Geometric polarimetry - part II: the Antenna Height Spinor and the Bistatic Scattering Matrix [PDF]
, 2017 This paper completes the fundamental development of the basic coherent entities in Radar Polarimetry for coherent reciprocal scattering involving polarized wave states, antenna states and scattering matrices. The concept of antenna polarization states as
Bebbington, David, Carrea, Laura
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On the Solutions of Some Linear Complex Quaternionic Equations [PDF]
, 2014 Some complex quaternionic equations in the type AX-XB= C are investigated. For convenience, these equations were called generalized Sylvester-quaternion equations, which include the Sylvester equation as special cases.
Bolat, Cennet, İpek, Ahmet
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Cycles of linear and semilinear mappings
, 2012 We give a canonical form of matrices of a cycle of linear or semilinear mapping V_1 --- V_2 --- ... --- V_t --- V_1 in which all V_i are complex vector spaces, each line is an arrow ---> or
Bass +16 more
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Stratification theory of matrix pairs under equivalence and contragredient equivalence [PDF]
, 2019 We develop the theory of perturbations of matrix pencils basing on their miniversal deformations. Several applications of this theory are given. All possible Kronecker pencils that are canonical forms of pencils in an arbitrary small neighbourhood of ...
Klymchuk, Tetiana
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Development of polarimetric vector signal and tensor image processing in wideband interferometric POL-RAD/SAR signature analysis [PDF]
, 1994 Based on the complete transmission versus scattering matrix description and the availability of the associated sets of four distinct matrices, vector signal (PMSF) and tensor image (PMIF) signature processing algorithms are introduced for the ...
168818 +11 more
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Classification of pairs of rotations in finite-dimensional Euclidean space
, 2008 A rotation in a Euclidean space V is an orthogonal map on V which acts locally as a plane rotation with some fixed angle. We give a classification of all pairs of rotations in finite-dimensional Euclidean space, up to simultaneous conjugation with ...
Darpö, Erik
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OPUC, CMV matrices and perturbations of measures supported on the unit circle [PDF]
, 2015 Let us consider a Hermitian linear functional defined on the linear space of Laurent polynomials with complex coefficients. In the literature, canonical spectral transformations of this functional are studied.
Marcellán Español, Francisco José +1 more
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Spin Angular Momentum of Proton Spin Puzzle in Complex Octonion Spaces
, 2017 The paper focuses on considering some special precessional motions as the spin motions, separating the octonion angular momentum of a proton into six components, elucidating the proton angular momentum in the proton spin puzzle, especially the proton ...
Weng, Zi-Hua
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Isotropy groups of the action of orthogonal *congruence on Hermitian matrices
, 2023 We present a procedure which enables the computation and the description of structures of isotropy subgroups of the group of complex orthogonal matrices with respect to the action of *congruence on Hermitian matrices.
Starčič, Tadej
core
Inversion transformations with respect to conics in hybrid number planes [PDF]
This paper presents a comprehensive study of geometric inversion with respect to central conics in hybrid number planes, which unify complex, hyperbolic, and dual numbers within a single algebraic structure. By employing the hybrid scalar product and the
Hasan Çakır +2 more
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