4,924 research outputs found
Abstract Harmonic Analysis on the General Linear Group GL(n,R)
Consider the general linear group, which is not connected but rather has two
connected components, the matrices with positive determinant and the ones with
negative determinant. Consider the Iwasawa decomposition of its special linear
group. We adopt the technique of the paper [12] to generalize the definition of
the Fourier transform and to obtain the Plancherel theorem for the special
linear group. Besides we prove that the component with negative determinant has
a structure of group, which is isomorphic onto the group of the component with
positive determinant in order to obtain the Plancherel theorem the general
linear groupComment: 23 pages. arXiv admin note: text overlap with arXiv:1404.3361,
arXiv:1404.160
Egyptian Diplomacy and International Relations
Foreign policy is an essential component of Egypt’s general state policy. Together with its traditional diplomatic and political functions, and given that development policy is considered a key objective, the Egyptian Foreign Ministry participates in the country’s development effort by trying to attract foreign investment, obtain economic assistance and facilitate technology transfers. Egyptian diplomacy also seeks to maintain strong bilateral and multilateral relationships, which is another essential goal of Egypt’s general policy. Strengthening traditional friendly relations as well as building new relationships enables Egypt to exercise influence and pursue its national interest all over the globe
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