The geometry and the analytic properties of isotropic multiresolution analysis

An Extension of Poincare Model of Hyperbolic Geometry with Gyrovector Space Approach

‎The aim of this paper is to show the importance of analytic hyperbolic geometry introduced in [9]‎. ‎In [1]‎, ‎Ungar and Chen showed that the algebra of the group $SL(2,mathbb C)$ naturally leads to the notion of gyrogroups ‎and gyrovector spaces for dealing with the Lorentz group and its ‎underlying hyperbolic geometry‎. ‎They defined the Chen addition and then Chen model of hyperbolic geomet...

Ray-tracing and Interferometry in Schwarzschild Geometry

Here, we investigate the possible optical anisotropy of vacuum due to gravitational field. In doing this, we provide sufficient evidence from direct coordinate integration of the null-geodesic equations obtained from the Lagrangian method, as well as ray-tracing equations obtained from the Plebanski’s equivalent medium theory. All calculations are done for the Schwarzschild geometry, which resu...

NATURAL VIBRATION ANALISIS OF CLAMPED ANNULAR ISOTROPIC SECTOR SHIP HULL PLATE USING EKM

The natural vibrations of clamped annular isotropic sector plates are analyzed using the Extended Kantorovich Method (EKM). A conformal mapping is used to transform a sector with identified geometry to a rectangular plate which the solution is available in literature and solved by Dalaei and Kerr [1] using EKM. The developed iterative scheme converges very rapidly to the final result. The obtai...

Theoretical Study of electronic Structure of [CoF6]3" Complex embedded in Nano-Ring

Density functional theory calculations (DFT), as well as hybrid methods (B3LYP) for Bi8N18-[CoF6]3- complexhave been carried out to study the non-bonded interaction. The geometry of the 1313N18 has been optimized atB3LYP method with EPR-II basis set and geometry of the [CoF6]3 have been optimized at B3LYP method withDe12-TZVP basis set and Stuttgart RSC 1997 Effective Core Potential. The electr...

The theory of matrix-valued multiresolution analysis frames