S. K. Berberian, Lectures in Functional Analysis and Operator Theory (Graduate Texts in Mathematics Vol. 15, Springer-Verlag, 1974), ix+345 pp., DM38.50, $15.70.

Graduate Texts in Mathematics

Game Theory and Information Economics Springer-verlag

R . Wallach Symmetry , Representations , and Invariants Graduate Texts in Mathematics 255 Springer

In this appendix we shall find all the irreducible representations of the symmetry groups of the Platonic solids, by a mixture of geometric methods and algebraic methods similar to those used in Chapters 5 for representations of the classical groups. We shall also see how these representations occur naturally in the harmonic analysis of functions on the Platonic solids. This is a discrete analo...

Nolan R . Wallach Symmetry , Representations , and Invariants Graduate Texts in Mathematics 255 Springer

In this appendix we give another algebraic proof of the Weyl character formula, using methods that have many other applications in Lie theory. We begin by setting up the machinery of Lie algebra cohomology (without assuming any previous background in homological algebra). We define the cohomology spaces for a Lie algebra representation in terms of a cochain complex and differential, with the co...

cohesion and cohesive devices in a contrastive analysis between ge and esp texts

the present study was an attempt to conduct a contrastive analysis between general english (ge) and english for specific purposes (esp) texts in terms of cohesion and cohesive devices. to this end, thirty texts from different esp and ge textbooks were randomly selected. then they were analyzed manually to find the frequency of cohesive devices. cohesive devices include reference, substitution, ...