Memoirs of the American Mathematical Society 2013; 94 pp; softcover Volume: 222 ISBN10: 0821875655 ISBN13: 9780821875650 List Price: US$69 Individual Members: US$41.40 Institutional Members: US$55.20 Order Code: MEMO/222/1042
 Suppose \(G\) is a real reductive algebraic group, \(\theta\) is an automorphism of \(G\), and \(\omega\) is a quasicharacter of the group of real points \(G(\mathbf{R})\). Under some additional assumptions, the theory of twisted endoscopy associates to this triple real reductive groups \(H\). The Local Langlands Correspondence partitions the admissible representations of \(H(\mathbf{R})\) and \(G(\mathbf{R})\) into \(L\)packets. The author proves twisted character identities between \(L\)packets of \(H(\mathbf{R})\) and \(G(\mathbf{R})\) comprised of essential discrete series or limits of discrete series. Table of Contents  Introduction
 Notation
 The foundations of real twisted endoscopy
 The Local Langlands Correspondence
 Tempered essentially squareintegrable representations
 Spectral transfer for essentially squareintegrable representations
 Spectral transfer for limits of discrete series
 Appendix A. Parabolic descent for geometric transfer factors
 Bibliography
 Index
