In this paper, we introduce a class Rk(γ) of analytic functions of bounded radius rotation with respect to symmetrical points and study some of its basic properties. Using this concept, two other classes T s k (δ ,γ) , K s k (δ ,γ) are also defined. We study coefficient results, arc-length and radius problems for these classes. Mathematics subject classification (2000): 30C45, 30C50.

In this note we study some topological properties of bounded sets and Bourbaki-bounded sets. Also we introduce two types of Bourbaki-bounded homomorphisms on topological groups  including, n$-$Bourbaki-bounded homomorphisms and$hspace{1mm}$ B$-$Bourbaki-bounded homomorphisms. We compare them to each other and with the class of continuous homomorphisms. So, two topologies are presented on them a...

The classical criterion for a circle diffeomorphism to be topologically conjugate to an irrational rigid rotation was given by A. Denjoy [1]. In [5] one of us gave a new criterion. There is an example satisfying Denjoy's bounded variation condition rather than [5]'s Zygmund condition and vice versa. This paper will give the third criterion which is implied by either of the above criteria.

In this article we review first some of the possibilities in which the notions of Følner sequences and quasidiagonality have been applied to spectral approximation problems. We construct then a canonical Følner sequence for the crossed product of a concrete C∗-algebra and a discrete amenable group. We apply our results to the rotation algebra (which contains interesting operators like almost Ma...

In this paper, a new method of feature extraction with rotation invariant property is presented. One of the main contributions of this study is that a rotation invariant signature of 2-D contours is selected based on the fractal theory is proposed. The rotation invariant signature is a measure of the fractal dimensions, which is rotation invariant based on a series of central projection transfo...

for any reduced commutative $f$-ring with identity and bounded inversion, we show that a condition which is obviously necessary for the socle of the ring to coincide with the socle of its bounded part, is actually also sufficient. the condition is that every minimal ideal of the ring consist entirely of bounded elements. it is not too stringent, and is satisfied, for instance, by rings of conti...

Despite extensive surveys of extragalactic TeV gamma-ray candidates only 3 sources have so far been detected. All three are northern hemisphere objects and all three are low-redshift X-ray selected BL Lacs (XBLs). In this paper we present the results of observations of the three nearest southern hemisphere XBLs (PKS0548−322, PKS2005−489 and PKS2155−304) with the CANGAROO 3.8m imaging telescope....

Yet each in itself – this was the uncanny, the antiorganic, the life-denying character of them all – each of them was absolutely symmetrical, icily regular in form. They were too regular, as substance adapted to life never was to this degree – the living principle shuddered at this perfect precision, found it deathly, the very marrow of death – Hans Castorp felt he understood now the reason why...