Báo cáo toán học: "Uniqueness Theorems for Harmonic and Separately Harmonic Entire Functions on CN" doc

... 2004 Abstract. For harmonic and separately harmonic functions, we give results similar to the Carlson-Boas theorem. We give also harmonic analogous of the Polya and Guelfond theorems. 1. Introduction The ... following results. Uniqueness Theorems for Harmonic and Separately Harmonic Entire Functions on C N 187 h(z 1 , ,z m, z,0, ,0) = 0, ∀(z 1 , ,z m ) ∈ C m...

Ngày tải lên: 06/08/2014, 05:20

... Park, Some coincidence theorems on an acyclic multifunctions and applications to KKM theory, In “Proceedings of 2nd International Conference on Fixed Point Theory and Applications, Halifax, June ... 4.2.  Existence Theorems for Some Generalized Quasivariational Inclusion Problems 121 be a closed convex cone and F : E × K × K −→ 2 Y be a upper D-continuous and lower (−D)-con...

Ngày tải lên: 06/08/2014, 05:20

... referee for a prompt, thorough reading of this paper and for many insightful suggestions which improved it. We are indebted to the referee for formulas (4.1)–(4.3), formulas (4.10)–(4.13), and for Theorems ... The foregoing observations establish (2.9) for 0  n  2since R ∗ n = R n for such n. Thus, it remains only to construct a ν-parity changing involution of R n −R ∗ n...

Ngày tải lên: 07/08/2014, 08:22

... Then β(G)=(−1) r(G)  S⊆E (−1) |S| r(S). The next proposition follows from applying ∂ ∂t to the deletion-contraction recur- sion in Proposition 3.2 of [17]. Proposition 2.2 (Deletion-contraction). Let G be a greedoid and let {e}∈F. Then β(G)=β(G/e)+(−1) r(G)−r(G−e) β(G ... gives an expansion for β(A) for an antimatroid A which is similar to the M¨obius function formulation for a matro...

Ngày tải lên: 07/08/2014, 06:20

... to the line X 4t , and therefore cannot be the same. Remark. The only values of r for which better constructions are known are r = 3and r = 5; see [4]. 4 A general construction for the brick wall ... as well as for the brick wall grid, valid for all values of r. Sections 3 and 4 give general constructions in the triangular lattice and brick wall grid, respectively. In the Concl...

Ngày tải lên: 07/08/2014, 06:22

... numbers within the vertices and the permutation corresponding to each vertex. Let S 4 act on X by conjugation. (This action does consist of graph automorphisms since conjugation preserves inverses.) ... φ O and φ X\O . Consequently g is in the subgroup Stab(O) ∩ Stab(X\O)andsog is in Stab(X). This gives a numerical condition for 2-distinguishability. Corollary 2.4. Suppose Γ acts on...

Ngày tải lên: 07/08/2014, 08:20

... G n w(S), and m n is the monomial x c 1 1 x c 2 2 where c 1 and c 2 characterize the 2-skeleton of G n . These constructions appear as Theorem 1 and Theorem 4 in sections 2 and 3, for the (2, 2)- and (1, ... interpretation for the semicanonical basis It was shown in [12] that a canonical basis for the positive cone consists of cluster monomi- als, that is monomials of the form...

Ngày tải lên: 07/08/2014, 15:22

... easy induction on n shows the existence of such a colouring, and that it is unique up to permutations of all three colours. A rooted polygon is, by definition, a (convex) polygon containing a ... years before Catalan’s paper [4], Fuß [7] enumerated the dissections of a convex ((d − 1)n + 2)-g on into (d + 1)- gons (obviously, any such dissection will consist of n (d + 1)-gons) and foun...

Ngày tải lên: 08/08/2014, 14:23

... from the studies come to different conclusions. Kim and Moody [25], and Hertz and Landon [26] found no significant association between density of doc- tors and infant mortality; while Cochrane ... similar in sign and in significance to the coefficients for the aforementioned total DALYs for the two sets of equations. The only exceptions were the coefficient for ‘health worke...

Ngày tải lên: 18/06/2014, 17:20

... determinants Tables 1 and 2 give rise to some questions and conjectures about the determinants  D n (p) and D n (p) as functions of p. In this section we derive a number of properties of these functions. Proposition ... famous congruence due to Wolstenhome, namely  2p − 1 p − 1  ≡ 1 (mod p 3 ). for primes p ≥ 5. See, e.g., [1] for this connection, and [14] for a well-know...

Ngày tải lên: 07/08/2014, 15:23