Description
BIRKHAUSER Representation Theory And Automorphic Forms 2007 Edition by Toshiyuki Kobayashi Wilfried Schmid Jae-Hyun Yang
This volume uses a unified approach to representation theory and automorphic forms. It collects papers written by leading mathematicians that track recent progress in the expanding fields of representation theory and automorphic forms and their association with number theory and differential geometry. Topics include: Automorphic forms and distributions modular forms visible-actions Dirac cohomology holomorphic forms harmonic analysis self-dual representations and Langlands Functoriality Conjecture Both graduate students and researchers will find inspiration in this volume. Table of contents : Introduction.- Ramakrishnan D.: Irreducibility and Cuspidality.-Ikeda T.: On Liftings of Holomorphic Modular Forms.-Kobayashi T.: Multiplicity-free Theorems of the Restrictions of Unitary Highest Weight Modules with respect to Reductive Symmetric Pairs.-Miller S. Schmid W.: The Rankin--Selberg Method for Automorphic Distributions.- Shahidi F.: Langlands Functoriality Conjecture and Number Theory.- Yoshikawa K.: Discriminant of certain K3 surfaces.- References.- Index.