An orthogonal transformation group of $(8k-1)$-sphere

An Orthogonal Transformation Algorithm for GPS Positioning

The Global Positioning System (GPS) is a satellite based navigation system. GPS satellites transmit signals that allow one to determine the location of GPS receivers. In GPS, a typical technique for kinematic position estimation is differential positioning where two receivers are used: one receiver is stationary and its exact position is known, and the other is roving and its position is to be ...

Smooth Orthogonal Projections on Sphere

We construct a decomposition of the identity operator on the sphere S as a sum of smooth orthogonal projections subordinate to an open cover of S. We give applications of our main result in the study of function spaces and Parseval frames on the sphere.

Orthogonal Non{Bandlimited Wavelets on the Sphere

This paper introduces orthogonal non{bandlimited wavelets on the sphere with respect to a certain Sobolev space topology. The construction of those kernels is based on a clustering of the index set N = f(n; k) 2 N0 Zj n k ng associated to the system of spherical harmonics fYn;kg(n;k)2N . The wavelets presented here form reproducing kernels of the spans of the clustered harmonics. More explicitl...

Divisible Designs Admitting, as an Automorphism Group, an Orthogonal Group Or a Unitary Group

compactifications and representations of transformation semigroups

this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...