THE PLANCHEREL FORMULA FOR SL(2) OVER A LOCAL FIELD*
AUTOR(ES)
Sally, P. J.
RESUMO
More than two decades ago, in his classical paper on the irreducible unitary representations of the Lorentz group, V. Bargmann initiated the concrete study of Fourier analysis on real Lie groups and obtained the analogue of the classical Fourier expansion theorem in the case of the Lorentz group. Since then the general theory for real semisimple Lie groups has been extensively developed, chiefly through the work of Harish-Chandra. More generally, one may consider groups defined by algebraic equations over locally compact fields, in particular local fields, and ask for an explicit Fourier expansion formula. In the present article the authors obtain this formula for the group SL(2).
ACESSO AO ARTIGO
http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=223502Documentos Relacionados
- CHARACTERS OF THE DISCRETE SERIES OF REPRESENTATIONS OF SL(2) OVER A LOCAL FIELD*
- ON THE PLANCHEREL FORMULA FOR THE RIGHT-INVARIANT FUNCTIONS ON A SEMISIMPLE LIE GROUP
- AUTOMATIC DEVICE FOR RAPID ASSESSMENT OF THE CENTRAL VISUAL FIELD*
- MAGNETOHYDRODYNAMIC WAVES IN A CONSTANT DIPOLE MAGNETIC FIELD*
- An Address on DEVELOPMENTS IN THE PUBLIC HEALTH FIELD*