We define a new function-valued inner product on L2(G), called ?-bracket product, where G is a locally compact abelian group and ? is a topological isomorphism on G. We investigate the notion of ?-orthogonality, Bessel's Inequality and ?-orthonormal bases with respect to this inner product on L2(G).

background: the present study investigated the effect of the middle east dust storm episodes on the concentration and composition of pm 10 during april to september 2013 in sanandaj city, western iran. methods: sampling was once every six days, and on dusty days using an omni air sampler. the pm 10 sample was collected on polytetrafluoroethylene filters. average of 24 h values of pm 10 mass con...

interleukin-4 (il-4) is produced by t-helper cells type 2 (th2) and induces ige synthesis. t-helper cells type 1 (th1) produce interferon-gamma (ifn-gamma) which suppresses th2 and reduces il-4 induced ige production. in this :;tudy , we demonstrated that the levels of specific ige in the serum of atopic children (n=20) were elevated while il-4 production was increased and ifn-gamma secretion w...

cold stress is one of the most important environmental stresses for rice especially in temperate and high elevation areas. in present study, the effect of different temperatures, as the main plot, including 25 (control), 10 and 5°c on 12 rice cultivars (including champa yasouj, gerde, lenjan askari, kaamfirouz, kohsar, shafagh, domsiya mamassani, dular, gharib, hasan saraei, mosa tarom and 304)...

for any group g, let c(g) denote the set of centralizers of g.we say that a group g has n centralizers (g is a cn-group) if |c(g)| = n.in this note, we prove that every finite cn-group with n ≤ 21 is soluble andthis estimate is sharp. moreover, we prove that every finite cn-group with|g| < 30n+1519 is non-nilpotent soluble. this result gives a partial answer to aconjecture raised by a. ashrafi in ...

BACKGROUND Hypoxia of locally advanced head and neck cancers is one of the main causes of their radiation resistance that presents clinically as a persistence of residual tumor disease after radiation therapy. Therefore, detection of tumor hypoxia could be an important predictor of treatment efficacy. Carbonic anhydrase IX (CA IX) is a protein, coded by a homonymous gene, the expression of whic...

Previous studies have led to the hypothesis that some proteins of the postsynaptic membrane are locally synthesized at postsynaptic sites. To evaluate this hypothesis, synaptosome fractions that included fragments of dendrites were allowed to incorporate labeled amino acid into protein. The labeled synaptosomes were then subfractionated to the level of the synaptic plasma membrane (SPM) and the...

In this paper we give some characterizations of topological extreme amenability. Also we answer a question raised by Ling [5]. In particular we prove that if T is a Borel subset of a locally compact semigroup S such that M(S)* has a multiplicative topological left invariant mean then T is topological left lumpy if and only if there is a multiplicative topological left invariant mean M on M(S)* ...

In this work, we study direct limits of finite dimensional basic classical simple Lie superalgebras and obtain the conjugacy classes of Cartan subalgebras under the group of automorphisms.