ∈ D 3 (f) (see Proposition 2.11 in [1 ]) then (E,L f (α, )) ∈ S (see Proposition 2.9 in [1 ]). Then by Lemma 1.7 in [1] there ... ν( 2) = max((k, j),m( 2)) . Next we apply ( 4) to k =2,j = ν( 2) and choose ν( 3) = max((k, j),m( 3)) . Continuing this way and by putting a nk = a...

Ngày tải lên: 06/08/2014, 05:20

... type of Shcherbina on the relation between pluriporlarity of graphs and holomorphicity of complex-valued functions defined on a domain in C n . In particular we establish the relation between the ... of graphs and holomorphicity of complex-valued functions. In particular, we investigate the relation between the pluripolarity of graphs and th...

Ngày tải lên: 06/08/2014, 05:20

... proved some results on mid-point sets of two linear sets in the light of the Lebesgue density. In the present paper the authors restrict their investigations into mid-point sets of sets of natural ... authors study some properties of the mid-point sets of sets of natural numbers using upper (lower) asymptotic density of sets of natural numbers....

Ngày tải lên: 06/08/2014, 05:20

... of Mathematics 33:3 (2005) 350–356 Some Remarks on Weak Amenability of Weighted Group Algebras A. Pourabbas and M. R. Yegan Faculty of Mathematics and Computer Science, Amirkabir University of ... functions but such that  1 (G, ω) is not weakly amenable. For non-abelian groups, Borwick [2] gives a very interesting classification of weak amenability of Beurling al...

Ngày tải lên: 06/08/2014, 05:20

... motivated by Some Remarks on Set-Valued Minty Variational Inequalities 105 9. G. P. Crespi, I. Ginchev and M. Rocca, Existence of solutions and star-shapedness in Minty variational inequalities, ... efficiency in vector optimization with increasing-along-rays property and Minty variational inequalities, Proc. 8th International Symposium on Generalized Convexity and Monotoni...

Ngày tải lên: 06/08/2014, 05:20

... determined in all these cases. The final theorem gives at least a lower bound on P L q (u). According to Theorem 5, it is sufficent to consider only odd values of q. The following convention is used. ... some applications, let u(d) ≥ u ∈ N \{1}. (i) Let u = 3. Inequality (2) and Theorem 2 imply the condition 3d ≤ qn.Theorem5 shows that inequality (1) cannot improve this condition. (ii) L...

Ngày tải lên: 07/08/2014, 07:21

... completes our proof since the manipulations at the beginning of the section prove that the two quotients in (5.42) have the same Hilbert series. References [1] Yu. Berest, P. Etingof and V. Ginzburg, ... QI m (D n ) of m-quasi-invariants of D n . More precisely we have the electr onic jou rnal of combinatorics 12 (2005), #R20 8 Proof Because of uniqueness of the e...

Ngày tải lên: 07/08/2014, 08:22

... configuration is an astral [4, 4] configuration. Thus, if the [4, 5] configuration is to exist, it must be constructed using astral [4, 4] configurations, and similarly for other odd configurations. Hence, ... configuration. Conjecture 2. There are no astral [7, 5] and [5, 7] configurations. 10 Summary of Configuration Notation Table 2: Notation for type 1 astral configurations [q, k] configu...

Ngày tải lên: 07/08/2014, 13:21

... formulae of chromatic polynomials of non-uniform hypergraphs were men- tioned by Allagan [2]. He considered the special case of non-uniform elementary cycles H m which are constructed from an m-gon, ... L. Teo, Chromatic polynomials and chromaticity of graphs. Singapore: World Scientific Publishing. xxvii, 2005. [9] B. Eisenberg, Characterization of a polygonal graph by means...

Ngày tải lên: 08/08/2014, 01:20

... filtration in A θ is introduced exactly as in the part icular case θ = 1. We still have a canonical isomorphism of graded a lg ebras gr (A θ ) ≃ Λ and a canonical isomorphism of filtered algebras A ... information on Jack polynomials is required. The argument is based on a remarkable idea due to S. Kerov [5] and some considerations from my paper [12]. As indicated by R. P....

Ngày tải lên: 08/08/2014, 12:22

... elementary symmetric function (with e 0 = 1 and e r = 0 for r < 0) and ′ denotes the conjugate partition. 2 Diagonal strips We begin with some connections between generating functions and determinants. Lemma ... Weierstrass product for the function sin(πz)/πz takes the form sin(πz) πz =  k≥1  1 − z 2 k 2  . (3.1) Consider the Taylor series expansion at z = 0. On the one hand, the coeffi...

Ngày tải lên: 08/08/2014, 14:23