Admissible Invariant Distributions on Reductive P-Adic Groups (University Lecture Series) - Softcover

Harish-Chandra; Debacker, Stephen; Sally, Paul

Softcover

ISBN 10: 0821820257 ISBN 13: 9780821820254

Verlag: American Mathematical Society, 1999

Inhaltsangabe

Harish-Chandra presented these lectures on admissible invariant distributions for p-adic groups at the Institute for Advanced Study in the early 1970s. He published a short sketch of this material as his famous "Queen's Notes". This book, which was prepared and edited by DeBacker and Sally, presents a faithful rendering of Harish-Chandra's original lecture notes.
The main purpose of Harish-Chandra's lectures was to show that the character of an irreducible admissible representation of a connected reductive p-adic group G is represented by a locally summable function on G. A key ingredient in this proof is the study of the Fourier transforms of distributions on g, the Lie algebra of G. In particular, Harish-Chandra shows that if the support of a G-invariant distribution on g is compactly generated, then its Fourier transform has an asymptotic expansion about any semisimple point of g.

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 1999
• Sprache: Englisch
• ISBN 10: 0821820257
• ISBN 13: 9780821820254
• Einband: Taschenbuch
• Anzahl der Seiten: 97
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar