On the square integrability of some representatins ...



Title On the square integrability of some representatins of SU (1, 1)
Author(s) Nasser Saad
Date 1993
Publisher Concordia University
Place published Montreal, Canada
Abstract We survey the theory of square integrable group representations for the non-compact, semisimple lie group SU(1,1), which has three different series of representations: principal, complementary and discrete. As a result of our survey we conclude that the discrete series representations are the only ones which are square integrable in the classical sense. In addition, we study the square integrability of the principal series representation over the homogeneous spaces SU(1,1)/A and SU(1,1)/N, where A and N are closed subgroups of SU(1,1). This latter is a generalization of an earlier proposal by Perelomov.

Using APA 6th Edition citation style.

[Page generation failure. The bibliography processor requires a browser with Javascript enabled.]

Times viewed: 489

Adding this citation to "My List" will allow you to export this citation in other styles.