We apply the methods developed in [Br1] to study holomorphic functions of slow growth on coverings of pseudoconvex domains in Stein manifolds. In particular, we extend and strengthen certain results of Gromov, Henkin and Shubin [GHS] on holomorphic L2 functions on coverings of pseudoconvex manifolds in the case of coverings of Stein manifolds.

The original proof used the dual cell decomposition of the triangulation of X . As algebraic topology developed in the course of the century, it became possible to extend the Poincaré duality theorem to non-triangulable topological manifolds, and also to homology manifolds. In 1961, Browder [Br1] proved that a finiteH-space satisfies Poincaré duality. This result led him to question whether or ...

(1.1) G = A1F1 + · · ·+ AkFk where s is an integer ≥ 0. In the usual proofs of this result, one is not concerned with estimates about the degree of the Aj ’s and the exponent s. This question was considered by Brownawell [Br1] and later by N. Fitchas [Fi] and Kollár [K]. Kollár got the best estimates under the technical hypothesis deg Fj 6= 2 for j > 1. Namely it is possible to solve (1.1) with...

We present an elementary proof of an important result of Y. Brenier ([Br1], [Br2]), namely that vector fields in R satisfying a nondegeneracy condition admit the polar factorization (∗) u(x) = ∇ψ(s(x)), where ψ is a convex function and s is a measure-preserving mapping. Brenier solves a minimization problem using Monge-Kantorovich theory, whereas we turn our attention to a dual problem, whose E...

Let G be a simply connected algebraic group over a field k of characteristic 0, H a connected k-subgroup of G, X = H\G. When k is a local field or a number field, we compute the set of Brauer equivalence classes in X(k). 0. Introduction In this note we investigate the Brauer equivalence in a homogeneous space X = H\G, where G is a simply connected algebraic group over a local field or a number ...

This research aimed to find out how the effect of replacing BR1 with BR2 on broiler performance. The method was experimental using a Completely Randomized Design (CRD) 5 treatments consisted R1: giving aged 1 35 days, R2: R3: 7 days and 8 R4: 14 15 R5: 21 22 days. Each treatment replicated times. observed variables were daily ration consumption, body weight gain, conversion. Data analyzed by va...

Tomato golden mosaic virus is a bipartite geminivirus whose genome is divided between two circular DNA molecules. DNA A encodes functions necessary for viral DNA replication and encapsidation, whereas DNA B provides functions needed for movement in the host. Previous studies have shown that the viral AL2 gene product transactivates expression of the coat protein gene (AR1). We have investigated...

Background Bradykinin (BK) plays a significant role in pathophysiology of different diseases from angioedema to brain stroke and heart attack by inducing vasodilatation and increasing capillary permeability. We investigate the potential effects of natriuretic peptides on BK signaling by measuring membrane potential (Vm) of HEK293 cells using the whole cell patch clamp technique. HEK293cells are...

Tomato golden mosaic virus is a bipartite geminivirus whose genome is divided between two circular DNA molecules. DNA A encodes functions necessary for viral DNA replication and encapsidation, whereas DNA B provides functions needed for movement in the host. Previous studies have shown that the viral AL2 gene product transactivates expression of the coat protein gene (AR1). We have investigated...