The initial boundary-transmission problems for electromagnetic fields in homogeneous and anisotropic media for canonical semi-infinite domains, like halfspaces, wedges and the exterior of halfand quarter-plane obstacles are formulated with the use of complex quaternions. The time-harmonic case was studied by A.Passow in his Darmstadt thesis 1998 in which he treated also the case of an homogeneo...

In this work, we prove the existence and uniqueness of solution generalized Schrödinger type homogeneous model in periodic distributional space P’. Furthermore, that depends continuously respect to initial data Introducing a family weakly continuous operators, is group operators Then, with get fine version dependency theorem obtained. Finally, give some remarks derived from study.

In this article we introduce the notion of multi-Koszul algebra for the case of a locally finite dimensional nonnegatively graded connected algebra, as a generalization of the notion of (generalized) Koszul algebras defined by R. Berger for homogeneous algebras. This notion also extends and generalizes the one recently introduced by the author and A. Rey, which was for the particular case of al...

By using the Lp(⋅)−Lp(⋅)−boundedness of a maximal operator defined on homogeneous space, it has been shown that B−B−maximal is bounded. In present paper, we aim to bring different approach boundedness generated by generalized translation under continuity assumption p(⋅)p(⋅). It noteworthy mention our weaker than uniform Hölder continuity.

Let X be a projective algebraic variety over an algebraically closed field k admitting a homogeneous action of a semisimple linear algebraic group G. Then X can be canonically identified with the homogeneous space G/Gx, where x is a closed point in X and Gx the stabilizer group scheme of x. A group scheme over a field of characteristic 0 is reduced so in this case, X is isomorphic to a generali...

The detection performance of the generalized detector (GD) constructed based on the generalized approach to signal processing in noise is evaluated under homogeneous and non-homogeneous noise. The GD adaptive threshold is derived and defined applying an appropriate noise power estimation using the sliding window technique. The direct close expressions for the GD average probability of detection...