Difficulty for undergraduate students taking a basic organic chemistry course arises when they

have to understand the relationship between the different molecular representations, for example,

between Fischer and Newman representations...

In this paper we introduce two-wavelet constants for square integrable representations of omogeneous spaces. We establish the orthogonality relations for square integrable representations of homogeneous spaces which give rise to the existence of a...

measure for classifying protein conformational states using spectral representation

and Wigner’s D-functions. Predictions based on the new measure are in good agreement with

conformational states of proteins. These results could also...

decade,

but in one point of view these groups are semidirect product of two locally com-

pact abelian groups. In this respect, we introduce the continuous wavelet transforms

associated to some square integrable representations...

Let G be a locally compact group and H be a compact subgroup of G. We show that the range of the continuous wavelet transform on a homogenous space G/H is a reproducing kernel Hilbert space.

We show that every Finsler module over a C^* -algebra has a

quasi-representation into the Banach space

mathbb{B}( mathscr{H}, mathscr{K}) of all bounded linear

operators between some Hilbert spaces mathscr{H} and...