Đề tài " Whitney’s extension problem for Cm " pot

... conclusions of Lemma 5.4. Annals of Mathematics Whitney’s extension problem for Cm By Charles Fefferman WHITNEY’S EXTENSION PROBLEM FOR C m 331 The goal of the next several lemmas is ... I(x) for all x ∈ E 1 , and(7) d¯ = dim ¯ I(x) for all x ∈ E 1 .(8) WHITNEY’S EXTENSION PROBLEM FOR C m 329 Note that if F ∈ C m (R n ), with  F  C m ( R n ) ≤ C and...

Ngày tải lên: 15/03/2014, 09:20

... slow dimension growth condition for AH algebras (and therefore, a fortiori for ASH algebras), one obtains counterexamples to the Elliott conjecture of a particularly forceful nature, so that slow ... Rørdam both for suggesting the search for the automorphisms of Theorem 1.2 and for several helpful discussions, Søren Eilers and Copenhagen University for their hospitality in 2003, a...

Ngày tải lên: 16/02/2014, 06:20

... rule ˜ν f (σU j ):=α −j p [σ, e j ] f ,(20) for all compact open subsets of ˜ G ∞ of the form σU j with σ ∈ ˜ G ∞ . The distribution relation for ˜ν f is ensured by the fact that f is an eigenform for the U p operator ... quaternion algebra B. As before, to the form φ 0 is associated a unique function f 0 : B × \ ˆ B × / ˆ R × 0 −→ C(11) satisfying T  f = a  f for all |N 0 . As be...

Ngày tải lên: 06/03/2014, 08:21

... satisfy the hypotheses (SL1, , 4) of the Strong Main Lemma for ¯ A, with a constant determined A SHARP FORM OF WHITNEY’S EXTENSION THEOREM 525 by C, m, n in (WL1, , 4). In fact, (SL1) for the ¯ P α is ... A, m, n.(8) Annals of Mathematics A sharp form of Whitney’s extension theorem By Charles L. Fefferman A SHARP FORM OF WHITNEY’S EXTENSION THEOREM 527 From (1),...

Ngày tải lên: 29/03/2014, 07:20

... y  i for i > m. Thus y  = π A (y) is such that y  i = τ i for i ≤ m, and y  i = y  i for i > m, so that z = Ξ(y  ) is such that z i = τ  i for i < m. Moreover z i = y  i for ... ≤ α for each i. Proof. For each n, let U n =  p; ϕ k,p   i≤n E i  < 4  so that U n ∈ U by Lemma 6.1. For p ∈ U n we can find F n,p ⊂ C k,p with  i≤n E i ⊂ ∪F n,p and w(F n...

Ngày tải lên: 22/03/2014, 20:21

... important problem in the theory of automor- phic forms is the question of the existence and the construction of cusp forms for Γ. By Langlands’ theory of Eisenstein series [La], cusp forms are ... existence of cusp forms for the group G =SL n . The main purpose of this paper is to prove that cusp forms exist in abundance for congruence subgroups of SL n (Z), n ≥ 2. WEYL’S LAW FOR TH...

Ngày tải lên: 29/03/2014, 07:20

Ngày tải lên: 20/12/2013, 10:51

... mouse_click(); delay(1000); setcolor(15); for( int x=0;x<=n;x++) line(startx, starty+x*width/n, startx+width, starty+x*width/n); //ke duong ngang for( int y=0;y<=n;y++) line(startx+y*width/n, ... line(startx+y*width/n, starty, startx+y*width/n, starty+width); //ke duong doc for( int x=1;x<=n;x++) for( int y=1;y<=n;y++) if((x+y)%2) floodfill(startx+x*width/n...

Ngày tải lên: 23/12/2013, 12:47

... ) fr (1) (and similarly for the l-adic and de Rham realizations). This conjecture has been proved for curves [10], for the second cohomology of projective surfaces [9], and for the first cohomology ... show (2.7.1) Pic(X, Y ; i)=H i+2 D (X, Y ; (1)) for i ≤ 0. This is analogous to the canonical isomorphisms for CH 1 (X, i)=H AH 2n−2+i (X, (n − 1)) which holds for i>0 and any v...

Ngày tải lên: 14/02/2014, 17:20

... X C → S C is equivariant for the action of PSL 2 (F 9 ) on the left and A 6 on the right. The form σ k (s 0 , ,s 5 ) is invariant under PSL 2 (F 9 ), and is therefore a cusp form of level 1 and weight ... subgroup ¯ρ A, √ 5 (I w ) ⊂ SL 2 (F 5 ) is unipotent, for every prime w|3. In particular, after passing to an unramified extension F w of F 2;w , we have ¯ρ A, √ 5 ∼ = ¯ρ α for some α...

Ngày tải lên: 16/02/2014, 05:20