Đề tài " Positive extensions, Fej´erRiesz factorization and autoregressive filters in two variables " pot

... 839–906 Positive extensions, Fej´er-Riesz factorization and autoregressive filters in two variables By Jeffrey S. Geronimo and Hugo J. Woerdeman* Abstract In this paper we treat the two- variable positive ... |w|≤1 and some |b|≤1, and every intersecting zero (z,w) of p satisfies |z| =1 or |w| =1. Annals of Mathematics Positive extensions, Fej´er- Riesz fact...

Ngày tải lên: 22/03/2014, 16:20

... the sum in (0.14) and compensating by adding the ζ-regularized value outside the sum. The same regularization can be obtained in a more elementary fashion by summing the following generating series: ∞  i=1 ∞  k=0 (−i ... from the results of [12] and, more generally, from the line of research pursued in 532 A. OKOUNKOV AND R. PANDHARIPANDE [11], [12]. Our interaction with S. Bloch...

Ngày tải lên: 16/02/2014, 05:20

... of the set S, and  the intertwining isometry between the “natural” and the “standard” Schr¨odinger models at p given by [Y, p. 47, (2.28)]. 4 4 The printing error |x 3 0 α| 1/3 in this equation ... use the following notation: since p is split, we have po K = p ¯ p, and to the primes p and ¯ p above p correspond the two embeddings ι p and ι ¯ p of o K into Z p . Together they in...

Ngày tải lên: 06/03/2014, 08:21

... domain of discontinuity of Γ K i . Each projective structure Σ K i = Ω K i /Γ K i can then be cut into two pieces Σ − K i and Σ + K i and there is an involution φ i of Σ K i swapping the two ... A in M. We then distinguish between the two copies of A in the boundary of M − A by labeling A + the copy of A where the normal points outward and A − the copy of A where the normal po...

Ngày tải lên: 06/03/2014, 08:21

... standard middle third Cantor set obtained by removing the middle third of the unit interval [0, 1] and then inductively repeating the process on each of the remaining intervals. For our purpose, a convenient ... takes into consideration the specific applications that we have in mind. 384 VICTOR BERESNEVICH, DETTA DICKINSON, AND SANJU VELANI 3.1. Ubiquitous systems in R. Let I 0 be an i...

Ngày tải lên: 15/03/2014, 09:20

... the noncommutative ring ¯ k[σ] and the commu- tative ring ¯ k[t] as subrings. The ring F q [t] is contained in the center of the ring ¯ k[t, σ]. The ring ¯ k[t, σ] is a domain. Proposition 4.3.2. ... geometric Γ-function over F q [T ] are explained by the standard functional equations. Contents 1. Introduction 2. Notation and terminology 3. A linear independence criterion 4. Tools from...

Ngày tải lên: 22/03/2014, 16:20

... −J 0;n;F ). By expanding in minors g n+2 (z)=(z + z −1 )g n+1 (z) −g n (z). Given that g 1 = z + z −1 and g 0 =1,weobtain the first equality of (2.9) by induction. The second equality and (2.10) then ... pertur- bation determinant and the Jost function. In Section 3, we give a proof of the Case sum rules for nice enough J − J 0 in the spirit of Flaschka’s [16] and Case’s [7] pape...

Ngày tải lên: 28/03/2014, 22:20

... ( g,K)-embedding of V into a principal series representation (3.1) V → (Ind G P min (σ ⊗ λ ⊗1), H σ,λ ) where P min = MAN is a minimal parabolic subgroup. In the next section we recall the standard terminology ... all zero in the real convex cone C = {z ∈ C: ϕ m − π<arg(z) ≤ ϕ m } in C. In particular  m j=1 c j e iϕ j is nonzero since the convex cone C is pointed (i.e. contains no...

Ngày tải lên: 28/03/2014, 22:20

... canonical injection. 4.1.6. Let C, C  , D and D  be four categories, G : C→C  , G ∨ : C  →C, H : D→D  and H ∨ : D  →D, and (G, G ∨ ) and (H, H ∨ ) be two adjoint pairs. Let F : C→Dand F  : ... D shows that G(D)is0 in D b (A  ). Remark 5.9. Let F be the smallest full subcategory of A closed under extensions and direct summands and containing E i T for all i ≥ 0 and T...

Ngày tải lên: 29/03/2014, 07:20

... ampicillin and intermediate to ampicillin/sulbactam. It was sensitive to the cephalosporins (cefazolin, cefotaxime, and cefepime), the fluoroquinolones (ciprofloxacin, levofloxacin), the aminoglycosides ... (amikacin, gentamicin, and tobra- mycin), meropenem, pipercillin/tazobactam and trimethoprim/sulfa. At this point, the patient was started on meropenem. The initial CT scan o...

Ngày tải lên: 26/10/2012, 09:53