This research paper addresses secularization from both political and religious perspectives. One of its manifestations in the political sphere is that of globalization that can lead to alienation within society; and in the United Kingdom this is exemplified by Brexit. Within the religious sphere secularization is usually couched in oppositional terms. This paper reclaims the original use ...

We study the possibility of generation photo-induced image currents at a distance from surface nano-sized metal clusters by using time-dependent perturbation theory. reveal that wave function an electron excited to state is localized outside and current flows in spherical shell whose radius few times sphere. Spin polarized light has been applied perfect icosahedral cluster Li$_{13}$ optimizatio...

We give a new proof of Ohta’s Λ-adic Eichler-Shimura isomorphism using p-adic Hodge theory and the results of Bloch-Kato and Hyodo on p-adic étale cohomology.

A description of the closure in the Bloch norm of the Bloch functions that are in a Hardy space is given. The result uses the classical estimates for the Lusin area function. §

New criteria for the boundedness and the compactness of the generalized weighted composition operators from mixed norm spaces into Blochtype spaces are given in this paper.

Let u be a holomorphic function and φ a holomorphic self-map of the open unit disk D in the complex plane. We give some new characterizations for the boundedness of the weighted composition operators uCφ from Bloch type spaces to Zygmund type spaces in D in terms of u,φ, their derivatives and the n-th power φ of φ. Moreover, we obtain some similar estimates for their essential norms. From which...

Kato established higher local reciprocity map (see section 5 and [K1, Th. 2 of §6] (two-dimensional case), [K2, Th. II], [K3, §4]) using in particular this theorem. In this section we deduce the reciprocity map for higher local fields from this theorem and Bloch–Kato’s theorem of section 4. Our approach which uses generalized class formations simplifies Kato’s original argument. We use the nota...