The hyperbolic square and Mobius transformations
نویسندگان
چکیده
منابع مشابه
The Mobius Band and the Mobius Foliation
Some years ago we introduced a new topological invariant for foliated manifolds using techniques from noncommutative geometry, in particular the pairing between K-Theory and cyclic cohomology. The motivation came from flat principal G-bundles where the base space is a non simply connected manifold. The computation of this invariant is quite complicated. In this article we try to perform certain...
متن کاملUnifying Unitary and Hyperbolic Transformations
In this paper we describe uniied formulas for unitary and hyperbolic reeections and rotations, and show how these uniied transformations can be used to compute a Hermitian triangular decomposition ^ R H D ^ R of a strongly nonsingular indeenite matrix ^ A given in the form ^ The uniication is achieved by the introduction of signature matrices which determine whether the applicable transformatio...
متن کاملOn Generating Julia Set Fractal Shaped Images through Mobius Transformations
1. Bourke, P.: An Introduction to fractals ,http://paulbourke.net/fractals/fracintro/ 2. Gangopadhyay, T. The effect of multiple rotations on Mobius transformations in generating IFS Fractalss, International journal of Computer Applications 142(6):18-22, May 2016 3. Julia, G. Mémoire sur l'itération des fonctions rationnelles, Journal de Mathématiques Pures et Appliquées, 1918 4. Krantz, S. G. ...
متن کاملThe Effect of Multiple Rotations on Mobius Transformations in Generating IFS Fractals
1. Bourke, P.: An Introduction to the Apollony Fractal. Computers and Graphics, 30( 2006) 134–136. 2. Gangopadhyay, T. IFS Fractals generated by Affine Transformation with Trigonometric Coefficients and their Transformations, International journal of Computer Applications 53(2012) 29-32.. 3. Gangopadhyay, T. The Effect of Multiple Rotations on a Unified System of Affine Transformations with Rel...
متن کاملOn the Factorization of Hyperbolic and Unitary Transformations into Rotations
This paper presents a Σ-unitary analogue to the CS decomposition of a partitioned unitary matrix. The hyperbolic rotations revealed by the decomposition are shown to be optimal in that, among a broader class of decompositions of Σ-unitary matrices into elementary hyperbolic rotations, they are the smallest possible in a sum-of-squares sense. A similar optimality property is shown to hold for th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Banach Journal of Mathematical Analysis
سال: 2007
ISSN: 1735-8787
DOI: 10.15352/bjma/1240321560