Đề tài " A quantitative version of the idempotent theorem in harmonic analysis " docx

... that 1 A ∗ β 1 (φ(x)) = 1 A  ∗β  1 (x), which clearly suffices to prove the result. Recalling the Annals of Mathematics A quantitative version of the idempotent theorem in harmonic analysis ... refinement of) Ruzsa’s analogue of Freiman’s theorem, which gives a fairly strong characterisation of subsets A ⊆ F n 2 satisfying a small doubling conditio...

Ngày tải lên: 22/03/2014, 20:21

... must consider various regions separately, taking advantage either of their shape or of the signs they determine. This will be one of the main themes of the next section. 6. Stability of the area radius In ... E(U)isthe so-called maximal domain of development of our initial data set. We will refer to ∂ E(U)asthe boundary of the maximal domain of development; it is...

Ngày tải lên: 05/03/2014, 23:20

... Miami, FL E-mail address: caoc@fiu.edu Dept. of Mathematics and Dept. of Mechanical and Aerospace Engineering, University of California, Irvine, CA and Dept. of Computer Science and Applied Mathematics, Weizmann ... to the shallowness of the oceans and the atmosphere, i.e., the depth of the fluid layer is very small in compar- ison to the radius of the earth, the...

Ngày tải lên: 06/03/2014, 08:21

... near Fort Kent and another section of the valley stretching from the town of Grande Isle to the town of Hamlin. The two areas were delineated as the research site because they are areas that ... Inc., 1995). ARC/INFO establishes spatially referenced data into covers that contain information about spatial relationships and information about points and areas. The conversio...

Ngày tải lên: 08/03/2014, 23:20

... the w i , and since w is the C 1,1 -limit obtained using the Arzela-Ascoli theorem, the lemma follows immediately. Remark. The preceding analysis can be applied to any sequence of Γ-admissible solutions ... fashion using the local estimates of S. Chen (Theorem 1.2). In the course of proving Theorem 2.2, in this paper we will also prove Theorem 2.3. Let (M n ,g)...

Ngày tải lên: 15/03/2014, 09:20

... elements of A. Let further A: I → GL (A) be a mapping from an open interval I in R into GL (A) , and assume that A is differentiable, in the sense that A  (t 0 ) := lim t→t 0 1 t − t 0  A( t) − A( t 0 )  exists ... ,X (n) r from SGRM(n, 1 n ) as defined in the introduction. Then X =(X (n) 1 , ,X (n) r )is a random variable taking values in E r,n , so that Y =Ψ(X) is...

Ngày tải lên: 22/03/2014, 20:20

... of N as ammonia absorbed from the rumen are obtained. An analysis on the rumen N balance was made of observations available in the database used in the present study. The data indicate that rumen ... factors such as substrate supply, the ratio of roughage and concentrate in the substrate and the sources and availability of carbohydrate and N. Specific rumen 272...

Ngày tải lên: 15/12/2013, 08:15

... that a variety of results can be achieved from intake of the same AA. The outcome of a set AA intake will depend on the dynamics of the governing factors in play in the metabolic situation being ... and that individually, neither synthesis nor degradation rates can explain the net balance of protein turnover. Integration of the myriad factors that control th...

Ngày tải lên: 15/12/2013, 09:15

... all cells need to maintain the ratio of ATP to ADP and AMP at an appropriate level. Relative concentrations of these adenosine nucleotides are linked by the adenylate kinase reaction (ATP þ AMP ... periods of negative energy balance, via resultant falls in leptin and thyrotropin, will lead to a decrease in basal metabolic rate, further emphasizing the critical, central role...

Ngày tải lên: 15/12/2013, 09:15

... sites of administration. The hypothalamic arcuate nucleus is one site of action of circulating leptin as it acts as an inhibitor of orectic peptides synthesized and released there (Rahmouni and Haynes, ... stabilize and increase the half-life of circulating IGF, and also modulate delivery of IGF to target tissues. For example, in sheep, the half-life of IGF-I in plasma...

Ngày tải lên: 15/12/2013, 09:15