Báo cáo toán học: "Remarks on the singular extension in the C*-algebra of the Heisenberg group " docx

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Ngày tải lên: 05/08/2014, 10:20

... T); W ), then using the Gronwall inequality and similar energy method to the proof of Theorem 3.1 in Qin, Yang and Liu [10], we can deduce the boundedness of u and the existence of absorbing set. ... nonlinear property, the existence of strong solution remains open. For the infinite- dimensional dynamical systems, Sell [5] constructed the semiflow generated by the we...

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

... 1 = qi + r as in the definition of S(i, d) (1 ≤ r ≤ i). Proof. In the definition of S(i, d) let the set of vertices of σ r be F ⊎{v}. Then the number of j-faces in S(i, d) containing v is f j−1 (S(i, ... d−1)), of those containing F is f j−r (S(i, d−r)) and of those containing neither v nor F is f j (S(i, d − 1)). The assertion thus follows. Proof of Theorem 1.1(...

Ngày tải lên: 08/08/2014, 01:20

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Ngày tải lên: 05/08/2014, 10:20

... trivial representation 1, the one-dimensional representation that maps all elements of G to the identity operator on C. The second is the regular representation R, given by the permutation action of G on itself. ... in Section 3. 2 Background We outline, below, the elements of graph theory, representation theory, and probability theory required for the statement of...

Ngày tải lên: 07/08/2014, 08:20

... Ω 1,x,e (a)orΩ 1,x,s (a). x 1 x 3 y 0 y 2 z 3 p 2 x 1 x 3 y 0 y 2 z 1 z 3 p 2 Figure 25: The situation for a set σ in Ω 1,x,s (a) in case (A) of the proof of Lemma 5.15; x 1 = x. The reflection about the dotted line yields the situation in Step I of the proof of Lemma 5.14; ... remains to compute the total number of tilings, not only those containing the origin....

Ngày tải lên: 07/08/2014, 13:21

... proof of their result. 3 Variations on the inversion statistic In this section we introduce analogs of the inversion statistic on permutations correspond- ing to the odd 3-factor and the alternating ... the order in which they must be concatenated to form the original permutation σ. Indeed, the first block is the one containing 1, the second block contains the l...

Ngày tải lên: 07/08/2014, 21:20

... P i the set of points in P that are incident to the ith line in L. Consider a polygonal chain C consisting of |L| line segments such that the ith segment s i has the same slope as the ith line of ... line of L. Since we sorted the lines in L by their slopes, C is a (weakly) c onvex chain. Set the length of each line segment to be at least the diameter of the...

Ngày tải lên: 08/08/2014, 11:20